{"id":13882,"date":"2023-06-20T14:21:15","date_gmt":"2023-06-20T08:51:15","guid":{"rendered":"https:\/\/apboardsolutions.in\/?p=13882"},"modified":"2023-06-21T17:19:05","modified_gmt":"2023-06-21T11:49:05","slug":"ap-10th-class-maths-bits-chapter-7","status":"publish","type":"post","link":"https:\/\/apboardsolutions.in\/ap-10th-class-maths-bits-chapter-7\/","title":{"rendered":"AP 10th Class Maths Bits Chapter 7 Coordinate Geometry with Answers"},"content":{"rendered":"

Practice the AP 10th Class Maths Bits with Answers<\/a> Chapter 7 Coordinate Geometry on a regular basis so that you can attempt exams with utmost confidence.<\/p>\n

AP SSC 10th Class Maths Bits 7th Lesson Coordinate Geometry with Answers<\/h2>\n

Question 1.
\nWrite the nearest point to origin,
\ni) (2, – 3)
\nii) (5, 0)
\niii) (0, – 5)
\niv) (1, 3)
\nAnswer:
\n(1,3)<\/p>\n

Question 2.
\nThe distance of a point (3, 4) from the origin is how many units ?
\nAnswer:
\n5 units.<\/p>\n

Question 3.
\nWrite the formula to find the area of a triangle.
\nAnswer:
\n\u0394 = \\(\\frac { 1 }{ 2 }\\) bh and
\n\u0394 = \\(\\sqrt{s(s-a)(s-b)(s-c)}\\)<\/p>\n

Question 4.
\nFind the mid point of (2, 3) and (-2,3).
\nAnswer:
\n(0, 3)<\/p>\n

\"AP<\/p>\n

Question 5.
\nFind the distance to X – axis from the point (3, – 4).
\nAnswer:
\n4 units<\/p>\n

Question 6.
\nFind the centroid of the triangle formed by these points (0, 3); (3, 0) and (0, 0).
\nAnswer:
\n(1, 1)<\/p>\n

Question 7.
\nWhere do the points lie on co-ordinate axis ?
\n(- 4, 0), (2, 0), (6, 0), (- 8, 0)
\nAnswer:
\nOn X-axis.<\/p>\n

Question 8.
\nThe graph of y = 5 represents.
\nAnswer:
\nParallel to X – axis.<\/p>\n

Question 9.
\nFind sum of the distances from A(3, 4) to X – axis and from B(5, 7) to Y – axis.
\nAnswer:
\n9 units.<\/p>\n

Question 10.
\nFind the distance from origin to (2,3).
\nAnswer:
\n\\(\\sqrt{13}\\) units.<\/p>\n

Question 11.
\nFind slope of the line passing through the points (0, sin 60\u00b0) and (cos 30\u00b0, 0).
\nAnswer:
\nm = – 1<\/p>\n

Question 12.
\nIf the mid point of (x – y, 8) and (2, x + y) is (5, 10), then find (x, y).
\nAnswer:
\n(10,2)<\/p>\n

Question 13.
\nWhere the point (0, 5) lies ?
\nAnswer:
\nOn Y – axis.<\/p>\n

Question 14.
\nFind the area of a triangle whose verti-ces (points) Eire (0, 0), (3, 0) and (0, 4).
\nAnswer:
\n6 sq. units.<\/p>\n

Question 15.
\nWrite the slope of Y – axis.
\nAnswer:
\nNot defined.<\/p>\n

Question 16.
\nFind the mid point of line segment joined by (4, 5) and (- 6, 3).
\nAnswer:
\n(-1,4)<\/p>\n

\"AP<\/p>\n

Question 17.
\n(x, y), (2,0), (3,2) and (1,2) are vertices of a parallelogram, then find (x, y).
\nAnswer:
\n(0, 0)<\/p>\n

Question 18.
\nFind centroid of a triangle, whose ver-tices are (- a, 0), (0, b) and (a, 0).
\nAnswer:
\n(0, \\(\\frac { b }{ 3 }\\))<\/p>\n

Question 19.
\nFind the distance between two points A (a cos 0, 0), B (0, a sin 0).
\nAnswer:
\na units.<\/p>\n

Question 20.
\nFind the distance between (0, 0), (x1<\/sub>, y1<\/sub>) points.
\nAnswer:
\n\\(\\sqrt{\\mathrm{x}_{1}^{2}+\\mathrm{y}_{1}^{2}}\\)<\/p>\n

Question 21.
\nIf A(log2<\/sub> 8, log5<\/sub> 25) and B(log10<\/sub> 10, log10<\/sub> 100), then find the mid-point of AB.
\nAnswer:
\n(2,2)<\/p>\n

Question 22.
\nFind the distance between (0, 7) and (- 7, 0).
\nAnswer:
\n7\\(\\sqrt{2}\\) units.<\/p>\n

Question 23.
\nFind slope of the line passing through the points (- 1, 1) and (1, 1).
\nAnswer:
\n0<\/p>\n

Question 24.
\nFind the slope of the line passing through the points (4, 6) and (2, – 5).
\nAnswer:
\n\\(\\frac { 11 }{ 2 }\\)<\/p>\n

Question 25.
\nIn the given figure, find the area of \u0394OAB.
\n\"AP
\nAnswer:
\n6 sq. units.<\/p>\n

Question 26.
\nA line makes 45\u00b0 with X – axis, then find its slope.
\nAnswer:
\nm = tan \u03b8 = tan 45\u00b0 = 1<\/p>\n

Question 27.
\nIf a line is passing through (2, 3) and (2, – 3), then write the nature of that line.
\nAnswer:
\nThe line is parallel to Y – axis and The slope of the line is not defined.<\/p>\n

Question 28.
\nFind area of the triangle formed by the points A(0, 0), B(1, 0) and C(0, 1).
\nAnswer:
\n\\(\\frac { 1 }{ 2 }\\) sq. units.<\/p>\n

Question 29.
\nFind the distance from X – axis to (- 4, 3) is units.
\nAnswer:
\n3 units.<\/p>\n

Question 30.
\nFind the area of the triangle BOA is …………… sq. units.
\n\"AP
\nAnswer:
\n3 sq. units.<\/p>\n

\"AP<\/p>\n

Question 31.
\nFind the slope of the line that passes through the points P (x1<\/sub>, y1<\/sub>) and Q(x2<\/sub>, y2<\/sub>) and making an angle ‘\u03b8’ with X – axis.
\nAnswer:
\nm = \\(\\frac{y_{2}-y_{1}}{x_{2}-x_{1}}\\)<\/p>\n

Question 32.
\nThe area of given triangle is 60 sq. units, then find x = …………units.
\n\"AP
\nAnswer:
\n12 units.<\/p>\n

Question 33.
\nA line makes 45\u00b0 with X – axis, then find its slope.
\nAnswer:
\n1<\/p>\n

Question 34.
\nFind the distance between the points (x1<\/sub>, y1<\/sub>) and (x2<\/sub>, y2<\/sub>) which are on the line parallel to Y – axis.
\nAnswer:
\n|y – y2<\/sub>| or |y2 <\/sub>– y1<\/sub> |<\/p>\n

Question 35.
\nIf the co-ordinates of the vertices of a rectangle are (0, 0), (4, 0), (4, 3) and (0, 3), then find the length of its di\u00acagonal.
\nAnswer:
\n5 units.<\/p>\n

Question 36.
\nFind the distance from Y-axis to (4, 0) is ……………. units.
\nAnswer:
\n4 units.<\/p>\n

Question 37.
\nDraw the graph represented by y = x.
\n\"AP<\/p>\n

Question 38.
\nIf origin is the centroid of a triangle, whose vertices are (3, 2), (- 6, y) and (3, – 2), then calculate ‘y’.
\nAnswer:
\ny = 0<\/p>\n

Question 39.
\nIn a coordinate plane, if line segment AB is parallel to X – axis, then write about points A and B.
\nAnswer:
\nX – coordinates of points A and B are equal.<\/p>\n

Question 40.
\nFind the distance between the points (0, 7) and (- 7, 0).
\nAnswer:
\n7\\(\\sqrt{2}\\) units.<\/p>\n

Question 41.
\nFind the distance of the point (- 8, 3) from the origin.
\nAnswer:
\n\\(\\sqrt{73}\\) units<\/p>\n

Question 42.
\nIf points (x, 0), (0, y) and (1, 1) are collinear, then find \\(\\frac{1}{x}+\\frac{1}{y}\\).
\nAnswer:
\n1<\/p>\n

Question 43.
\nWrite a point on the X – axis is of the form.
\nAnswer:
\n(x, 0)<\/p>\n

Question 44.
\nFind the points (- 3, 0), (0, 5) and (3, 0) are the vertices of which type of triangle ?
\nAnswer:
\nIsosceles triangle.<\/p>\n

Question 45.
\nFind the area of the triangle formed by (a, b + c), (b, c + a) and (c, a + b).
\nAnswer:
\n0<\/p>\n

Question 46.
\nWrite a point on the Y – axis is of the form.
\nAnswer:
\n(0, y)<\/p>\n

Question 47.
\nThe point which divides the line segment joining the points (3, 4) and (7, – 6) internally in the ratio 1 : 2 lies in the quadrant.
\nAnswer:
\nQ4<\/sub><\/p>\n

\"AP<\/p>\n

Question 48.
\nFind the distance between the points (- 2, 3) and (2, – 3).
\nAnswer:
\n\\(\\sqrt{52}\\) units.<\/p>\n

Question 49.
\nAOBC is a rectangle whose three ver-tices are A(4, 0), B(0, 3) and O (0, 0), then find its diagonal ?
\nAnswer:
\n5 units.<\/p>\n

Question 50.
\nFind the distance of the point (-8, -7) from Y – axis.
\nAnswer:
\n8 units.<\/p>\n

Question 51.
\nA circle is drawn with origin as centre and passing through (2, 3), then find its radius.
\nAnswer:
\n\\(\\sqrt{13}\\) units.<\/p>\n

Question 52.
\nFind the perimeter of a triangle whose vertices are A(12, 0), 0(0,.0) and B(0, 5).
\nAnswer:
\n30 units.<\/p>\n

Question 53.
\nFind the distance of the point (- 4, 3) from X – axis.
\nAnswer:
\n3 units.<\/p>\n

Question 54.
\nIf the distance between the points (4, y) and (1, 0) is 5, then find ‘y’.
\nAnswer:
\ny = \u00b1 4.<\/p>\n

Question 55.
\nWrite the distance of (x, y) from X-axis.
\nAnswer:
\ny units.<\/p>\n

Question 56.
\nFind the distance of the point (- 9, 40) from the origin.
\nAnswer:
\n41 units<\/p>\n

Question 57.
\nIf (0, 0), (a, 0) and (0, b) are collinear, then write the relation between ‘a’ and b\u2019.
\nAnswer:
\nab = 0<\/p>\n

Question 58.
\nWhich ratio the centroid divides each median ?
\nAnswer:
\n2:1<\/p>\n

Question 59.
\nFind the value of ‘p’ if the distance be-tween (2, 3) and (p, 3) is 5. ,
\nAnswer:
\np = 7<\/p>\n

Question 60.
\nFind the angle between X – axis and Y – axis.
\nAnswer:
\n90\u00b0<\/p>\n

Question 61. Find the distance between the points (a cos \u03b8, 0) and (0, a sin \u03b8).
\nAnswer:
\n‘a\u2019 units<\/p>\n

Question 62.
\n(- 2, 8) belongs to which quadrant ?
\nAnswer:
\nQ2<\/sub><\/p>\n

\"AP<\/p>\n

Question 63.
\nFind the centroid of the triangle whose vertices are (2, – 3), (4, 6), (- 2, 8).
\nAnswer:
\n(\\(\\frac{4}{3}, \\frac{11}{3}\\))<\/p>\n

Question 64.
\nGuess shape of the closed figure formed by the points (- 2, 0), (2, 0), (2, 2), (0, 4) and (-2,-2).
\nAnswer:
\nPentagon<\/p>\n

Question 65.
\nFind the midpoint of the line joining of (2, 3) and (- 2, 3).
\nAnswer:
\n(0, 0)<\/p>\n

Question 66.
\nIf the centroid of the triangle formed with (a, b); (b, c) and (c, a) is O (0, 0), then the value of a3<\/sup> + b3<\/sup> + c3<\/sup>.
\nAnswer:
\n3 abc<\/p>\n

Question 67.
\nIf the points (a, 2a), (3a, 3a) and (3,1) are collinear, then find k.
\nAnswer:
\nk = \\(\\frac { -1 }{ 3 }\\)<\/p>\n

Question 68.
\nWrite the coordinates of the midpoint joining P(x1<\/sub>, y1<\/sub>) and Q(x2<\/sub>, y2<\/sub>).
\nAnswer:
\n\\(\\left(\\frac{\\mathrm{x}_{1}+\\mathrm{x}_{2}}{2}, \\frac{\\mathrm{y}_{1}+\\mathrm{y}_{2}}{2}\\right)\\)<\/p>\n

Question 69.
\nFind the slope of line joining of (5, -1), (0, 8).
\nAnswer:
\n\\(-\\frac{9}{5}\\) =m<\/p>\n

Question 70.
\nIf the distance between the points (3, k) and (4, 1) is \\(\\sqrt{10}\\), then find the value of k.
\nAnswer:
\n4 (or)-2.<\/p>\n

Question 71.
\nIf (- 2, – 1), (a, 0), (4, b) and (1,2) are the vertices of a parallelogram, then find a\u2019.
\nAnswer:
\na = 1<\/p>\n

Question 72.
\nWrite the slope of X – axis.
\nAnswer:
\n0<\/p>\n

Question 73.
\nP(2, 2), Q(- 4, 4) and R(5, – 8) are the vertices of a \u0394PQR, then find length of median from ‘R’.
\nAnswer:
\n\\(\\sqrt{157}\\) units.<\/p>\n

Question 74.
\nFind the value of ‘k’ if the distance be-tween (2, 8) and (2, k) is 3.
\nAnswer:
\nk = 5.<\/p>\n

Question 75.
\nFind the distance of a point (\u03b1, \u03b2) from the origin.
\nAnswer:
\n\\(\\sqrt{\\alpha^{2}+\\beta^{2}}\\)<\/p>\n

Question 76.
\nIf the points (1, 2), (-1, x) and (2, 3) are collinear, then find the value of x.
\nAnswer:
\nx = 0.<\/p>\n

Question 77.
\nIf (- 2,8) and (6, – 4) are the end points of the diameter of a circle, then find the centre of the circle.
\nAnswer:
\n(2, 2) = centre.<\/p>\n

Question 78.
\nA(0, -1), B(2, 1) and C(0, 3) are the vertices of AABC, then find median
\nthrough ‘B’ has a length . units.
\nAnswer:
\n2<\/p>\n

Question 79.
\nTwo vertices of a triangle are (3, 5) and (- 4, – 5). If the centroid of the triangle is (4, 3), find the third vertex.
\nAnswer:
\n(13, 9).<\/p>\n

Question 80.
\nIf A, B, C are collinear, then find the area of AABC.
\nAnswer:
\n\u0394 = 0<\/p>\n

\"AP<\/p>\n

Question 81.
\nA circle drawn with origin as centre 13
\npasses through (\\(\\frac { 13 }{ 2 }\\),0). Find the point which doesn’t lie in the interior of the circle.
\nAnswer:
\n(-6,3)<\/p>\n

Question 82.
\nFind area of triangle formed by (-4, 0), (0, 0) and (0, 5) is ……………… sq. units.
\nAnswer:
\n10 sq.units.<\/p>\n

Question 83.
\nFind the ratio in which the point (4, 8) divide the line segment joining the points (8, 6) and (0, 10).
\nAnswer:
\n1:1<\/p>\n

Question 84.
\nWrite a formula to the coordinates of the point which divides the line join\u00acing (x1<\/sub>, y1<\/sub>) and (x2<\/sub>, y2<\/sub>) in the ratio m: n internally.
\nAnswer:
\nP = \\(\\left(\\frac{m x_{2}+n x_{1}}{m+n}, \\frac{m y_{2}+n y_{1}}{m+n}\\right)\\)<\/p>\n

Question 82.
\nIf A(4, 0), B(8, 0), then find \\(\\overline{\\mathbf{A B}}\\).
\nAnswer:
\n4 units.<\/p>\n

Question 83.
\nFind the slope of the line \\(\\frac{\\mathbf{x}}{\\mathbf{a}}+\\frac{\\mathbf{y}}{\\mathbf{b}}\\) = 1.
\nAnswer:
\nm = \\(\\frac{-\\mathrm{b}}{\\mathrm{a}}\\)<\/p>\n

Question 87.
\nFind .the radius of the circle whose centre is (3, 2) and passes through (- 5, 6) is……………..units.
\nAnswer:
\n4\\(\\sqrt{5}\\) units.<\/p>\n

Question 88.
\nIn Heron’s formula ‘s’ represents.
\nAnswer:
\ns = \\(\\frac{a+b+c}{2}\\) = Semi perimeter<\/p>\n

Question 89.
\nSlope of the line joining the points (2, 5) and (k, 3) is 2, then find k.
\nAnswer:
\nk = 1.<\/p>\n

Question 90.
\nIf A(4, 5), B(7, 6), then find \\(\\overline{\\mathbf{A B}}\\).
\nAnswer:
\n\\(\\sqrt{10}=\\overline{\\mathrm{AB}}\\)<\/p>\n

Question 91.
\nWrite the distance of (x, y) from Y-axis.
\nAnswer:
\n\u2018x\u2019units.<\/p>\n

Question 92.
\nA(2, 0), B(l, 2), C(l, 6), then find \u2206ABC.
\nAnswer:
\n\u2206 = 0, so the points are collinear.<\/p>\n

Question 93.
\nFind the mid point of the line joining the points (1,1) and (0, 0).
\nAnswer:
\n( \\(\\frac{1}{2}, \\frac{1}{2}\\) )<\/p>\n

Question 94.
\nHow much the slope of vertical line ?
\nAnswer:
\nNot defined.<\/p>\n

Question 95.
\nA(1, – 1), B(0, 6) and C(- 3, 0), then find G (centroid).
\nAnswer:
\nG = (\\(\\frac{-2}{3}, \\frac{5}{3}\\))<\/p>\n

Question 96.
\nA(a, b) and B(- a, – b), then find \\(\\overline{\\mathbf{B A}}\\).
\nAnswer:
\n\\(\\overline{\\mathrm{BA}}=2 \\sqrt{\\mathrm{a}^{2}+\\mathrm{b}^{2}}\\)<\/p>\n

Question 97.
\nFind the centroid of the triangle formed with the line x + y = 6 with the coordinate axes.
\nAnswer:
\nG .= (2, 2)<\/p>\n

\"AP<\/p>\n

Question 98.
\nFind the area of triangle formed with (- 5,-1), (3,-5) and (5, 2).
\nAnswer:
\n32 sq. units.<\/p>\n

Question 99.
\nHow much the slope of horizontal line?
\nAnswer:
\n0 = m<\/p>\n

Question 100.
\nFind the angle between the lines x = 2 and y = 3.
\nAnswer:
\n\u03b8 = 90\u00b0.<\/p>\n

Question 101.
\nWrite the slope of the line y = mx.
\nAnswer:
\n‘m’<\/p>\n

Question 102.
\nThe midpoint of the line joining the points (1, 2) and (1, p) is (1, – 1), then find p.
\nAnswer:
\np = – 4.<\/p>\n

Question 103.
\nName the point of concurrence of me-dians of a triangle is called
\nAnswer:
\nCentroid<\/p>\n

Question 104.
\nIf AC = AB + BC, then the points A, B, C are called points.
\nAnswer:
\nCollinear<\/p>\n

Question 105.
\nax + by + c = 0, represents a
\nAnswer:
\nStraight line<\/p>\n

Question 106.
\nIf the points (k, k), (2, 3) and (4, – 1) are collinear, then find k.
\nAnswer:
\n\\(\\frac{7}{3}\\) = k<\/p>\n

Question 107.
\nWrite other name for x-coordinate of a points.
\nAnswer:
\nAbscissa<\/p>\n

Question 108.
\nFind the slope of the line joining the points A(-1.4, – 3.7) and B(-2.4, 1.3).
\nAnswer:
\nm = – 5<\/p>\n

Question 109.
\nIf a < 0, then (- a, – a) belongs to which quadrant ?
\nAnswer:
\nQ1<\/sub><\/p>\n

\"AP<\/p>\n

Question 110.
\nIf \u03b8 is the angle made by a line with X – axis, then find slope’m’.
\nAnswer:
\nm = tan \u03b8<\/p>\n

Question 111.
\nFind the area of square formed with the vertices (0, – 1), (2, 1), (0, 3) and (-2, 1) taken in order as vertices.
\nAnswer:
\n\u2206 = 8 sq. units.<\/p>\n

Question 112.
\nName the person who was introduced coordinate geometry.
\nAnswer:
\nRene Descartes<\/p>\n

Question 113.
\nFind the coordinates of centroid of the triangle formed with the vertices (-1,3), (6, -3) and (-3, 6).<\/p>\n

Question 114.
\nIn quadrilateral ABCD, AB = BC = CD = AD and \\(\\overline{\\mathbf{A C}} \\neq \\overline{\\mathbf{B D}}\\), then it is Answer:……………..type of quadrilateral.
\nAnswer:
\nRhombus<\/p>\n

Question 115.
\nWrite the slope of the line joining the points (2a, 3b) and (a, – b).
\nAnswer:
\nm = \\(\\frac{4 \\mathrm{~b}}{\\mathrm{a}}\\)<\/p>\n

Question 116.
\nWrite a formula to distance of (x, y) from origin.
\nAnswer:
\n\\(\\sqrt{x^{2}+y^{2}}\\)<\/p>\n

Question 117.
\nIn rhombus all sides are……………….
\nAnswer:
\nEqual in length.<\/p>\n

Question 118.
\nIf the slope of a line passing through (- 2, 3) and (4, a) is \\(\\frac { -5 }{ 3 }\\), then find Answer:
\nAnswer:
\na = – 7.<\/p>\n

119.
\nA(2a, 4a), B(2a, 6a), C(2a+ \\(\\sqrt{3}\\), 5), then write \u0394ABC is a type of tri\u00ac
\nangle.
\nAnswer:
\nEquilateral triangle.<\/p>\n

Question 120.
\nHow much each angle in equilateral triangle ?
\nAnswer:
\n60\u00b0 = each angle.<\/p>\n

Question 121.
\nIn the below figure, G is the centroid then AG : GD = ………………
\n\"AP
\nAnswer:
\n2:1<\/p>\n

Question 122.
\nIn the below figure AD : GD =
\n\"AP
\nAnswer:
\n3 : 1<\/p>\n

Question 123.
\nWrite the midpoint of a line segment divides it in the ratio.
\nim
\nAnswer:
\n1 : 1<\/p>\n

Question 124.
\nIf the distance between the points (x1<\/sub>, y1<\/sub>) and (x2<\/sub>, y2<\/sub>) is |x1<\/sub> – x2<\/sub>|, then they are parallel to ……………..
\nAnswer:
\nx-axis.<\/p>\n

Question 125.
\nFind slope of the line joining the points A(0,0), B(1\/2,1\/2)
\nAnswer:
\n1 = m<\/p>\n

Question 126.
\nWrite the equation of X – axis.
\nAnswer:
\nY = 0<\/p>\n

\"AP<\/p>\n

Question 127.
\nWrite the point of concurrence of alti-tudes of a triangle is called ……………..
\nAnswer:
\nOrthocentre<\/p>\n

Question 128.
\nP(cos \u03b8, – cos \u03b8), Q (sin \u03b8, sin \u03b8), then find \\(\\overline{\\mathbf{P Q}}\\).
\nAnswer:
\n\\(\\sqrt{2}\\) units.<\/p>\n

Question 129.
\nDiagonals in a parallelogram …………….. to each other.
\nAnswer:
\nBisect<\/p>\n

Question 130.
\nFind slope of the line 3x – 2 = 0.
\nAnswer:
\nNot defined = (\\(\\frac{0}{3}\\))<\/p>\n

Question 131.
\nIf A(p, q), B(m, n) and C(p – m, q – n) are collinear, then find pn.
\nAnswer:
\nqm<\/p>\n

Question 132.
\nWrite Y-axis can be represented as.
\nAnswer:
\nX = 0<\/p>\n

Question 133.
\nWrite number of medians of a triangle.
\nAnswer:
\n3<\/p>\n

Question 134.
\nA(cot \u03b8, 1), B(0, 0), then find \\(\\overline{\\mathbf{B A}}\\).
\nAnswer:
\ncosec \u03b8<\/p>\n

Question 135.
\nIf the point (4 – p) lie on X – axis, then find the value of p2<\/sup> + 2p – 1.
\nAnswer:
\n– 1<\/p>\n

Question 136.
\nA(t, 2t), B(- 2, 6), C(3, 1) and \u0394ABC = 5 sq.units, then find ‘t’.
\nAnswer:
\nt = 2<\/p>\n

Question 137.
\ny-intercept of the line x – 2y + 1 = 0 is …………..
\nAnswer:
\nb = \\(\\frac { 1 }{ 2 }\\)<\/p>\n

Question 138.
\nIn the below figure find ‘x’.
\n\"AP
\nAnswer:
\n-9 = x<\/p>\n

Question 139.
\nIn the below figure find ‘y’.
\n\"AP
\nAnswer:
\n3 = y<\/p>\n

Question 140.
\nWhere the X and Y axes will inter\u00acsects ?
\nAnswer:
\n(0, 0)<\/p>\n

Question 141.
\nIf the point (a, 5) lies on Y – axis find the value of ‘a’.
\nAnswer:
\na = 0.<\/p>\n

Question 142.
\nWrite (3, 0), (8, 0), (1\/2, 0) points lie on ………….
\nAnswer:
\nX – axis.<\/p>\n

Question 143.
\nNature of the line that does not pass through origin and having a zero slope is
\nAnswer:
\nParallel to X – axis.<\/p>\n

\"AP<\/p>\n

Question 144.
\nY-intercept of the line y = mx + c is ….
\nAnswer:
\n‘c’<\/p>\n

Question 145.
\nIn \u0394ABC, all the side are different, then it is called type of triangle.
\nAnswer:
\nScalene<\/p>\n

Question 146.
\nA = (\\(\\frac{1}{2}, \\frac{3}{2}\\)) , B = (\\(\\frac{3}{2}, \\frac{-1}{2}\\)) then find \\(\\overline{\\mathbf{B A}}\\)
\nAnswer:
\n\\(\\sqrt{5}\\)<\/p>\n

Question 147.
\nFind the area of below parallelogram, if \u0394ABC = 5 sq. units.
\n\"AP
\nAnswer:
\n10 sq. units<\/p>\n

Question 148.
\nFind x-intercept of the line x – y +1 =0.
\nAnswer:
\n– 1<\/p>\n

Question 149.
\nIn \u0394PQR, PQ = QR, then it is called ……………… triangle.
\nAnswer:
\nIsosceles<\/p>\n

Question 150.
\nIf (1, x) is at \\(\\sqrt{10}\\) units from origin, then find the value of ‘x’.
\nAnswer:
\nx = \u00b1 3<\/p>\n

Question 151.
\nA(1, – 1), B(2 1\/2, 0), C(4, 1), then find area of \u0394ABC.
\nAnswer:
\n\u0394 = 0.<\/p>\n

Question 152.
\nName the line joining the mid point of one side of a triangle from opposite vertex is called …………….
\nAnswer:
\nMedian<\/p>\n

Question 153.
\nFind angle made by the line y = x with the positive direction of X – axis.
\nAnswer:
\n45\u00b0.<\/p>\n

Choose the correct answer satistying the following statements.<\/p>\n

Question 154.
\nStatement (A): The point (0, 4) lies on Y – axis.
\nStatement (B) : The X co-ordinate of the point on Y – axis zero.
\ni) Both A and B are true.
\nii) A is true, B is false.
\niii) A is false, B is true.
\niv) Both A and B are false.
\nAnswer:
\n(i)<\/p>\n

Question 155.
\nStatement (A): The value of y is 6, for which the distance between the points P(2, – 3) and Q(10, y) is 10.
\nStatement (B): Distance between two given points A(x1<\/sub>, y1<\/sub>) and B(x2<\/sub>, y2<\/sub>) is given by
\nAB = \\(\\sqrt{\\left(x_{2}+x_{1}\\right)^{2}+\\left(y_{2}-y_{1}\\right)^{2}}\\)
\ni) Both A and B are true.
\nii) A is true, B is false.
\niii) A is false, B is true.
\niv) Both A and B are false.
\nAnswer:
\n(iii)<\/p>\n

Question 156.
\nStatement (A) : The point (- 1, 6) di\u00acvides the line segment joining the points (- 3, 10) and (6, – 8) in the ratio 2 : 7 internally.
\nStatement (B): Three points A, B and C are collinear if area of AABC = 0.
\ni) Both A and B are true.
\nii) A is true, B is false.
\niii) A is false, B is true.
\niv) Both A and B are false.
\nAnswer:
\n(i)<\/p>\n

Question 157.
\nStatement (A) : Centroid of a triangle formed by the points (a, b), (b, c) and (c, a) is at origin, then a + b + c = 0.
\nStatement (B) : Centroid of a AABC with vertices A(x1<\/sub>, y1<\/sub>), B(x2<\/sub>, y2<\/sub>) and C(x3<\/sub>, y3<\/sub>) is given by
\n\\(\\left(\\frac{x_{1}+x_{2}+x_{3}}{3}, \\frac{y_{1}+y_{2}+y_{3}}{3}\\right)\\)
\ni) Both A and B are true.
\nii) A is true, B is false.
\niii) A is false, B is true.
\niv) Both A and B are false.
\nAnswer:
\n(i)<\/p>\n

\"AP<\/p>\n

Question 158.
\nStatement (A): The area of the triangle with vertices (- 5,-1), (3, – 5), (5, 2) is 32 square units.
\nStatement (B): The point (x, y) divides the line segment joining the points A(xj, y2) and B(x2, y2) in the ratio k : 1 externally, then
\n\\(x=\\frac{k x_{2}+x_{1}}{k+1}, y=\\frac{k y_{2}+y_{1}}{k+1}\\)
\ni) Both A and B are true.
\nii) A is true, B is false.
\niii) A is false, B is true.
\niv) Both A and B are false.
\nAnswer:
\n(ii)<\/p>\n

Question 159.
\nStatement (A): The ratio in which the segment joining the points (-3, 10) and (6, – 8) is divided by (- 1, 6) is 2 : 7.
\nStatement (B) : If A(x1<\/sub>, y1<\/sub>), B(x2<\/sub>, y2<\/sub>) are two points. Then the point C(x, y) such that C divides AB internally in the ratio k : 1 is given by
\nx = \\(\\frac{\\mathrm{kx}_{2}+\\mathrm{x}_{1}}{\\mathrm{k}+1}, \\mathrm{y}=\\frac{\\mathrm{ky}_{2}+\\mathrm{y}_{1}}{\\mathrm{k}+1}\\)
\ni) Both A and B are true.
\nii) A is true, B is false.
\niii) A is false, B is true.
\niv) Both A and B are false.
\nAnswer:
\n(i)<\/p>\n

Question 160.
\nStatement (A) : If three vertices of a parallelogram taken in order are (- 1, – 6), (2, – 5) and (7, 2), then its fourth vertex is (4, 1).
\nStatement (B) : Diagonals of a paral-lelogram bisect each other.
\ni) Both A and B are true.
\nii) A is true, B is false.
\niii) A is false, B is true.
\niv) Both A and B are false.
\nAnswer:
\n(i)<\/p>\n

Question 161.
\nStatement (A) : The points (k -I- 1, 1), (2k + 1, 3) and (2k + 2, 2k) are col- linear, then k = 4.
\nStatement (B) : Three points A(x1<\/sub>, y1<\/sub>), B(x2<\/sub>, y2<\/sub>) and C(x3<\/sub>, y3<\/sub>) are collinear if and only if
\nx1<\/sub>(y2<\/sub> – y3<\/sub>) + x2<\/sub>(y3<\/sub>-y1<\/sub>) + x3<\/sub>(y1<\/sub>-y2<\/sub>) = 0
\ni) Both A and B are true.
\nii) A is true, B is false.
\niii) A is false, B is true.
\niv) Both A and B are false.
\nAnswer:
\n(iii)<\/p>\n

Question 162.
\nStatement (A) : Let the vertices of a \u0394ABC are A(- 5, – 2), B(7, 6) and C(5, – 4), then coordinate of circum- centre is (1, 2).
\nStatement (B) : In a right angle tri\u00acangle, mid-point of hypotenuse is the circumcentre of the triangle.
\ni) Both A and B are true.
\nii) A is true, B is false.
\niii) A is false, B is true.
\niv) Both A and B are false.
\nAnswer:
\n(i)<\/p>\n

Question 163.
\nStatement (A): If A(2a, 4a) and B(2a, 6a) are two vertices of a equilat\u00aceral triangle ABC, then the vertex C is given by (2a + a\\(\\sqrt{3}\\) , 5a).
\nStatement (B): In equilaterahtriangle all the coordinates of three vertices can be rational.
\ni) Both A and B are true.
\nii) A is true, B is false.
\niii) A is false, B is true.
\niv) Both A and B are false.
\nAnswer:
\n(ii)<\/p>\n

Question 164.
\nStatement (A) : The equation of the straight line which passes through the point (2,-3) and the point of the inter-section of the lines x + y + 4 = 0 and 3x – y – 8 = 0 is 2x – y – 7 = 0.
\nStatement (B) : Product of slopes of two perpendicular straight lines is – 1.
\ni) Both A and B are true.
\nii) A is true, B is false.
\niii) A is false, B is true.
\niv) Both A and B are false.
\nAnswer:
\n(i)<\/p>\n

Read Che below passages and answer to the following questions.<\/p>\n

Let there be two points (4, 1) and (5,-2) in a two dimensional coordi\u00acnate system. A line which passes through the above give points and intersects the coordinate axes forms a triangle.<\/p>\n

Question 165.
\nWrite the equation of the line passing through the above given points.
\nAnswer:
\n3x + y – 13 = 0.<\/p>\n

Question 166.
\nFind the point of intersection of the above line with both the coordinate axes.
\nAnswer:
\n(\\(\\frac { 13 }{ 3 }\\),0) and (0, 13).<\/p>\n

Question 167.
\nFind the area of the triangle so formed.
\nAnswer:
\n\\(\\frac { 169 }{ 6 }\\) sq. units.<\/p>\n

In the diagram on a Lunar eclipse, if the position of Sun, Earth and Moon are shown by (- 4, 6) (k, – 2) and (5, – 6) respectively.<\/p>\n

Question 168.
\nIn Lunar eclipse what is the positions of Sun, Earth and Moon ?
\nAnswer:
\nAll are in same line, i.e., collinear.<\/p>\n

Question 169.
\nTo solve the above problem which mathematical concept is used ?
\nAnswer:
\nCo-ordinate Geometry.<\/p>\n

\"AP<\/p>\n

Question 170.
\nWhich formula is used to find the value of k ?
\n\u0394 = \\(\\frac { 1 }{ 2 }\\) |x1<\/sub>(y2<\/sub> – y3<\/sub>) + x2<\/sub>(y3<\/sub>-y1<\/sub>) + x3<\/sub>(y1<\/sub> – y2<\/sub>) | = 0<\/p>\n

Manowbhiram calculated the dis\u00actance between T(5, 2) and R(-4, -1) to the nearest length is 9.5 units.<\/p>\n

Question 171.
\nDo you agree with Manowbhiram ?
\nAnswer:
\nYes, I agree with him.<\/p>\n

Question 172.
\nWhich mathematical concept is used to you support Manowbhiram ?
\nAnswer:
\nCo-ordinate Geometry (or) (Distance formula).<\/p>\n

Question 173.
\nColumn – II gives distance between pair of points given in column -I, match them correctly.
\n\"AP
\nAnswer:
\nA – (iv), B – (i)<\/p>\n

Question 174.
\nColumn – II gives distance between pair of points given in column -I, match them correctly.
\n\"AP
\nAnswer:
\nA – (ii), B – (iii)<\/p>\n

Question 175.
\nColumn – II gives the coordinates of the point \u2019p\u2019 that divides the line segment join\u00acing the points given in column -I, match them correctly.
\n\"AP
\nAnswer:
\nA – (iv), B – (ii)<\/p>\n

Question 176.
\nColumn – II gives the coordinates of the point ‘p’ that divides the line segment join\u00acing the points given in column -I, match them correctly.
\n\"AP
\nAnswer:
\nA – (iii), B – (i).<\/p>\n

Question 177.
\nColumn – II gives the area of triangles whose vertices are given in column -1, match them correctly.
\n\"AP
\nAnswer:
\nA – (iv), B – (iii).<\/p>\n

Question 178.
\nColumn – II gives the area of triangles whose vertices are given in column -1, match them correctly.
\n\"AP
\nAnswer:
\nA – (ii), B – (i).<\/p>\n

Question 179.
\n\"AP
\nAnswer:
\nA – (iv), B – (iii).<\/p>\n

Question 180.
\n\"AP
\nAnswer:
\nA – (iii), B – (i).<\/p>\n

\"AP<\/p>\n

Question 181.
\nName the quadrilateral, which satis\u00acfies both the conditions given below.
\nStatement (A) : Diagonals are equal
\nStatement (B) : All sides are equal
\na) Rhombus
\nb) Parallelogram
\nc) Rectangle
\nd) Square
\nAnswer:
\n(d)<\/p>\n

Question 182.
\nFind the area of the shaded triangle, in the figure given below.
\n\"AP
\nAnswer:
\n6 sq. units<\/p>\n

Question 183.
\nWhat is the slope of the line joining the points (2, 0) and (- 2, 0).
\nSolution:
\n\"AP<\/p>\n

Question 184.
\nName the point which is the point of intersection of medians of a triangle.
\nAnswer:
\nCentroid of a triangle.<\/p>\n","protected":false},"excerpt":{"rendered":"

Practice the AP 10th Class Maths Bits with Answers Chapter 7 Coordinate Geometry on a regular basis so that you can attempt exams with utmost confidence. AP SSC 10th Class Maths Bits 7th Lesson Coordinate Geometry with Answers Question 1. Write the nearest point to origin, i) (2, – 3) ii) (5, 0) iii) (0, … Read more<\/a><\/p>\n","protected":false},"author":5,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"spay_email":""},"categories":[2],"tags":[],"jetpack_featured_media_url":"","_links":{"self":[{"href":"https:\/\/apboardsolutions.in\/wp-json\/wp\/v2\/posts\/13882"}],"collection":[{"href":"https:\/\/apboardsolutions.in\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/apboardsolutions.in\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/apboardsolutions.in\/wp-json\/wp\/v2\/users\/5"}],"replies":[{"embeddable":true,"href":"https:\/\/apboardsolutions.in\/wp-json\/wp\/v2\/comments?post=13882"}],"version-history":[{"count":1,"href":"https:\/\/apboardsolutions.in\/wp-json\/wp\/v2\/posts\/13882\/revisions"}],"predecessor-version":[{"id":41359,"href":"https:\/\/apboardsolutions.in\/wp-json\/wp\/v2\/posts\/13882\/revisions\/41359"}],"wp:attachment":[{"href":"https:\/\/apboardsolutions.in\/wp-json\/wp\/v2\/media?parent=13882"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/apboardsolutions.in\/wp-json\/wp\/v2\/categories?post=13882"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/apboardsolutions.in\/wp-json\/wp\/v2\/tags?post=13882"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}