Coordinate Geometry

Bihar Board Class 10 · Mathematics · 72 past questions

1. Q1 2026

   Distance between the points $(9, 3)$ and $(15, 11)$ is

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2. Q2 2026

   Perimeter of the triangle having vertices $(0, 7)$, $(0, 0)$ and $(24, 0)$ is

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3. Q3 2026

   Distance of the point $(11, 60)$ from the origin is

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4. Q4 2026

   If the points $(1, 2)$, $(0, 0)$ and $(a, b)$ are collinear then

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5. Q5 2026

   Area of the triangle formed having vertices ( 3, 0 ), ( 7, 0 ) and ( 8, 4 ) is

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6. Q6 2025

   The distance between the points ( 8 sin 60°, 0 ) and ( 0, 8 cos 60° ) is

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7. Q7 2025

   If O ( 0, 0 ) be the origin and co-ordinates of the point P be ( x, y ) then the distance OP is

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8. Q8 2025

   The distance of the point ( 12, 14 ) from the y-axis is

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9. Q9 2025

   The ordinate of the point ( – 6, – 8 ) is

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10. Q10 2025

    In which quadrant does the point ( 3, – 4 ) lie ?

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11. Q11 2025

    Which of the following points lies in second quadrant ?

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12. Q12 2025

    The co-ordinates of the mid-point of the line segment joining the points ( 4, – 4 ) and ( – 4, 4 ) are

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13. Q13 2025

    The mid-point of line segment $AB$ is ( 2, 4 ) and the co-ordinates of point $A$ are ( 5, 7 ), then the…

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14. Q14 2025

    The co-ordinates of the ends of a diameter of a circle are ( 10, – 6 ) and ( – 6, 10 ). Then the co-ordinates…

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15. Q15 2025

    The co-ordinates of the vertices of a triangle are ( 4, 6 ), ( 0, 4 ) and ( 5, 5 ) then the co-ordinates of…

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16. Q16 2025

    If $A$ ( 0, 1 ), $B$ ( 0, 5 ) and $C$ ( 3, 4 ) are the vertices of any $\Delta ABC$, then the area ( in…

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17. Q17 2025

    Which of the following points lies on the graph of $x=2$ ?

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18. Q18 2025

    What is the form of a point lying on $y$-axis ?

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19. Q19 2024

    If $P\left(\frac{a}{2}, 4\right)$ is the mid-point of the line segment joining the points $A(-6, 5)$ and…

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20. Q20 2024

    If three points are collinear then what is the area of the triangle made by them ?

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21. Q21 2024

    If $A(-1, 0)$, $B(5, -2)$ and $C(8, 2)$ are the vertices of a $\triangle ABC$ then co-ordinates of its…

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22. Q22 2024

    The point $(2\sqrt{7}, -3)$ lies in which quadrant ?

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23. Q23 2024

    The distance between the points $(2\cos\theta, 0)$ and $(0, 2\sin\theta)$ is

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24. Q24 2024

    The intersecting point of straight lines $x = -2$ and $y = 3$ is

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25. Q25 2024

    The distance between the points $(7, -4)$ and $(-5, 1)$ is

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26. Q26 2024

    The point on $y$-axis which is equidistant from the points $(5, -2)$ and $(-3, 2)$ is

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27. Q27 2024

    $PQRS$ is a rectangle whose vertices are $P(0, 0)$, $Q(6, 0)$, $R(6, 2)$ and $S(0, 2)$. The area of the…

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28. Q28 2024

    If $A(a,0)$, $B(0,0)$ and $C(0,b)$ are the vertices of $\triangle ABC$ then the area of $\triangle ABC$ is

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29. Q29 2023

    What is the distance of point (15, 8) from the origin?

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30. Q30 2023

    The graph of the straight line y = 2x - 3 passes through which of the following points?

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31. Q31 2023

    The point on x-axis which is equidistant from the points (-2, 0) and (6, 0) is

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32. Q32 2023

    The distance of the point (13, 15) from y-axis is

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33. Q33 2023

    The coordinates of the ends of a diameter of a circle are (-10, 6) and (6, -10). Then the coordinates of its…

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34. Q34 2023

    The length of perpendicular from point (13, 19) to x-axis is

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35. Q35 2023

    The mid-point of the line segment joining the points (-2, 8) and (-6,-4) lies in which quadrant?

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36. Q36 2023

    If P (0, 0), Q(8, 0) and R(0, 12) are vertices of any ΔPQR, then the area of ΔPQR is

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37. Q37 2023

    The coordinates of the vertices of a triangle are (0, 6), (0, 0) and (8,0). Then the perimeter of the…

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38. Q38 2023

    यदि बिन्दु R (a, b), बिन्दुओं P (0, 0) और Q(0, 2) को मिलानेवाली रेखाखण्ड पर है, तो निम्नलिखित में से कौन सही…

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39. Q39 2023

    The point of intersection of the straight lines x = 2 and y = -3 is

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40. Q40 2022

    Abscissa of all the points on the $y$-axis is

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41. Q41 2022

    The coordinates of the midpoint of the line segment joining the points $A(0,-8)$ and $B(-12,0)$ are

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42. Q42 2022

    If the co-ordinates of the vertices of $\triangle ABC$ are $A(x_1,y_1)$, $B(x_2,y_2)$ and $C(x_3,y_3)$ then…

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43. Q43 2022

    If the points $P(2,3)$, $Q(4,k)$ and $R(6,-3)$ are collinear, then $k=$

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44. Q44 2022

    If the vertices of a triangle are $(0,4)$, $(0,0)$ and $(3,0)$, then its perimeter will be

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45. Q45 2022

    The area of the triangle formed by points $P(3,0)$, $Q(7,0)$ and $R(8,4)$ is

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46. Q46 2022

    In which quadrant does the point ( 7, 10 ) lie ?

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47. Q47 2022

    The co-ordinates of any point on the x-axis are of the form

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48. Q48 2022

    The distance of the point $R(-x, y)$ from the origin is

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49. Q49 2022

    The distance between the points $P(5,7)$ and $Q(8,11)$ is

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50. Q50 2022

    The graph of the line $y = 4$ passes through which of the following points ?

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51. Q51 2022

    The coordinates of the origin are

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52. Q52 2020

    The point on $x$-axis which is equidistant from points $A(-1, 0)$ and $B(5, 0)$ is

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53. Q53 2020

    The $x$-coordinate of the point $(6, -5)$ is

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54. Q54 2020

    Distance between the points $(2, 3)$ and $(-2, 3)$ is

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55. Q55 2020

    Distance of the point $(x, y)$ from the origin is

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56. Q56 2020

    Which of the following is the co-ordinate of the origin ?

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57. Q57 2020

    The co-ordinates of the mid point of the line-segment joining the points $A(3, 4)$ and $B(-3, 8)$ is

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58. Q58 2020

    In which quadrant does the point $(-3, -5)$ lie?

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59. Q59 2019

    Distance between the points (-5, 7) and (-1, 3) is -

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60. Q60 2019

    Distance of the point P(-6, 8) from the origin is -

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61. Q61 2019

    The coordinates of the midpoint of the line segment joining the points P(-4, 2) and Q(8, 6) are -

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62. Q62 2019

    In which quadrant does the point $(2\sqrt{3}, -\sqrt{2})$ lie?

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63. Q63 2019

    The coordinates of the mid-point of the line segment joining the points A(2, -4) and B(4, -2) is -

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64. Q64 2018

    The lines x = -1 and y = -4 are -

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65. Q65 2018

    The perimeter of a triangle with vertices (0, 4), (0, 0) and (3, 0) is -

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66. Q66 2018

    The slope of the line joining the points (2, K-3) and (4, -7) is 3. The value of K will be

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67. Q67 2018

    The lines x = -2 and y = 3 intersects at points-

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68. Q68 2018

    The area of the triangle formed by line 5x -3y +10 = 0 with co-ordinate axis will be-

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69. Q69 2018

    To determine a straight line, atleast K points are required. Then K is equal to-

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70. Q70 2017

    Distance from the origin of the point (4, -5) will be-

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71. Q71 2016

    Distance between the points $(2, 3)$ and $(-2, 3)$ will be

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72. Q72 2015

    The midpoint of the line segment joining the points $p(-2, 8)$ and $q(-6, -4)$ is

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