Class 10 Maths · Chapter 7

Coordinate Geometry

440 Class 10 Maths questions on Coordinate Geometry from the NCERT textbook, NCERT Exemplar and CBSE board papers 2015–2026, each with its answer and a step-by-step solution.

CBSE Class 10 Maths previous year papers, with answers →

Questions · page 7 of 22

1. Q121 CBSE 2025
   If the point $\left(3,\frac{3}{4}\right)$ is the mid-point of ​the line ​segment ​joining ​the ​points $(k,0)$ ​and $\left(7,\frac{3}{2}\right)$, then the value of 'k' is :

   1. (a)$-1$
   2. (b)$1$
   3. (c)$\frac{3}{2}$
   4. (d)$5$
   Show answer

   (a) $-1$

   Step-by-step solution →
2. Q122 CBSE 2025
   The distance ​between the ​points $(-6,9)$ ​and $(2,7)$ ​is ​:

   1. (a)$2\sqrt{17}$
   2. (b)$4\sqrt{17}$
   3. (c)$2\sqrt{5}$
   4. (d)$2\sqrt{15}$
   Show answer

   (a) $2\sqrt{17}$

   Step-by-step solution →
3. Q123 CBSE 2025
   The mid-point ​of ​the ​line segment joining the ​points $P(-4,5)$ ​and $Q(4,6)$ lies on ​:

   1. (a)x-axis
   2. (b)y-axis
   3. (c)origin
   4. (d)neither x-axis nor y-axis
   Show answer

   (b) y-axis

   Step-by-step solution →
4. Q124 CBSE 2025
   The ​distance between ​the points $(2,3)$ and $(-2,-3)$ ​is

   1. (a)$4\sqrt{13}$
   2. (b)$\sqrt{40}$
   3. (c)$2\sqrt{13}$
   4. (d)$5$
   Show answer

   (c) $2\sqrt{13}$

   Step-by-step solution →
5. Q125 CBSE 2025
   The distance ​of a ​point ​A ​from $x$-axis is $3$ units. Which of the following cannot be ​coordinates ​of ​the point A?

   1. (a)$(1,3)$
   2. (b)$(-3,-3)$
   3. (c)$(-3,3)$
   4. (d)$(3,1)$
   Show answer

   (d) $(3,1)$

   Step-by-step solution →
6. Q126 CBSE 2025
   The coordinates of ​the end points of a diameter of ​a ​circle ​are $(5,-2)$ ​and $(5,2)$. The length of ​the radius ​of the circle is :

   1. (a)$\pm 2$
   2. (b)$\pm 4$
   3. (c)$4$
   4. (d)$2$
   Show answer

   (d) $2$

   Step-by-step solution →
7. Q127 CBSE 2025
   The distance of ​the ​point $A(-3,-4)$ ​from $x$-axis is

   1. (a)$3$
   2. (b)$4$
   3. (c)$5$
   4. (d)$7$
   Show answer

   (b) $4$

   Step-by-step solution →
8. Q128 CBSE 2025
   For ​a point $(3,-5)$, ​the value ​of ​(abscissa $-$ ​ordinate) ​is ​:

   1. (a)$-8$
   2. (b)$-2$
   3. (c)2
   4. (d)8
   Show answer

   (d) 8

   Step-by-step solution →
9. Q129 CBSE 2025
   The distance ​of the ​point $(2,3)$ ​from ​the ​origin is ​:

   1. (a)2
   2. (b)3
   3. (c)5
   4. (d)$\sqrt{13}$
   Show answer

   (d) $\sqrt{13}$

   Step-by-step solution →
10. Q130 CBSE 2025
    The mid-point of ​a line ​segment ​divides ​the ​line segment in the ratio ​:

    1. (a)$1:2$
    2. (b)$2:1$
    3. (c)$1:1$
    4. (d)$\frac{1}{2}:2$
    Show answer

    (c) $1:1$

    Step-by-step solution →
11. Q131 CBSE 2025
    The ​points $(-5,0)$, $(5,0)$ and $(0,4)$ ​are the vertices ​of a triangle ​which is ​a/an ​:

    1. (a)right-angled triangle
    2. (b)isosceles triangle
    3. (c)equilateral triangle
    4. (d)scalene triangle
    Show answer

    (b) isosceles triangle

    Step-by-step solution →
12. Q132 CBSE 2025
    In the ​figure ​given below, points $P$, $Q$, $R$ ​divide the line segment $AB$ ​in four equal parts. ​The point $Q$ divides $PB$ ​in the ratio

    1. (a)$1:3$
    2. (b)$2:3$
    3. (c)$1:2$
    4. (d)$1:1$
    Show answer

    (c) $1:2$

    Step-by-step solution →
13. Q133 CBSE 2025
    If point $(1,2)$ is ​the ​mid-point of ​the ​line segment ​joining ​the ​points $(3,5)$ and $(2a,b)$, then $(a,b)=$

    1. (a)$(-1,-1)$
    2. (b)$\left(-\frac{1}{2},-\frac{1}{2}\right)$
    3. (c)$\left(-\frac{1}{2},-1\right)$
    4. (d)$\left(-1,-\frac{1}{2}\right)$
    Show answer

    (c) $\left(-\frac{1}{2},-1\right)$

    Step-by-step solution →
14. Q134 CBSE 2025
    The line represented by $\frac{x}{4}+\frac{y}{6}=1$, intersects $x$-axis and $y$-axis ​respectively at $P$ and $Q$. The ​coordinates of the ​mid-point ​of ​line segment $PQ$ ​are ​:

    1. (a)$(2,3)$
    2. (b)$(3,2)$
    3. (c)$(2,0)$
    4. (d)$(0,3)$
    Show answer

    (a) $(2,3)$

    Step-by-step solution →
15. Q135 CBSE 2025
    The ​distance between ​the points $(4\cos \theta +3\sin \theta ,0)$ ​and $(0,4\sin \theta -3\cos \theta )$ ​is

    1. (a)$25$
    2. (b)$7$
    3. (c)$5$
    4. (d)$\sqrt{7}$
    Show answer

    (c) $5$

    Step-by-step solution →
16. Q136 CBSE 2025
    The distance of ​point $(-3,4)$ ​from $y$-axis is ​:

    1. (a)$-3$
    2. (b)3
    3. (c)4
    4. (d)5
    Show answer

    (b) 3

    Step-by-step solution →
17. Q137 CBSE 2025
    $ABCD$ is ​a ​rectangle ​with ​its ​vertices ​at $(2,-2),(8,4),(4,8)$ and $(-2,2)$ taken in order. The length of ​its ​diagonal is

    1. (a)$4\sqrt{2}$
    2. (b)$6\sqrt{2}$
    3. (c)$4\sqrt{26}$
    4. (d)$2\sqrt{26}$
    Show answer

    (d) $2\sqrt{26}$

    Step-by-step solution →
18. Q138 CBSE 2025
    The line ​represented ​by $2y-x=4$ ​intersects ​the ​y-axis ​at:

    1. (a)$(2,0)$
    2. (b)$(0,-4)$
    3. (c)$(0,2)$
    4. (d)$(2,2)$
    Show answer

    (c) $(0,2)$

    Step-by-step solution →
19. Q139 CBSE 2025
    Two ​of ​the ​vertices of $△PQR$ are $P(-1,5)$ and $Q(5,2)$. The ​coordinates ​of a point ​which divides $PQ$ in the ratio $2:1$ ​are ​:

    1. (a)$(3,-3)$
    2. (b)$(5,5)$
    3. (c)$(3,3)$
    4. (d)$(5,1)$
    Show answer

    (c) $(3,3)$

    Step-by-step solution →
20. Q140 CBSE 2025
    The mid-point of ​the line segment ​joining ​points $(1,3)$ ​and $(1,-3)$ ​lies ​:

    1. (a)at the origin
    2. (b)in the second quadrant
    3. (c)on $x$-axis
    4. (d)on $y$-axis
    Show answer

    (c) on $x$-axis

    Step-by-step solution →