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 17 of 22

1. Q321 CBSE 2020
   If the point $P(k,0)$ divides the line segment ​joining the ​points $A(2,-2)$ and $B(-7,4)$ ​in the ratio $1:2$, ​then the ​value ​of $k$ is

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

   (d) $-1$

   Step-by-step solution →
2. Q322 CBSE 2020
   Distance ​of ​point $P(3,4)$ ​from $x$-axis is

   1. (a)3 units
   2. (b)4 units
   3. (c)5 units
   4. (d)1 unit
   Show answer

   (b) 4 units

   Step-by-step solution →
3. Q323 CBSE 2020
   The point which divides the line segment joining the ​points $A(2,3)$ and $B(-3,4)$ in the ratio $3:4$ ​internally ​lies ​in ​which ​quadrant?

   1. (a)I
   2. (b)II
   3. (c)III
   4. (d)IV
   Show answer

   (b) II

   Step-by-step solution →
4. Q324 CBSE 2020
   Point $P\left(\frac{a}{8},4\right)$ is the mid-point of the line ​segment ​joining ​the points $A(-5,2)$ ​and $B(4,6)$. The value ​of '$a$' is

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

   (a) $-4$

   Step-by-step solution →
5. Q325 CBSE 2020
   If the distance ​between ​the points $A(4,p)$ and $B(1,0)$ ​is $5$ units, ​then ​the ​value(s) of $p$ ​is (are)

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

   (c) $\pm 4$

   Step-by-step solution →
6. Q326 CBSE 2020
   If ​the ​point $P(6,2)$ ​divides the line segment ​joining $A(6,5)$ and $B(4,y)$ in ​the ratio $3:1$, then ​the ​value of $y$ is

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

   (d) $1$

   Step-by-step solution →
7. Q327 CBSE 2020
   If ​the ​centre of ​a ​circle is $(3,5)$ and end ​points of a diameter are $(4,7)$ and $(2,y)$, then ​the ​value of $y$ is

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

   (a) $3$

   Step-by-step solution →
8. Q328 CBSE 2020
   If $P(-1,1)$ ​is ​the midpoint ​of ​the line ​segment joining $A(-3,b)$ and $B(1,b+4)$, then $b$ ​is equal to

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

   (b) $-1$

   Step-by-step solution →
9. Q329 CBSE 2020
   The ​value ​of $p$, ​for which the ​points $A(3,1)$, $B(5,p)$ ​and $C(7,-5)$ are ​collinear, ​is

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

   (a) $-2$

   Step-by-step solution →
10. Q330 CBSE 2020
    $\sqrt{2}$ times ​the distance ​between $(0,5)$ and $(-5,0)$ ​is ​__________.
    Show answer

    The value is $10$.

    Step-by-step solution →
11. Q331 CBSE 2020
    Distance between $(a,-b)$ and $(a,b)$ ​is ​________ ​.
    Show answer

    Distance $=2|b|$ (equal to $2b$ when $b>0$).

    Step-by-step solution →
12. Q332 CBSE 2020
    If the point $C(k,4)$ ​divides ​the line segment ​joining ​two points $A(2,6)$ and $B(5,1)$ ​in ratio $2:3$, the value ​of $k$ is ____.
    Show answer

    $k=\frac{16}{5}=3.2$

    Step-by-step solution →
13. Q333 CBSE 2020
    The area ​of ​triangle formed ​with the origin and ​the ​points $(4,0)$ ​and $(0,6)$ ​is ​________.
    Show answer

    The area of the triangle is $12$ square units.

    Step-by-step solution →
14. Q334 CBSE 2020
    If points $A(-3,12)$, $B(7,6)$ and $C(x,9)$ ​are collinear, then ​the ​value ​of $x$ is ​____.
    Show answer

    $x=2$

    Step-by-step solution →
15. Q335 CBSE 2020
    The ​co-ordinate ​of the point dividing the line ​segment joining ​the ​points $A(1,3)$ and $B(4,6)$ in the ​ratio $2:1$ is ​________.
    Show answer

    The required point is $(3,5)$.

    Step-by-step solution →
16. Q336 CBSE 2020
    The ​mid-point of the ​line segment ​joining the points $(-3,-3)$ and $(-3,3)$ ​is ____.
    Show answer

    Midpoint $=(-3,0)$.

    Step-by-step solution →
17. Q337 CBSE 2020
    $AOBC$ ​is ​a rectangle ​whose ​three vertices are $A(0,-3)$, $O(0,0)$ and $B(4,0)$. The length of its ​diagonal ​is ​____________ .
    Show answer

    The length of the diagonal is $5$ units.

    Step-by-step solution →
18. Q338 CBSE 2020
    The ​distance between the points $(a,b)$ ​and $(-a,-b)$ is __________ ​.
    Show answer

    The distance is $2\sqrt{a^2+b^2}$.

    Step-by-step solution →
19. Q339 CBSE 2020
    If ​the point P divides the line ​segment ​joining the ​points $(3,2)$ and $(6,4)$ internally ​in ​the ratio of $2:1$, then the coordinates of P are ____ .
    Show answer

    $P=\left(5,\frac{10}{3}\right)$

    Step-by-step solution →
20. Q340 CBSE 2020
    Find the coordinates of the ​point on x-axis ​which ​divides ​the line segment ​joining the points $(2,3)$ and $(5,-6)$ ​in the ratio $1:2$.
    Show answer

    The required point is $(3,0)$.

    Step-by-step solution →