01 · CBSE BOARD EXAM 2024
CBSE 2024 Board Practice Questions
CBSE 2024 · 1 MARK
Q1. Find the distance of point P(-6, 8) from the origin.
CBSE 2024 · 1 MARK
Q2. The point on X-axis which is equidistant from points A(-1, 0) and B(5, 0) is:
(A) (2, 0) (B) (0, 2) (C) (3, 0) (D) (2, 2)
CBSE 2024 · 2 MARKS
Q3. Find the ratio in which the line segment joining A(1, -5) and B(-4, 5) is divided by the X-axis. Also find the coordinates of the point of division.
CBSE 2024 · 3 MARKS
Q4. Find a relation between x and y such that the point (x, y) is equidistant from the points (7, 1) and (3, 5).
CBSE 2024 · 5 MARKS
Q5. If A(-2, 1), B(a, 0), C(4, b) and D(1, 2) are the vertices of a parallelogram ABCD, find the values of a and b. Hence find the lengths of its sides.
02 · CBSE BOARD EXAM 2023
CBSE 2023 Board Practice Questions
CBSE 2023 · 1 MARK
Q6. The distance between the points (a cos θ + b sin θ, 0) and (0, a sin θ - b cos θ) is:
(A) a² + b² (B) a² - b² (C) √(a² + b²) (D) √(a² - b²)
CBSE 2023 · 2 MARKS
Q7. Find the mid-point of the line segment joining the points A(3, 0) and B(-1, 4).
CBSE 2023 · 3 MARKS
Q8. Find the coordinates of the points of trisection of the line segment joining (4, -1) and (-2, -3).
CBSE 2023 · 5 MARKS
Q9. Name the type of quadrilateral formed, if any, by the points A(-1, -2), B(1, 0), C(-1, 2), D(-3, 0), and give reasons for your answer.
03 · CBSE BOARD EXAM 2022
CBSE 2022 Board Practice Questions
CBSE 2022 · 1 MARK
Q10. The ordinate of a point is its distance from the:
(A) X-axis (B) Y-axis (C) Origin (D) None of these
CBSE 2022 · 2 MARKS
Q11. If (1, 2), (4, y), (x, 6) and (3, 5) are the vertices of a parallelogram taken in order, find x and y.
CBSE 2022 · 3 MARKS
Q12. Find the ratio in which the Y-axis divides the line segment joining the points (5, -6) and (-1, -4). Also find the point of intersection.
04 · CBSE BOARD EXAM 2021
CBSE 2021 Board Practice Questions
CBSE 2021 · 1 MARK
Q13. Find the distance between the points A(2, 3) and B(4, 1).
CBSE 2021 · 2 MARKS
Q14. Check whether (5, -2), (6, 4) and (7, -2) are the vertices of an isosceles triangle.
CBSE 2021 · 3 MARKS
Q15. If P(9a - 2, -b) divides the line segment joining A(3a + 1, -3) and B(8a, 5) in the ratio 3:1, find the values of a and b.
05 · CBSE BOARD EXAM 2020
CBSE 2020 Board Practice Questions
CBSE 2020 · 1 MARK
Q16. Find the perimeter of a triangle with vertices (0, 4), (0, 0) and (3, 0).
CBSE 2020 · 2 MARKS
Q17. Determine if the points (1, 5), (2, 3) and (-2, -11) are collinear.
CBSE 2020 · 3 MARKS
Q18. Find the coordinates of a point A, where AB is the diameter of a circle whose centre is (2, -3) and B is (1, 4).
06 · SELF-PRACTICE TIPS
Tips for Solving Board PYQs
01
For ratio division problems on X-axis, set y = 0; on Y-axis, set x = 0.
02
For parallelogram questions, equate mid-points of opposite diagonals: Mid-point of AC = Mid-point of BD.
03
For trisection of AB, evaluate points dividing in ratio 1 : 2 and 2 : 1.