PYQ Vault

Day 219: CBSE Class 10 Maths

5 questions. Try each one first, then open its answer.

  1. Question 1

    Pair of Linear Equations in Two Variables. Asked once: 2025

    2
    If x=1x = 1 and y=2y = 2 is a solution of the pair of linear equations 2x−3y+a=02x - 3y + a = 0 and 2x+3y−b=02x + 3y - b = 0, then :

    Tap an option to check your answer.

  2. Question 2

    Real Numbers. Asked once: 2025

    26 (a)
    Prove that 2\sqrt{2} is an irrational number.

  3. Question 3

    Triangles. Asked once: 2025

    18
    In the given figure, in ΔABC\Delta ABC, AD⊥BCAD \perp BC and ∠BAC=90∘\angle BAC = 90^\circ. If BC = 16 cm and DC = 4 cm, then the value of x is :

    Tap an option to check your answer.

  4. Question 4

    Circles. Asked once: 2023

    33 (B)
    In the given figure, tangents PQ and PR are drawn to a circle such that ∠RPQ=30∘\angle RPQ = 30^\circ. A chord RS is drawn parallel to the tangent PQ. Find the measure of ∠RQS\angle RQS.

  5. Question 5

    Coordinate Geometry. Asked once: 2024

    23 (b)
    Points A(−1,y)A(-1, y) and B(5,7)B(5, 7) lie on a circle with centre O(2,−3y)O(2, -3y) such that AB is a diameter of the circle. Find the value of yy. Also, find the radius of the circle.