PYQ Vault

Day 177: 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 (same type asked 3 times)

    26
    Check whether the given system of equations is consistent or not. If consistent, solve graphically. x−2y=0x - 2y = 0 2x+y=02x + y = 0

  2. Question 2

    Statistics. Asked once: 2025 (same type asked 3 times)

    34
    The population of lions was noted in different regions across the world in the following table :
    Number of lionsNumber of regions
    0 – 1002
    100 – 2005
    200 – 3009
    300 – 40012
    400 – 500xx
    500 – 60020
    600 – 70015
    700 – 8009
    800 – 900yy
    900 – 10002
    100
    If the median of the given data is 525, find the values of xx and yy.

  3. Question 3

    Polynomials. Asked once: 2025 (same type asked 2 times)

    26
    Find the zeroes of the polynomial p(x)=6x2−5x−1p(x) = 6x^2 - 5x - 1. Hence, obtain a polynomial each of whose zeroes is three times the zeroes of p(x)p(x).

  4. Question 4

    Circles. Asked once: 2022 (same type asked 4 times)

    11 (b)
    In Figure 4, O is centre of a circle of radius 5 cm. PA and BC are tangents to the circle at A and B respectively. If OP = 13 cm, then find the length of tangents PA and BC.

  5. Question 5

    Introduction to Trigonometry. Asked once: 2024 (same type asked 4 times)

    25
    Evaluate : cos⁡45∘+sin⁡60∘sec⁡30∘+cosec⁡30∘\dfrac{\cos 45^\circ + \sin 60^\circ}{\sec 30^\circ + \operatorname{cosec} 30^\circ}.