PYQ Vault

Day 105: CBSE Class 10 Maths

5 questions (8 parts). Try each one first, then open its answer.

  1. Question 1

    Pair of Linear Equations in Two Variables. Asked once: 2026 (same type asked 3 times)

    34
    Represent the following pair of linear equations graphically and hence comment on the condition of consistency of this pair : x−5y=6x - 5y = 6; 2x−10y=122x - 10y = 12

  2. Question 2

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

    21
    Find a quadratic polynomial whose zeroes are 2 and −75-\dfrac{7}{5}.

  3. Question 3

    Polynomials. Asked once: 2026 (same type asked 3 times)

    4
    The graph of y=f(x)y = f(x) is given. The number of zeroes of f(x)f(x) is :

    Tap an option to check your answer.

  4. Question 4 (case study, 4 parts)

    Polynomials. Asked once: 2024 (same type asked 3 times)

    A ball is thrown in the air so that t seconds after it is thrown, its height h metre above its starting point is given by the polynomial h=25t−5t2h = 25t - 5t^2. Observe the graph of the polynomial and answer the following questions :
    36 (i)
    Write zeroes of the given polynomial.
    36 (ii)
    Find the maximum height achieved by ball.
    36 (iii) (a)
    After throwing upward, how much time did the ball take to reach to the height of 30 m ?
    36 (iii) (b)
    Find the two different values of t when the height of the ball was 20 m.

  5. Question 5

    Polynomials. Asked once: 2024 (same type asked 3 times)

    Two statements are given, one labelled Assertion (A) and the other labelled Reason (R). Select the correct answer from the options given below.
    20
    Assertion (A) : If the graph of a polynomial touches x-axis at only one point, then the polynomial cannot be a quadratic polynomial. Reason (R) : A polynomial of degree n(n>1)n(n > 1) can have at most n zeroes.

    Tap an option to check your answer.