PYQ Vault

Day 45: 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. This type asked 3 times: 2024, 2025, 2026. This one: 2026

    35 (a)
    Solve the following system of equations graphically : 2x+3y=5,−3x+y=−22x + 3y = 5, \quad -3x + y = -2

  2. Question 2

    Polynomials. This type asked 3 times: 2023, 2025, 2026. This one: 2026

    24
    Find a quadratic polynomial whose zeroes are (5−23)\left(5 - 2\sqrt{3}\right) and (5+23)\left(5 + 2\sqrt{3}\right).

  3. Question 3

    Polynomials. This type asked 3 times: 2023, 2025, 2026. This one: 2026

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

    Tap an option to check your answer.

  4. Question 4 (case study, 4 parts)

    Polynomials. This type asked 3 times: 2023, 2024, 2026. This one: 2026

    During a theatre drama, a backdrop of building arches was used. The shape of the curve shown below can be represented by the polynomial p(x)=−x2+2x+8p(x) = -x^2 + 2x + 8, where x is the length (in feet) on stage level. Based on the figure given above, answer the following questions :
    36 (i)
    Determine the height of the arch.
    36 (ii) (a)
    Find zeroes of the polynomial p(x)p(x). Which points on the graph represent the zeroes ?
    36 (ii) (b)
    Find the span of the arch on the stage floor.
    36 (iii)
    Write the coordinates of the point of intersection of the above curve with the y-axis.

  5. Question 5

    Polynomials. This type asked 3 times: 2024, 2025, 2026. This one: 2026

    8
    How many zeroes does p(x)=(x−2)(x+3)p(x) = (x - 2)(x + 3) have ?

    Tap an option to check your answer.