PYQ Vault

Day 87: CBSE Class 10 Maths

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

  1. Question 1

    Polynomials. Asked once: 2023 (same type asked 2 times)

    8
    The graph of y=p(x)y = p(x) is given in the adjoining figure. Zeroes of the polynomial p(x)p(x) are

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  2. Question 2

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

    Two statements are given, one labelled Assertion (A) and the other labelled Reason (R). Select the correct answer from the options given below.
    19
    Assertion (A) : The probability of selecting a number at random from the numbers 1 to 20 is 1. Reason (R) : For any event E, if P(E) = 1, then E is called a sure event.

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  3. Question 3

    Quadratic Equations. Asked once: 2026 (same type asked 2 times)

    11
    If roots of the quadratic equation x2−k3 x+2=0x^2 - k\sqrt{3}\,x + 2 = 0 are real and equal, then value of k is

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  4. Question 4

    Quadratic Equations. Asked once: 2022 (same type asked 2 times)

    1 (b)
    If the quadratic equation (1+a2)x2+2abx+(b2−c2)=0(1 + a^2)x^2 + 2abx + (b^2 - c^2) = 0 has equal and real roots, then prove that : b2=c2(1+a2)b^2 = c^2(1 + a^2)

  5. Question 5

    Quadratic Equations. Asked once: 2023 (same type asked 2 times)

    8
    The least positive value of k, for which the quadratic equation 2x2+kx−4=02x^2 + kx - 4 = 0 has rational roots, is

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