PYQ Vault

Day 179: CBSE Class 12 Maths

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

  1. Question 1

    Application of Derivatives. Asked once: 2024 (same type asked 3 times)

    33 (a)
    It is given that function f(x)=x4−62x2+ax+9f(x) = x^4 - 62x^2 + ax + 9 attains local maximum value at x=1x = 1. Find the value of 'a', hence obtain all other points where the given function f(x)f(x) attains local maximum or local minimum values.

  2. Question 2

    Application of Derivatives. Asked once: 2024 (same type asked 3 times)

    5
    The function f(x)=x3−3x2+12x−18f(x) = x^3 - 3x^2 + 12x - 18 is :

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  3. Question 3

    Application of Derivatives. Asked once: 2025 (same type asked 3 times)

    23
    Find the values of ‘a’ for which f(x)=sin⁡x−ax+bf(x) = \sin x - ax + b is increasing on R.

  4. Question 4

    Application of Integrals. Asked once: 2024 (same type asked 3 times)

    13
    The area bounded by the curve y=xy = \sqrt{x}, Y-axis and between the lines y=0y = 0 and y=3y = 3 is :

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  5. Question 5

    Continuity and Differentiability. Asked once: 2024 (same type asked 3 times)

    3
    Which of the following statements is true for the function f(x)={x2+3,x≠01,x=0f(x) = \begin{cases} x^2 + 3, & x \neq 0 \\ 1, & x = 0 \end{cases} ?

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