PYQ Vault

Day 152: CBSE Class 12 Maths

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

  1. Question 1

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

    9
    Let f(x)=x2f(x) = x^2, x∈Rx \in R. Then, which of the following statements is incorrect ?

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  2. Question 2

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

    11
    If f:R→Rf : R \to R is defined as f(x)=2x−sin⁡xf(x) = 2x - \sin x, then f is :

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  3. Question 3

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

    22 (a)
    Find the least value of 'a' so that f(x)=2x2−ax+3f(x) = 2x^2 - ax + 3 is an increasing function on [2,4][2, 4].

  4. Question 4

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

    32
    Draw a rough sketch of the curve y=xy = \sqrt{x}. Using integration, find the area of the region bounded by the curve y=xy = \sqrt{x}, x=4x = 4 and x-axis, in the first quadrant.

  5. Question 5

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

    4
    A function f(x)=∣1−x+∣x∣∣f(x) = \left| 1 - x + |x| \right| is :

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