PYQ Vault

Day 112: CBSE Class 12 Maths

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

  1. Question 1

    Three Dimensional Geometry. Asked once: 2024 (same type asked 4 times)

    18
    If a line makes an angle of 30∘30^\circ with the positive direction of x-axis, 120∘120^\circ with the positive direction of y-axis, then the angle which it makes with the positive direction of z-axis is :

    Tap an option to check your answer.

  2. Question 2

    Application of Derivatives. Asked once: 2026 (same type asked 3 times)

    18
    The absolute maximum value of f(x)=x2+1f(x) = x^2 + 1 in [−5,2][-5, 2] is

    Tap an option to check your answer.

  3. Question 3

    Application of Derivatives. Asked once: 2026 (same type asked 3 times)

    25
    Find the sub-interval of (0,∞)(0, \infty) in which f(x)=x2e−xf(x) = x^2 e^{-x} is increasing.

  4. Question 4

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

    23
    Determine those values of x for which f(x)=2x−5f(x) = \dfrac{2}{x} - 5, x≠0x \ne 0 is increasing or decreasing.

  5. Question 5

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

    26
    Show that f(x)=tan⁡−1(sin⁡x+cos⁡x)f(x) = \tan^{-1}(\sin x + \cos x) is an increasing function in [0,π4]\left[0, \dfrac{\pi}{4}\right].