PYQ Vault

Day 190: CBSE Class 12 Maths

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

  1. Question 1

    Continuity and Differentiability. Asked once: 2024 (same type asked 4 times)

    22 (a)
    If y=cos⁡3(sec⁡22t)y = \cos^{3}(\sec^{2} 2t), find dydt\dfrac{dy}{dt}.

  2. Question 2

    Continuity and Differentiability. Asked once: 2025 (same type asked 4 times)

    7
    If tan⁡−1(x2−y2)=a\tan^{-1}(x^2 - y^2) = a, where 'a' is a constant, then dydx\dfrac{dy}{dx} is :

    Tap an option to check your answer.

  3. Question 3

    Continuity and Differentiability. Asked once: 2025 (same type asked 4 times)

    32 (a)
    Differentiate tan⁡−11−x2x\tan^{-1} \frac{\sqrt{1 - x^2}}{x} w.r.t. cos⁡−1(2x1−x2)\cos^{-1}(2x\sqrt{1 - x^2}), x∈(12,1)x \in \left(\frac{1}{\sqrt{2}}, 1\right)

  4. Question 4

    Continuity and Differentiability. Asked once: 2024 (same type asked 4 times)

    27 (b)
    If y=(tan⁡x)xy = (\tan x)^x, then find dydx\frac{dy}{dx}.

  5. Question 5

    Determinants. Asked once: 2025 (same type asked 4 times)

    6
    If A=[aij]A = [a_{ij}] is a 3×33 \times 3 diagonal matrix such that a11=1a_{11} = 1, a22=5a_{22} = 5 and a33=−2a_{33} = -2, then ∣A∣|A| is :

    Tap an option to check your answer.