PYQ Vault

Day 260: CBSE Class 12 Maths

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

  1. Question 1

    Continuity and Differentiability. Asked once: 2023 (same type asked 4 times)

    22
    If (x2+y2)2=xy(x^2 + y^2)^2 = xy, then find dydx\dfrac{dy}{dx}.

  2. Question 2

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

    22 (b)
    If y=cosec (cot⁡−1x)y = \text{cosec}\,(\cot^{-1} x), then prove that 1+x2 dydx−x=0\sqrt{1 + x^2}\ \dfrac{dy}{dx} - x = 0.

  3. Question 3

    Determinants. Asked once: 2023 (same type asked 4 times)

    5
    The value of ∣x+yy+zz+xzxy111∣\begin{vmatrix} x+y & y+z & z+x \\ z & x & y \\ 1 & 1 & 1 \end{vmatrix} is

    Tap an option to check your answer.

  4. Question 4

    Integrals. Asked once: 2023 (same type asked 4 times)

    6
    ∫0π6sec⁡2(x−π6)dx\int\limits_{0}^{\frac{\pi}{6}} \sec^2\left(x - \frac{\pi}{6}\right) dx is equal to :

    Tap an option to check your answer.

  5. Question 5

    Integrals. Asked once: 2022 (same type asked 4 times)

    1
    Find : ∫dxx2−6x+13\int \dfrac{dx}{x^2 - 6x + 13}