PYQ Vault

Day 241: CBSE Class 12 Maths

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

  1. Question 1

    Inverse Trigonometric Functions. Asked once: 2023 (same type asked 3 times)

    21 (a)
    Evaluate sin⁡−1(sin⁡3π4)+cos⁡−1(cos⁡π)+tan⁡−1(1)\sin^{-1}\left(\sin \frac{3\pi}{4}\right) + \cos^{-1}(\cos \pi) + \tan^{-1}(1).

  2. Question 2

    Matrices. Asked once: 2023 (same type asked 3 times)

    2
    The product [ab−ba][a−bba]\begin{bmatrix} a & b \\ -b & a \end{bmatrix}\begin{bmatrix} a & -b \\ b & a \end{bmatrix} is equal to :

    Tap an option to check your answer.

  3. Question 3

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

    22
    Show that the function f(x)=4x3−18x2+27x−7f(x) = 4x^3 - 18x^2 + 27x - 7 has neither maxima nor minima.

  4. Question 4

    Determinants. Asked once: 2023 (same type asked 3 times)

    16
    If ∣A−12∣=1k∣A∣\left|\frac{A^{-1}}{2}\right| = \frac{1}{k|A|}, where A is a 3×33 \times 3 matrix, then the value of k is :

    Tap an option to check your answer.

  5. Question 5

    Vector Algebra. Asked once: 2023 (same type asked 3 times)

    23 (a)
    Position vectors of the points A, B and C as shown in the figure below are a⃗\vec{a}, b⃗\vec{b} and c⃗\vec{c} respectively. If AC→=54AB→\overrightarrow{AC} = \frac{5}{4} \overrightarrow{AB}, express c⃗\vec{c} in terms of a⃗\vec{a} and b⃗\vec{b}.