PYQ Vault

Day 232: CBSE Class 12 Maths

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

  1. Question 1

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

    16
    The point (x, y, 0) on the xy-plane divides the line segment joining the points (1, 2, 3) and (3, 2, 1) in the ratio :

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  2. Question 2

    Determinants. Asked once: 2025 (same type asked 2 times)

    33
    Three students run on a racing track such that their speeds add up to 6 km/h. However, double the speed of the third runner added to the speed of the first results in 7 km/h. If thrice the speed of the first runner is added to the original speeds of the other two, the result is 12 km/h. Using matrix method, find the original speed of each runner.

  3. Question 3

    Integrals. Asked once: 2025 (same type asked 2 times)

    10
    If ∫21xx2 dx=k⋅21x+C\int \frac{2^{\frac{1}{x}}}{x^2}\,dx = k \cdot 2^{\frac{1}{x}} + C, then k is equal to

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  4. Question 4

    Inverse Trigonometric Functions. Asked once: 2025 (same type asked 2 times)

    3
    The following graph is a combination of :

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  5. Question 5

    Determinants. Asked once: 2023 (same type asked 2 times)

    34 (b)
    If A=[325−7]A = \begin{bmatrix} 3 & 2 \\ 5 & -7 \end{bmatrix}, then find A−1A^{-1} and use it to solve the following system of equations : 3x + 5y = 11, 2x −- 7y = −- 3.