PYQ Vault

Day 219: CBSE Class 12 Maths

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

  1. Question 1

    Vector Algebra. Asked once: 2024 (same type asked 3 times)

    15
    The position vectors of points P and Q are p⃗\vec{p} and q⃗\vec{q} respectively. The point R divides line segment PQ in the ratio 3 : 1 and S is the mid-point of line segment PR. The position vector of S is :

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  2. Question 2

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

    27 (a)
    Let 2x+5y−1=02x + 5y - 1 = 0 and 3x+2y−7=03x + 2y - 7 = 0 represent the equations of two lines on which the ants are moving on the ground. Using matrix method, find a point common to the paths of the ants.

  3. Question 3

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

    14
    ∫ex4−e2x dx\displaystyle\int \dfrac{e^x}{\sqrt{4 - e^{2x}}}\, dx is equal to :

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  4. Question 4

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

    1
    The given graph illustrates :

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  5. Question 5

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

    2
    If A=[00−50304⋅300]A = \begin{bmatrix} 0 & 0 & -5 \\ 0 & 3 & 0 \\ 4{\cdot}3 & 0 & 0 \end{bmatrix}, then A is a :

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