PYQ Vault

Day 88: CBSE Class 12 Maths

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

  1. Question 1

    Application of Integrals. Asked once: 2026 (same type asked 2 times)

    12
    The area of the shaded region of the circle given below is equal to :

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  2. Question 2

    Determinants. Asked once: 2026 (same type asked 2 times)

    6
    If B(adj B)=[130001300013]B(\text{adj } B) = \begin{bmatrix} \dfrac{1}{3} & 0 & 0 \\ 0 & \dfrac{1}{3} & 0 \\ 0 & 0 & \dfrac{1}{3} \end{bmatrix}, then the value of det⁡(B−1)=\det (B^{-1}) =

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  3. Question 3

    Determinants. Asked once: 2026 (same type asked 2 times)

    4
    If points (2, 3), (0, 4) and (p, 2) are collinear, then the value of p is :

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  4. Question 4

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

    3
    If for a square matrix A, A2−A+I=OA^2 - A + I = O, then A−1A^{-1} equals

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  5. Question 5

    Determinants. Asked once: 2026 (same type asked 2 times)

    32
    Find cost (per kg) of each fertilizer A, B and C that the farmer needs to buy, such that 1 kg each of fertilizer A and C added to 2 kg of B costs him ₹ 400. Also, cost of each kg of fertilizer B and C added together is equal to cost of 1 kg of fertilizer A. However, cost of 3 kg of fertilizer B added to ₹ 200 is the same as cost of 1 kg of fertilizer A and C together. Use matrix method to find the solution.