PYQ Vault

Day 51: CBSE Class 12 Maths

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

  1. Question 1

    Determinants. This type asked 2 times: 2023, 2026. This one: 2026

    7
    If the area of Δ\Delta ABC with vertices A(3, 1), B(−-2, 1) and C(0, k) is 5 sq. units, then values of k are :

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  2. Question 2

    Determinants. This type asked 2 times: 2023, 2026. This one: 2026

    2
    If A2=4A+3IA^2 = 4A + 3I and A−1=xA+yIA^{-1} = xA + yI, then the value of (x+y)(x + y) is :

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  3. Question 3

    Determinants. This type asked 2 times: 2025, 2026. This one: 2026

    34 (a)
    On the inauguration day of a new showroom, a lucky draw was organized and some vouchers of ₹ 1,000 and ₹ 500 were given to the lucky draw winners. A total of 60 vouchers were given on the day. The number of ₹ 1,000 vouchers added to 3 times the number of ₹ 500 vouchers, gives 100. Express the given information as a system of linear equations in two variables. Hence, find the number of vouchers of each type by matrix method.
  4. Question 4

    Differential Equations. This type asked 2 times: 2024, 2026. This one: 2026

    13
    Which of the following is not a Linear Differential Equation ?

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  5. Question 5

    Integrals. This type asked 2 times: 2025, 2026. This one: 2026

    27 (a)
    Find ∫x+2x−2 dx\int \sqrt{\frac{x + 2}{x - 2}} \, dx