PYQ Vault

Day 7: CBSE Class 12 Maths

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

  1. Question 1

    Determinants. Asked 2 times: 2025, 2026

    32
    A man goes to buy fruits from the market. The shopkeeper informs him that 4 apples, 3 oranges and 2 bananas cost ₹ 60; 2 apples, 4 oranges and 6 bananas cost ₹ 90; whereas 6 apples, 2 oranges and 3 bananas cost ₹ 70. Using matrix method, find the cost of one fruit of each kind.

  2. Question 2

    Differential Equations. Asked 2 times: 2023, 2026

    30 (a)
    Find the general solution of the differential equation (x2−y2) dx+2xy dy=0(x^2 - y^2)\, dx + 2xy\, dy = 0.

  3. Question 3

    Differential Equations. Asked 2 times: 2025*, 2026 (* = numbers or wording changed that year)

    29 (a)
    Solve the following differential equation : xdydx=y−xsin⁡2(yx)x\dfrac{dy}{dx} = y - x \sin^2 \left(\dfrac{y}{x}\right), given that y(1)=π6y(1) = \dfrac{\pi}{6}

  4. Question 4

    Differential Equations. Asked 2 times: 2025, 2026

    28
    Solve the differential equation (x−sin⁡y) dy+tan⁡y dx=0(x - \sin y)\,dy + \tan y\,dx = 0.

  5. Question 5

    Differential Equations. Asked 2 times: 2024*, 2026 (* = numbers or wording changed that year)

    28
    Solve the differential equation (x+2y3) dy=y dx(x + 2y^3)\,dy = y\,dx.