PYQ Vault

Day 161: CBSE Class 12 Maths

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

  1. Question 1

    Three Dimensional Geometry. Asked once: 2023 (same type asked 2 times)

    18
    Equation of a line passing through point (1, 2, 3) and equally inclined to the coordinate axis, is

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  2. Question 2

    Three Dimensional Geometry. Asked once: 2023 (same type asked 2 times)

    33 (a)
    Find the equations of the diagonals of the parallelogram PQRS whose vertices are P(4, 2, −6-6), Q(5, −3-3, 1), R(12, 4, 5) and S(11, 9, −2-2). Use these equations to find the point of intersection of diagonals.

  3. Question 3

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

    17
    The value of ∫0π/2log⁡tan⁡x dx\int_{0}^{\pi/2} \log \tan x \, dx is :

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  4. Question 4

    Application of Integrals. Asked once: 2023 (same type asked 5 times)

    23
    Sketch the region bounded by the lines 2x+y=82x + y = 8, y=2y = 2, y=4y = 4 and the y-axis. Hence, obtain its area using integration.

  5. Question 5

    Differential Equations. Asked once: 2026 (same type asked 5 times)

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