PYQ Vault

Day 132: 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)

    7
    Equation of line passing through origin and making 30∘^\circ, 60∘^\circ and 90∘^\circ with xx, y, z axes respectively is

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  2. Question 2

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

    35 (b)
    Find the equations of all the sides of the parallelogram ABCD whose vertices are A(4, 7, 8), B(2, 3, 4), C(−1,−2,1-1, -2, 1) and D(1, 2, 5). Also, find the coordinates of the foot of the perpendicular from A to CD.

  3. Question 3

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

    21
    If r⃗=3i^−2j^+6k^\vec{r} = 3\hat{i} - 2\hat{j} + 6\hat{k}, find the value of (r⃗×j^)⋅(r⃗×k^)−12(\vec{r} \times \hat{j}) \cdot (\vec{r} \times \hat{k}) - 12.

  4. Question 4

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

    28
    Evaluate : ∫0π/4log⁡(1+tan⁡x) dx\int_{0}^{\pi/4} \log (1 + \tan x) \, dx

  5. Question 5

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

    27
    Using integration, find the area of the region bounded by y=mxy = mx (m > 0), x=1x = 1, x=2x = 2 and the xx-axis.