PYQ Vault

Day 185: CBSE Class 12 Maths

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

  1. Question 1

    Matrices. Asked once: 2024 (same type asked 2 times)

    1
    If the sum of all the elements of a 3×33 \times 3 scalar matrix is 9, then the product of all its elements is :

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  2. Question 2

    Relations and Functions. Asked once: 2024 (same type asked 2 times)

    2
    Let f:R+→[−5,∞)f : R_+ \to [-5, \infty) be defined as f(x)=9x2+6x−5f(x) = 9x^2 + 6x - 5, where R+R_+ is the set of all non-negative real numbers. Then, f is :

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  3. Question 3

    Determinants. Asked once: 2024 (same type asked 2 times)

    34
    Find A−1A^{-1}, if A=[12123−1101]A = \begin{bmatrix} 1 & 2 & 1 \\ 2 & 3 & -1 \\ 1 & 0 & 1 \end{bmatrix}. Hence, solve the following system of equations : x+2y+z=5x + 2y + z = 5 2x+3y=12x + 3y = 1 x−y+z=8x - y + z = 8

  4. Question 4

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

    11
    Equation of a line passing through point (1, 1, 1) and parallel to z-axis is

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  5. Question 5

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

    32 (b)
    Vertices B and C of Δ\Delta ABC lie on the line x+22=y−11=z4\dfrac{x + 2}{2} = \dfrac{y - 1}{1} = \dfrac{z}{4}. Find the area of Δ\Delta ABC given that point A has coordinates (1,−1,2)(1, -1, 2) and the line segment BC has length of 5 units.