PYQ Vault

Day 142: CBSE Class 12 Maths

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

  1. Question 1

    Three Dimensional Geometry. Asked once: 2025 (same type asked 4 times)

    35 (a)
    Find the point Q on the line 2x+46=y+12=−2z+6−4\dfrac{2x + 4}{6} = \dfrac{y + 1}{2} = \dfrac{-2z + 6}{-4} at a distance of 323\sqrt{2} from the point P(1,2,3)P(1, 2, 3).

  2. Question 2

    Three Dimensional Geometry. Asked once: 2025 (same type asked 4 times)

    34 (a)
    Find the shortest distance between the lines : x+12=y−11=z−9−3\dfrac{x + 1}{2} = \dfrac{y - 1}{1} = \dfrac{z - 9}{-3} and x−32=y+15−7=z−95\dfrac{x - 3}{2} = \dfrac{y + 15}{-7} = \dfrac{z - 9}{5}.

  3. Question 3

    Three Dimensional Geometry. Asked once: 2024 (same type asked 4 times)

    35 (a)
    Find the equation of the line passing through the point of intersection of the lines x1=y−12=z−23\dfrac{x}{1} = \dfrac{y - 1}{2} = \dfrac{z - 2}{3} and x−10=y−3=z−72\dfrac{x - 1}{0} = \dfrac{y}{-3} = \dfrac{z - 7}{2} and perpendicular to these given lines.

  4. Question 4

    Three Dimensional Geometry. Asked once: 2024 (same type asked 4 times)

    15
    The lines 1−x2=y−13=z1\dfrac{1-x}{2} = \dfrac{y-1}{3} = \dfrac{z}{1} and 2x−32p=y−1=z−47\dfrac{2x-3}{2p} = \dfrac{y}{-1} = \dfrac{z-4}{7} are perpendicular to each other for p equal to :

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  5. Question 5

    Three Dimensional Geometry. Asked once: 2024 (same type asked 4 times)

    16
    Direction ratios of a vector parallel to line x−12=−y=2z+16\dfrac{x-1}{2} = -y = \dfrac{2z+1}{6} are :

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