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The correct order of steps from A to E, for finding value of p, so that the lines 1-x 3 = 7y-14 2p = z-3 2 and 7-7x 3p = y-5 1 = 6-z 5 are at right…

CUET UG 2022 — Mathematics Geometry

2022mcqmedium

The correct order of steps from A to E, for finding value of p, so that the lines 1−x3=7y−142p=z−32\frac{1-x}{3} = \frac{7y-14}{2p} = \frac{z-3}{2}31−x​=2p7y−14​=2z−3​ and 7−7x3p=y−51=6−z5\frac{7-7x}{3p} = \frac{y-5}{1} = \frac{6-z}{5}3p7−7x​=1y−5​=56−z​ are at right angle is:

A. p=7011p = \frac{70}{11}p=1170​
B. (−3)×(−3p7)+1×(2p7)+2×(−5)=0(-3) \times \left(\frac{-3p}{7}\right) + 1 \times \left(\frac{2p}{7}\right) + 2 \times (-5) = 0(−3)×(7−3p​)+1×(72p​)+2×(−5)=0
C. x−1−3=y−22p7=z−32\frac{x-1}{-3} = \frac{y-2}{2\frac{p}{7}} = \frac{z-3}{2}−3x−1​=27p​y−2​=2z−3​, x−1−3p7=y−51=z−6−5\frac{x-1}{-\frac{3p}{7}} = \frac{y-5}{1} = \frac{z-6}{-5}−73p​x−1​=1y−5​=−5z−6​
D. 9p7+2p7−10=0\frac{9p}{7} + \frac{2p}{7} - 10 = 079p​+72p​−10=0
E. 11p7=10\frac{11p}{7} = 10711p​=10

Choose the correct answer from the options given below:

Official previous-year question

Held on 16 Jul 2022 · Verified 13 Jul 2026.

Options

  1. A

    C, D, E, A, B

  2. B

    C, D, A, B, E

  3. C

    A, B, C, D, E

  4. D

    C, B, D, E, A

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