MATHEMATICS_JEE Advance 2022_S1 - Competishun – Live JEE & NEET Courses and Exam Prep

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JEE Advance 2022

Paper-1

Multiple correct answers - Select all that apply

Question

Let $P_1$ and $P_2$ be two planes given by $$ \begin{aligned} & P_1: 10 x+15 y+12 z-60=0 \\ & P_2:-2 x+5 y+4 z-20=0 \end{aligned} $$ Which of the following straight lines can be an edge of some tetrahedron whose two faces lie on $P_1$ and $P_2$ ?

Select ALL correct options:

A

$\frac{x-1}{0}=\frac{y-1}{0}=\frac{z-1}{5}$

B

$\frac{x-6}{-5}=\frac{y}{2}=\frac{z}{3}$

C

$\frac{x}{-2}=\frac{y-4}{5}=\frac{z}{4}$

D

$\frac{x}{1}=\frac{y-4}{-2}=\frac{z}{3}$

✓ Correct! Well done.

✗ Incorrect. Try again or view the solution.

⚠ Partially correct. Some answers are missing.

Solution

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Mathematics

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