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3D Geometry question

2022 · Shift 1 · Q29

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PYQ Library
JEE Advanced
Mathematics
3D Geometry
2022 · Shift 1 · Q29

3D Geometry question

2022 · Shift 1 · Q29

JEE AdvancedMathematics3D GeometryMultiple correct+4 / −2

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}

?

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

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