Question

Line passing through R.
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Answer 1

Answer:

Line L will be parallel to the line of intersection of P1 and P2

Let a, b and c be the direction ratios of line L

⟹a+2b–c=0 and 2a–b+c=0

⟹a:b:c::1:–3:–5

Hence, the Equation of line L is 1x−0=−3y−0=−5z−0 as it passes through the origin.

The foot of perpendicular from origin to plane P1 is (−61,−31,61)

∴ Equation of projection of line L on plane P1 (M) is 

1x+61=−3y+31=−5z−61=c

From the options given, only (−61,−31,61)

 and (0,−65,−32) satisfy the the equation of line of projection M

Step-by-step explanation:

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