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Let P be a plane passing through the poi...

Let P be a plane passing through the points (2,1,0), (`lambda - 1`, 1,1) and (`lambda`,0,1) and R be any point (2,1,6) and image of R in P is Q (6,5,-2) then `lambda` can be `(lambda in R)`

A

3

B

4

C

5

D

6

Text Solution

Verified by Experts

The correct Answer is:
C
Normal to the plane should be `vec(RQ)`
`vec(n) = (4hat(i) + 4hat(j) - 8hat(k))`
Then equation of plane P should be
`(vec(r) - (2hat(i) + hat(j))) (hat(i) + hat(j) - 2hat(k)) = 0`
` x + y - 2x = 3 rArr lambda + 0 - 2= 3 , " " lambda = 5`
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