Math miscellaneousHard

Question

Line drawn perpendicular to plane x + 2y - 3z = 21 at point A meets plane 2x + ky + 5z = 8 at point B. If mid point of AB is (1,-1,2), then k is equal to -

Options

A.5
B.6
C.10
D.-8

Solution

         
Line ′L′ perpendicular to P1 is

∵ A(λ + 1, 2λ - 1, -3λ + 2) lies on P1
⇒ λ = 2
⇒ B is (-1, -5, 8) which lies on P2

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