JEE Main | 2014Math miscellaneousHard
Question
The image of the line
in the plane 2x - y + z + 3 = 0 is the line
in the plane 2x - y + z + 3 = 0 is the lineOptions
A.
B.
C.
D.
Solution
⇒ a = 2λ + 1
b = 3 - λ
c = 4 + λ
P ≡
2(λ + 1) -
+ 3 = 0 2λ + 2 - 3 +
+ 4 + 
+ 3 = 03λ + 6 = 0 ⇒ λ = - 2
a = - 3, b = 5, c = 2
So the equation of the required line is
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