Math miscellaneousHard
Question
Image of the point (1, 0, 2) in the plane x - y + z = 0 is -
Options
A.(-1, 0, 2)
B.(0, -1, 2)
C.(2, -1, 0)
D.(-1, 2, 0)
Solution
Let the image be (a, b, c)
Equation of line AP is
= λ⇒ Let a = λ + 1,
b = - λ & c = λ + 2
Mid-point of AP lies on the plane
⇒
= 0⇒ = -2 ⇒ P(-1,2,0)
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