If (α, β, γ) is the mirror image of Q (3, –3, 1) in the line x-0/1 = y-3/1 = z-5/-1 and R(2, 5, 3). If the area of ΔPQR

Question

If (α, β, γ) is the mirror image of Q (3, –3, 1) in the line \(\frac {x -0}1 = \frac{y-3}1 = \frac {z - 5}{-1}\) and \(R(2, 5, 3)\). If the area of \(\Delta PQR\) is \(\lambda \), then \(\frac{\lambda^2}{546}\) equals to

(1) \(\frac{125}{81}\)

(2) \(\frac{25}{81}\)

(3) \(\frac{1}{81}\)

(4) \(\frac{5}{81}\)

Answer 1

Correct option is (1) \(\frac{125}{81}\)