Question

Consider the plane 2x + y – 3z = 6. If (𝛼, 𝛽, 𝛾) is the image of point (2, 3, 5) in the given plane, then 𝛼 + 𝛽 + 𝛾 = ______

Answer 1

The correct answer is : 10
$\frac{x-2}{2}=\frac{y-3}{1}=\frac{z-5}{-3}=-2\frac{(-14)}{14}$
$\Rightarrow x=6,y=5,z=-1$
$\therefore \alpha=6,\beta=5,\gamma=-1$
$\alpha+\beta+\gamma = 6+5-1=10$