Question

The foot of perpendicular from the point $(7,14,5)$ to the plane $2x+4y-z=2$ if given by ?

• A. $(-5,-10,-11)$
• B. $(1,2,8)$
• C. $(1,-2,8)$
• D. $(1,2,-8)$

Answer 1

The correct option is A $(-5,-10,-11)$

Let Q (α, β,γ) be the foot of perpendicular from P to the given plane
2x + 4y - z = 2 ...(i)
Let P' (x₁ , y₁ , z₁) be the image of P in the plane (i)