Solveeit Logo
Login

Question

Question: Image of the point P(3, 5, 7) in the plane 2x + y + z = 6 is –...

Image of the point P(3, 5, 7) in the plane 2x + y + z = 6 is –

A

(5, –1, 3)

B

(3, –1, 5)

C

(–5, 1, 3)

D

None of these

Answer

(–5, 1, 3)

Explanation

Solution

If point of Image are (x2, y2, z2) then

x2−32\frac{x_{2} - 3}{2} = y2−51\frac{y_{2} - 5}{1} = z2−71\frac{z_{2} - 7}{1}

=−2(2.3+5+7−6)4+1+1\frac{- 2(2.3 + 5 + 7 - 6)}{4 + 1 + 1}

x2−32\frac{x_{2} - 3}{2} = y2−51\frac{y_{2} - 5}{1} = z2−71\frac{z_{2} - 7}{1} = – 4

x2 = –5, y2 = 1, z2 = 3 point (–5, 1, 3)