Question

The plane 2x – y + 3z + 5 = 0 is rotated through 90º about its line of intersection with the plane 5x – 4y + 2z + 1 = 0. The equation of the plane in the new position is 

(A) 6x – 9y – 29z – 31 = 0 

(B) 27x – 24y – 26z – 13 = 0 

(C) 43x – 32y – 2z + 27 = 0 

 (D) 26x – 43y – 151z – 165 = 0

Answer 1

Correct Option (B) 27x – 24y – 26z – 13 = 0  

Explanation:

Equation of a plane passing through the line of intersection of the given planes is