Question

The equation of a plane passing through the line of intersection of the planes x + 2y + 3z = 2 and x – y + z = 3 and at a distance 2/√3 from the point (3, 1, –1) is

Answer 1

Answer is (a) 5x – 11y + z = 17

The equation of the required plane is

P: (x + 2y + 3z – 2) + λ(x – y + z – 3) = 0

–5x + 11y – z + 17 = 0 

5x – 11y + z = 17