Question

The equation of the line which belongs to the family of lines x(1 +  3λ) y(2 + λ) (3 +  5λ)  = 0 and is at a maximum distance from the point (– 1, 1) is

(A)  10x – y = 16

(B)  12x – y = 16

(C)  10x – 3y = 16

(D)  10x + 3y = 16 

Answer 1

Correct option (B)  12x – y = 16

Explanation: 

Point of concurrency of this family is (7/5, 4/5)

The required line will be perpendicular to line joining (7/5, 7/5) and (-1,1)