Consider a set of all the lines `(2 + lambda)x - (3 + 2lambda)y + (1 + lambda) = 0, lambda in R`, then equation of the line which belongs to this set & farthest from origin is :

Options

A. `2x - 3y + 1 = 0`
B. `x - 2y + 1 = 0`
C. `x - y = 0`
D. `x + y = 2`

Answer

D

Explanation

Equation of the required line is passing through (1, 1) and perpendicular to line joining (0, 0) and (1, 1)