Question

The equation of the line with slope 2 and the length of the perpendicular from the origin equal to √5 is …

(a) x + 2y = √5

(b) 2x + y = √5

(c) 2x - y + 5 = 0 

(d) x + 2y – 5 = 0

Answer 1

(c) 2x + y = 5

y = 2x + c

Perpendicular distance from origin 

The required line is y = 2x + 5 ⇒ 2x – y + 5 = 0