Question

Consider the set of all lines px + qy + r = 0 such that 3p + 2q + 4r = 0. Which one of the following statements is true? The lines are concurrent at the point

(1) (3/4,1/2)

(2) The lines are all parallel

(3) The lines are not concurrent

(4) Each line passes through the origin

Answer 1

Correct option (1) (3/4,1/2)

Explanation:

3p + 2q + 4r = 0

px + qy + r = 0 .....(i)

3/4p +q/2 + r = 0 .....(ii)

comparing (i) and (ii) x = 3/4, y = 1/2