Question

The lines p(p² + 1)x – y + q = 0 and (p² + 1)²x + (p² + 1)y + 2q = 0 are perpendicular to a common line for
(a) exactly one value of p
(b) exactly two values of p
(c) more than two values of p
(d) no value of p

Answer 1

(a) : The given lines are perpendicular to a common line, means they are in themselves parallel.