Question

If a, b, c are distinct positive real numbers such that the parabolas y² = 4ax and y² = 4c (x– b) will have a common normal, then

a. \(0 < \frac b{a-c} < 1\)

b. \( \frac b{a-c} < 0\)

c. \(1 < \frac b{a-c} < 2\)

d. \( \frac b{a-c} < 2\)

Answer 1

Correct option is d. \( \frac b{a-c} < 2\) 

Equation of normals are