Question

If the line x – y – 1 = 0 intersect the parabola y² = 8x at P & Q, then find the point of intersection of tangents at P & Q.

Answer 1

Let (h, k) be point of intersection of tangents then chord of contact is 

yk = 4(x + h) 4x – yk + 4h = 0       .....(i) 

But given is

x – y – 1 = 0