Question

Find the equation of the tangent to the parabola y² = 16x perpendicular to 2x + 2y + 3 = 0

Answer 1

y² = 16x 

Comparing this equation with y² = 4ax

we get 4a = 16 ⇒ a = 4 

The equation of tangent to the parabola y² = 16x will be of the form

So m = 1 

⇒ The equation of tangent will be y = 1(x) + (4/1)

(i.e.,) y = x + 4 

(or) x – y + 4 = 0