1)

If the parabol y2 = 4ax passes through the point (1, -2), then the tangent at this point is


A) x + y - 1 = 0

B) x - y - 1 = 0

C) x + y + 1 = 0

D) x - y - 1 = 0

Answer:

Option C

Explanation:

 Since the parabola y2 = 4ax passes through the point (1, -2)

.'. (-2)2 = 4a(1) =a = 1

Equation of tangent to the parabola at (1, -2) is

yy1 = 2a(x+x1) or y(-2) = 2(1)(x + 1) or x + y+ 1 = 0