Question

Tangent and normal are drawn at P(16,16) on the parabola y² = 16x, which intersect the axis of the parabola at A and B, respectively. If C is the centre of the circle through the points P, A and B and ∠CPB = θ, then a value of tan θ is

(a) 1/2

(b) 2 

(c) 3 

(d) 4/3

Answer 1

Correct option (b) 2

Explanation:

Equation of tangent and normal to the curve y² =16x at (16, 16) is x - 2y + 16 = 0 and 2x + y - 48 = 0, respectively.