Question

Q. 4 tangent and normal are drawn at p (16,16) on the parabola , 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 , then a value of is

Answer 1

We are supposed to find the value of tan θ

And the options for this question are missing, here are the missing options:

A) 4/3

B) 1/2

C) 2

D) 3

The correct answer is Option C) 2

y² = 16x

The tangent at P (16,6) is 2y = x + 16 -- (equation 1)

Normal at P (16,16) is y = -2x + 48 --- (equation 2)

A is (-16,0); B is (24,0)

Center of circle is (4,0)

m base PC = 4/3

m base PB = -2

tan θ = | 4/3 + 2 / 1-8/3| = 2

If there is any confusion please leave a comment below.