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Question: If f (x) = \(\frac{1}{1 - x}\) and a, b (a \>b) be the values of x, where f (f(x)) is not defined, t...

If f (x) = 11x\frac{1}{1 - x} and a, b (a >b) be the values of x, where f (f(x)) is not defined, then a ray of light parallel to the axis of the parabola y2 = 4x after reflection from the internal surface of the parabola will necessarily pass through the point.

A

(a, a)

B

(a, b)

C

(b, b)

D

None of these

Answer

(a, b)

Explanation

Solution

If a ray of light is parallel to the axis of parabola, then after reflection it goes from focus (1, 0). Given function is not defined for x = 1, 0