Question
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) = 1−x1 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