1. Tardigrade
  2. Question
  3. Mathematics
  4. Let f(x) be a real valued continuous function satisfying f3(x)-5 f2(x)+10 f(x)-12 ≤ 0 and f2(x)-7 f(x)+12 ≤ 0. A ray of light coming along the curve y=f(x) from positive direction of x-axis and strikes the inner surface of mirror y=2 √3 x. If l is the length of the reflected ray contained within the parabola y2=12 x then find the value of 12 l.

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Q. Let $f(x)$ be a real valued continuous function satisfying $f^3(x)-5 f^2(x)+10 f(x)-12 \leq 0$ and $f^2(x)-7 f(x)+12 \leq 0$. A ray of light coming along the curve $y=f(x)$ from positive direction of $x$-axis and strikes the inner surface of mirror $y=2 \sqrt{3 x}$. If $l$ is the length of the reflected ray contained within the parabola $y^2=12 x$ then find the value of $12 l$.

Conic Sections

Solution:

Correct answer is '225'