Let f(x) be a real valued continuous function satisfyingf3(x)−5f2(x)+10f(x)−12≤0 and f2(x)−7f(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√3x. If l is the length of the reflected ray contained within the parabola y2=12x, then the value of 12l is

Let f(x) be a real valued continuous function satisfyingf3(x)−5f2(x)

1.	Let f(x) be a real valued continuous function satisfyingf3(x)−5f2(x)+10f(x)−12≤0 and f2(x)−7f(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√3x. If l is the length of the reflected ray contained within the parabola y2=12x, then the value of 12l is
Answer» 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 the value of $12 l$ is