Q. Let $M$ be the minimum value of $f (θ) = (3 cos^{2} θ + sin^{2} θ) (sec^{2} θ + 3 cosec^{2} θ)$ , for permissible real values of $θ$ and $P$ denotes the product of all real solutions of the equation $\frac{( x - 1 ) ( 50 - 10 x )}{x ^{2} - 5 x} = x^{2} - 8 x + 7$ . Find (P M)

401 145 Complex Numbers and Quadratic Equations Report Error

Answer: 24

Q. Let M be the minimum value of f(θ)=(3cos2θ+sin2θ)(sec2θ+3cosec2θ), for permissible real values of θ and P denotes the product of all real solutions of the equation x2−5x(x−1)(50−10x)​=x2−8x+7. Find (P M)