1. Tardigrade
  2. Question
  3. Mathematics
  4. Let M be the minimum value of f(θ)=(3 cos 2 θ+ sin 2 θ)( sec 2 θ+3 operatornamecosec2 θ), for permissible real values of θ and P denotes the product of all real solutions of the equation ((x-1)(50-10 x)/x2-5 x)=x2-8 x+7. Find (P M)

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Q. Let $M$ be the minimum value of $f(\theta)=\left(3 \cos ^2 \theta+\sin ^2 \theta\right)\left(\sec ^2 \theta+3 \operatorname{cosec}^2 \theta\right)$, for permissible real values of $\theta$ 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)

Complex Numbers and Quadratic Equations

Solution:

Correct answer is '24'