AP EAMCET · Maths · Quadratic Equation
If \(y^2+z^2=3 y z, z^2+x^2=8 z x, x^2+y^2=4 x y\). then the value of \(\frac{y^2}{x z}+\frac{x z}{y^2}\) is
- A \(2\)
- B \(3\)
- C \(4\)
- D \(5\)
Answer & Solution
Correct Answer
(C) \(4\)
Step-by-step Solution
Detailed explanation
(c) \[ \begin{aligned} & y^2+z^2=3 y z \Rightarrow \frac{y}{z}+\frac{z}{y}=3 \\ & z^2+x^2=8 z x \Rightarrow \frac{z}{x}+\frac{x}{z}=8 \\ & x^2+y^2=4 x y \Rightarrow \frac{x}{y}+\frac{y}{x}=4 \end{aligned} \] From Eqs. (i) and (iii),…
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