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If \(5 f(x)+4 f\left(\frac{1}{x}\right)=x^2-2, \forall x \neq 0\) and \(y=9 x^2 f(x)\), then \(y\) is strictly increasin…

Q1

If \(5 f(x)+4 f\left(\frac{1}{x}\right)=x^2-2, \forall x \neq 0\) and \(y=9 x^2 f(x)\), then \(y\) is strictly increasing in :

[JEE Main 2024, 1 Feb (Shift 1)]

a

\(\left(0, \frac{1}{\sqrt{5}}\right) \cup\left(\frac{1}{\sqrt{5}}, \infty\right)\)

b

\(\left(-\frac{1}{\sqrt{5}}, 0\right) \cup\left(\frac{1}{\sqrt{5}}, \infty\right)\)

c

\(\left(-\infty, \frac{1}{\sqrt{5}}\right) \cup\left(0, \frac{1}{\sqrt{5}}\right)\)

d

\(\left(-\frac{1}{\sqrt{5}}, 0\right) \cup\left(0, \frac{1}{\sqrt{5}}\right)\)

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