JEE Mains · Maths · STD 12 - 1. relation and function
If domain of the function \(\log _e\left(\frac{6 x^2+5 x+1}{2 x-1}\right)+\cos ^{-1}\left(\frac{2 x^2-3 x+4}{3 x-5}\right)\) is \((\alpha, \beta) \cup(\gamma, \delta]\), then \(18\left(\alpha^2+\beta^2+\gamma^2+\delta^2\right)\) is equal to \(....\).
- A \(20\)
- B \(21\)
- C \(22\)
- D \(23\)
Answer & Solution
Correct Answer
(A) \(20\)
Step-by-step Solution
Detailed explanation
\(\frac{6 x^2+5 x+1}{2 x-1} > 0\) \(\frac{(3 x+1)(2 x+1)}{2 x-1} > 0\) \(-\frac{1}{2}-\frac{1}{3} \quad \frac{1}{2}\) \(x \in\left(\frac{-1}{2}, \frac{-1}{3}\right) \cup\left(\frac{1}{2}, \infty\right).....(A)\)…
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