IIT-JEE 2005 Mains | Functions Question 33 | Mathematics

IIT-JEE 2005 Mains

MCQ (Single Correct Answer)

+3

-0

Find the range of value of $$t$$ for which

$$2 \sin t=\frac{1-2 x+5 x^{2}}{3 x^{2}-2 x-1}, t \in\left[-\frac{\pi}{2}, \frac{\pi}{2}\right]$$

A

$$\left[ { - {\pi \over 3},{{ - \pi } \over {10}}} \right] \cup \left[ {{{\pi } \over {10}},{\pi \over 2}} \right]$$

B

$$\left[ { - {\pi \over 2},{{ - \pi } \over {10}}} \right] \cup \left[ {{{3\pi } \over {10}},{\pi \over 2}} \right]$$

C

$$\left[ { - {\pi \over 2},{{ - \pi } \over {6}}} \right] \cup \left[ {{{3\pi } \over {10}},{\pi \over 3}} \right]$$

D

$$\left[ { {\pi \over 2},{{ - \pi } \over {10}}} \right] \cup \left[ {{{\pi } \over {10}},{\pi \over 2}} \right]$$

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