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JEE MATHEMATICS MCQ: TRIGONOMETRIC EQUATIONS

1 Easy
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Application +4 | -1
The number of solutions of the equation 32tan⁡2x+32sec⁡2x=81,  0≤x≤π4{32^{{{\tan }^2}x}} + {32^{{{\sec }^2}x}} = 81,\,\,0 \le x \le \frac{\pi }{4} is
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Correct option: B
1
Option B (1) is correct because the equation simplifies to a form where there is only one solution for tan(x) within the given interval.

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