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JEE MATHEMATICS MCQ: TRIGONOMETRIC EQUATIONS

1 Easy
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Application +4 | -1
If θ1\theta_1 and θ2\theta_2 are two values lying in [0,2π][0,2 \pi] for which tan⁡θ=λ\tan \theta=\lambda, then tan⁡θ12tan⁡θ22\tan \frac{\theta_1}{2} \tan \frac{\theta_2}{2} is equal to
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Correct option: B
−1-1
Option B (-1) is correct because the product of the roots of the quadratic equation in tan⁡θ2\tan \frac{{\theta}}{{2}} is -1.

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