Which of the following is correct in respect of the equation 3-\tan^2\theta =\alpha(1-3tan^2\theta)? (Given that α is a real number.) [2016 CDS-I]

Correct Answer is : α∈(−∞,13)∪[3,∞]

\alpha\in(-\infty,1/3]\cup[3,\infty]

\alpha\in(-\infty,1/3)\cup[3,\infty]

UPSC CDS Math Trigonometric Ratios and Trigonometric Identities Questions

Question : 61 of 107

Marks: +1, -0

Which of the following is correct in respect of the equation 3−tan2θ=α(1−3tan2θ)? (Given that α is a real number.)

[2016 CDS-I]

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