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  • Need Solution for R. D.Sharma Maths Class 12 Chapter 3 Inverse Trigonomeric Functions Exercise Multiple Choice Questions Question 46 Maths Textbook Solution.

Need Solution for R. D.Sharma Maths Class 12 Chapter 3 Inverse Trigonomeric Functions Exercise Multiple Choice Questions Question 46 Maths Textbook Solution.

Answers (1)

Answer: \lambda<\frac{1}{3}

Hint: \tan ^{-1} x+\tan ^{-1} y=\tan ^{-1} \frac{x+y}{1-x y}

Given:\tan ^{-1} 3+\tan ^{-1} \lambda=\tan ^{-1} \frac{3+\lambda}{1-3 \lambda}

Solution:

\tan ^{-1} x+\tan ^{-1} y=\tan ^{-1} \frac{x+y}{1-x y}                                                                                                 [x y<1]

                                   =\pi+\tan ^{-1} \frac{x+y}{1-x y}                                                                                         [x y>1]

\begin{aligned} &\mathrm{x}=3, \mathrm{y}=\lambda \\ &\mathrm{xy}<1 \\ &3 \lambda<1 \\ &\lambda<{3} \end{aligned}

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