MHT CET · Maths · Inverse Trigonometric Functions
The number of positive integral solutions of \(\tan ^{-1} x+\cos ^{-1}\left(\frac{y}{\sqrt{1+y^2}}\right)=\sin ^{-1}\left(\frac{3}{\sqrt{10}}\right)\) are
- A 1
- B 2
- C 3
- D 4
Answer & Solution
Correct Answer
(B) 2
Step-by-step Solution
Detailed explanation
\(\tan ^{-1} x+\tan ^{-1}\left(\frac{1}{y}\right)=\tan ^{-1}(3)\) \(\frac{x+\frac{1}{y}}{1-\frac{x}{y}}=3\)
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