The positive integral solution of $$tan$$−$$1$$⁡$$x+$$$$cos$$−$$1$$⁡$$y1+y2=$$$$sin$$−$$1$$⁡$$310$$ is

Correct option is 1x = 1, y = 2; x = 2, y = 7

Questions

The positive integral solution of $\tan^{- 1} x + \cos^{- 1} \frac{y}{\sqrt{1 + y^{2}}} = \sin^{- 1} \frac{3}{\sqrt{10}} is$

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x = 1, y = 2; x = 2, y = 7

x = 1, y = 3; x = 2, y = 4

x = 0, y = 0; x = 3, y = 4

none of these

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detailed solution

Correct option is A

Converting cos and sin into tan, we have,tan−1⁡x+tan−1⁡1y=tan−1⁡31⇒tan−1⁡x+1y1−x1y=tan−1⁡31⇒xy+1y−x=3∴ The equality is true forx = 1, y = 2 and for x = 2, y = 7

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The positive integral solution of tan−1⁡x+cos−1⁡y1+y2=sin−1⁡310 is

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The positive integral solution of $\tan^{- 1} x + \cos^{- 1} \frac{y}{\sqrt{1 + y^{2}}} = \sin^{- 1} \frac{3}{\sqrt{10}} is$