Statement-1: If

MATHEMATICS · Single correct · AP · AP Precalculus · Trigonometric and Polar Functions · Trigonometric and Polar Functions

Problem

Statement-1: If a>0,b>0,tan⁡−1(ax)+tan⁡−1(bx)=π2⇒x=aba > 0, b > 0, \tan^{-1}\left(\frac{a}{x}\right) + \tan^{-1}\left(\frac{b}{x}\right) = \frac{\pi}{2} \Rightarrow x = \sqrt{ab}. Statement-2: If m,n∈N,n≥mm, n \in N, n \geq m, then tan⁡−1(mn)+tan⁡−1(n−mn+m)=π4\tan^{-1}\left(\frac{m}{n}\right) + \tan^{-1}\left(\frac{n-m}{n+m}\right) = \frac{\pi}{4}. (a) Statement-1 is true, Statement-2 is true and statement-2 is correct explanation for statement-1 (b) Statement-1 is true, Statement-2 is true and statement-2 is not correct explanation for Statement-1 (c) Statement-1 is true, statement-2 is false (d) Statement-1 is false, statement-2 is true

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