Question

If tan ao - tan b0 = 0, then the values of e for a series in (A) A.P. (B) G.P. (C) H.P. (D) None of these

JEE/Engineering Exams

Maths

Solution

164

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( begin{aligned} tan a theta-tan b theta=0 & text { a) tan } a theta text { fan } b theta quadleft[D_{0} tan theta-tan alpha_{1} theta=n x+alpharight] & Rightarrow a theta=n pi+b theta & Rightarrow theta[a-b]=n pi=theta=frac{n pi}{a-b} Rightarrow theta &=0, frac{pi}{a-b} quad 2 frac{2 pi}{a-b} cdots Rightarrow text { It is an } A P end{aligned} )