Q. 45.0( 1 Vote )

Mark the Correct alternative in the following:

If a is any real number, the number of roots of cot x – tan x = a in the first quadrant is (are).

A. 2

B. 0

C. 1

D. None of these

Answer :



1-tan2x=a tan x


tan2x+a tan x – 1 = 0




As it is given a be any real number take a=0,


For a=0



Tan x = +1 or -1


In first quadrant only tan(π/4)=1


So, there is only one root that lies in the first quadrant.


Option C

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