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-tan^{2}x=a tan x

tan^{2}x+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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