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In reducing a given trignometric equatio...

In reducing a given trignometric equation to the standard form (sinx `=sin alpha)` or `( cosx = cos alpha)` etc. We apply several trignometric or Algebric transformation.As a result of which final form so obtained may not be equivalent to the original equation resulting either in loss of solutions or appearance of extraneous solutions.
The equation `2cot 2x-3 cot3x = tan 2x` has

A

Two solutions in `(0,pi/3)`

B

One solution in `(0,pi/3)`

C

No solution in (`-infty, infty)`

D

Three solutions in `(0,pi)`

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The correct Answer is:
C
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