If ^ -1 x- ^ -1 y= ^ -1 A, then A is equal to: - Vidyadip

MCQ

If $\tan^{-1}\text{x}-\tan^{-1}\text{y}=\tan^{-1}\text{A},$ then $A$ is equal to:

A
$\text{x}-\text{y}$
B
$\text{x}+\text{y}$
✓
$\frac{\text{x}-\text{y}}{1+\text{xy}}$
D
$\frac{\text{x}+\text{y}}{1-\text{xy}}$

✓

Answer

Correct option: C.

$\frac{\text{x}-\text{y}}{1+\text{xy}}$

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