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If tan A - tan B = x and cot B - cot A =...

If `tan A - tan B = x` and `cot B - cot A =y` , then what is `cot ( A -B)` equal to ?.............. A) `1/x +ya` B) `(1)/(xy)` C) `(1)/(x) -(1)/(y)` D) `(1)/(x) +1/y`

A

`1/x +y`

B

`(1)/(xy)`

C

`(1)/(x) -(1)/(y)`

D

`(1)/(x) +1/y`

Text Solution

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The correct Answer is:
D
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