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Question

If in a triangle, A and B are acute angles such that cosA=cosB, then, is A=B?

A
Yes
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B
No
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C
Ambiguous
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D
Data insufficient
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Solution

Correct option is A. Yes.

Let ACB be a right angled triangle at point C.
Now, ATQ,
cosA=cosB
ACAB=BCAB
AC=BC
ABC=BAC [As angles opposite to equal sides are equal]
Hence, A=B

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