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Question

If in a ABC,2 cos A sin C=sin B, Then the triangle is

A

Equilatenal

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B

Isoseeles

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C

Right Angled

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D

None of these

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Solution

The correct option is B

Isoseeles


2cos A sin C=sin(C+A)
=sin C.cos A+cos C.sin A
cos A sin Csin A cos C=0
sin(CA)=0
C=A

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