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Question


In ΔABC if, sinBsinC=2cosA then the triangle is

A
right angled
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B
isosceles
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C
equilateral
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D
scalene
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Solution

The correct option is B isosceles
sinB=2cosAsinC
sinB=sin(A+C)sin(AC)
sinB=sin(πB)sin(AC)
sin(AC)=0
AC=0
A=C

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