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Question

If sin A and sin B of a ΔABC satisfy c2x2c(a+b)x+ab=0 then the triangle is


A

equilateral

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B

isosceles

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C

right angled

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D

acute angled

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Solution

The correct option is C

right angled


sin A+sin B=c(a+b)c2=a+bc

sin A sin B=abc2

sin A=a2R,sin B=b2R

a+b2R=a+bc

c=2R

right angled


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