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Question

In triangle ABC, line joining the circumcentre and orthocentre is parallel to side AC,then cosA+cosC is equal to

A
-1
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B
1
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C
-2
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D
2
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Solution

The correct option is B 1
Given , line joining orthocentre and circumcentre to side AC
We know RcosB=r,rR=cosB
rR=4sinA2sinB2sinC2=cosBcosA+cosB+cosC1=cosBcosA+cosC=1

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