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If alpha,beta,gamma, are lengths of the ...

If `alpha,beta,gamma`, are lengths of the altitudes of a triangle ABC with area `Delta `, then `Delta^2/R^2(1/alpha^2+1/beta^2+1/gamma^2)=`

A

` sin ^(2) A + sin ^(2) B + sin ^(2) C `

B

` Cos ^(2) A + Cos ^(2) B + cos ^(2)C `

C

` tan ^(2) A + tan ^(2) B + tan ^(2) C `

D

` cot ^(2) A + cot ^(2) B + cot ^(2) C `

Text Solution

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The correct Answer is:
D
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AAKASH SERIES-PROPERTIES OF TRIANGLES-EXERCISE - II
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  11. In Delta ABC, if sin A+sin B+sin C=1+sqrt2 and cos A+cos B+cos C=sqrt2...

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  12. If sin A= sin^2 B and 2 cos^2 A=3 cos^2 B, then the Delta ABC is

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