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In Delta ABC , a( b^(2) + c^(2) ) cos A...

In ` Delta ABC , a( b^(2) + c^(2) ) cos A +b ( c^(2) +a^(2)) cos B + c( a^(2) +b^(2)) cos C` =

A

` 3 abc^(2) `

B

`2a^(2) bc`

C

` 3abc`

D

` 3ab^(2) c`

Text Solution

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The correct Answer is:
C
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AAKASH SERIES-PROPERTIES OF TRIANGLES-EXERCISE - II
  1. In a triangle ABC, if B=30^@ and c=sqrt3b, then A can be equal to

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  2. In a Delta ABC, a (cos^2 B+cos^2 C)+cos A(c cos C+b cos B)=

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  3. In Delta ABC , a( b^(2) + c^(2) ) cos A +b ( c^(2) +a^(2)) cos B + c(...

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  4. (cos ^(2) ((B-C)/( 2)) )/( (b+c)^(2))+( sin ^(2)((B-C)/( 2)) )/( (b-c...

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  5. In DeltaABC,(b-c)/(b+c)cot""A/2+(b+c)/(b-c) tan""A/2=

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  6. If a=3,b =4,c= 5 ,then sin 2B is

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  7. If a cos ^(2) "" (C )/(2) +c cos ^(2) "" (A)/(2) = (3b)/( 2 ) " th...

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  8. In Delta ABC , if cos A + 2 cos B + cos C = 2 then a,b,c = in

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  9. If sin theta = a/(b+c) then show that cos theta = (2sqrt(bc))/(b+c) co...

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  10. If a= ( b-c) sec theta " then " tan theta =

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  11. tan ""(A)/(2) + tan ""(B)/(2) + tan""(C )/(2) =

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  12. ( cot ""(A)/(2) + cot ""(B)/(2)+ cot ""( C )/( 2))/( cot A + cot B + ...

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  13. In a triangle ABC, if cot""A/2 cot""B/2=c, cot""B/2 cot""C/2=a and cot...

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  14. If (a+ b+ c) (b+ c-a) = kbc then

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  15. In Delta ABC ,if 5 cos C + 6 cos B = 4 and 6 cos A + 4 cos C = 5 " th...

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  16. In a triangle ABC, (s-a)/11=(s-b)/12=(s-c)/13, then tan^2 (A//2)=

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  17. In Delta ABC, if sin^2""A/2, sin^2""B/2,sin^2""C/2 are in H.P, then a,...

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  18. In Delta ABC, if tan A, tan B, tan C are in H.P., then a^2,b^2,c^2 are...

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  19. If in Delta ABC the sides a,b,c are in A.P. Then

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  20. If the altitudes of a triangle are in arithmetic progression, then the...

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