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

` ( cot ""(A)/(2) + cot ""(B)/(2)+ cot ""( C )/( 2))/( cot A + cot B + cot C ) =`

A

` (( a+b+c)^(2))/( a^(2) + b^(2) +c^(2))`

B

` ( a+b+c)/( a^(2) + b^(2) +c^(2))`

C

` ( a+b+c)/( a^(3) + b^(3) +c^(3))`

D

` ( a^(2) +b^(2) +c^(2) )/(( a + b +c)^(2))`

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AAKASH SERIES-PROPERTIES OF TRIANGLES-EXERCISE - II
  1. If a= ( b-c) sec theta " then " tan theta =

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

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

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

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

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

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  8. 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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  9. 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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  10. If in Delta ABC the sides a,b,c are in A.P. Then

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

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  12. In Delta ABC if b=20,c=21 and sin A=3//5, then a=

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  13. In Delta ABC, if sin A: sin C=sin (A-B): sin (B-C), then a^2,b^2,c^2 a...

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  14. If cot ""^(A)/(2) : cot ""(B) /(2) : cot "" ( C )/(2) = 1: 4: 15 , ...

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  15. If sin A : sin B : sin C = 3: 4: 5 then tan ""(A)/(2) : tan ""(B)/(2...

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  16. In Delta ABC, if tanA: tan B: tan C=1:2:3, then sin A: sin B: sin C=

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  17. In Delta ABC if a: b: c = 7 : 8: 9 , then cos A : cos B : cos C =

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  18. Area of triangle ABC is a^(2) - (b-c)^(2) then tan A =

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  19. a^(2) cot A+ b^(2) cot B+ c ^(2) cot C =

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  20. In a triangle , if the larger side is 7 and one of the angle is 120 ^...

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