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(b-c)/acos^2 (A/2)+(c-a)/bcos^2(B/2)+(a-...

`(b-c)/acos^2 (A/2)+(c-a)/bcos^2(B/2)+(a-b)/c cos^2(C/2)=`

A

`2`

B

0

C

1

D

None of these

Text Solution

Verified by Experts

The correct Answer is:
B
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MOTION-SOLUTION OF TRIANGLE-EXERCISE -1
  1. In DeltaABC, if AB=5cm, BC=13cm and CA=12cm, then the distance to vert...

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  2. In triangle ABC , prove that (b+c)cos A +(c+a)cos B +(a+b)cos C=a+b+c.

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  3. (b-c)/acos^2 (A/2)+(c-a)/bcos^2(B/2)+(a-b)/c cos^2(C/2)=

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  4. Prove that bc cos^(2).(A)/(2) + ca cos^(2).(B)/(2) + ab cos^(2).(C)/(2...

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  5. In a triangleABC, [tan(A/2) tan(C/2)] is equal to

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  6. In A B C , the median A D divides /B A C such that /B A D :/C A D=2:1...

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  7. If the median AD of triangle ABC makes an angle pi/4 with the side BC,...

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  8. In a DeltaABC, A=(2pi)/3, b-c=3sqrt3 cm and area(DeltaABC)=(9sqrt3)/2 ...

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  9. If the area of triangleABC is triangle =a^(2) -(b-c)^(2), then: tanA =

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  10. If the sides of a triangles are 3:7:8, then ratio R:r

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  11. In a right angled triangle R is equal to

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  12. In a triangle a = 13 , b = 14, c = 15, r =

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  13. In an equilateral triangle, the inradius and the circumradius are conn...

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  14. In a triangle ABC, right angled at B, then

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  15. If the area of triangles is 100 sq. cm, r1= 10 cm and r2= 50 cm, then...

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  16. In a triangleABC, the inradius and three exradii are r,r1,r2" and "r3 ...

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  17. In a triangleABC if r1 lt r2 lt r3, then

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  18. In a triangle ABC, if (a-b)/(b-c)= (s-a)/(s-c), then r1,r2,r3 are in

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  19. If AD, BE and CF are the medians of a ABC ,then (AD^(2)+BE^(2)+CF^(2))...

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  20. In triangle ABC, line joining the circumcenter and orthocenter is para...

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