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In a Delta A B C, if b+c=3a ,then cot(...

In a ` Delta A B C`, if `b+c=3a` ,then `cot(B/2)dotcot(C/2)` has the value equal to:

A

4

B

3

C

2

D

1

Text Solution

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The correct Answer is:
C
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MOTION-SOLUTION OF TRIANGLE-EXERCISE -1
  1. In a DeltaABC, (bc sin^2A)/(cos A + cos B cosC)is equal to

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  2. If R denotes the circum-radius of a Delta ABC, then (b^(2)-c^(2))/(2aR...

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  3. In a Delta A B C, if b+c=3a ,then cot(B/2)dotcot(C/2) has the value ...

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  4. In triangle ABC, (b-c)sin A+(c-a) sin B+( a-b) sin C=

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  5. In a Delta ABC, the value of (a cosA+b cosB+c cosC)/(a+b+c) is equal t...

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  6. If, in a triangleABC, (a+b+c)(b+c-a)=kbc, then k lies in the interval

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  7. In any DeltaABC, 2 (bc cos A + ca cos B + ab cos C) =

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  8. In a A B C if b=2,c=sqrt(3) and /A=pi/6 , then value of R is equal to

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  9. The distance between the middle point of BC and the foot of the perpen...

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  10. In DeltaABC, if AB=5cm, BC=13cm and CA=12cm, then the distance to vert...

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

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

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

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

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

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

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

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

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  20. In a right angled triangle R is equal to

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