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

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

A

`2sin(B-C)`

B

`2cosec(B-C)`

C

`2tan(B-C)`

D

`2cot(B-C)`

Text Solution

Verified by Experts

The correct Answer is:
B
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AAKASH SERIES-PROPERTIES OF TRIANGLES-PRACTICE SHEET (EXERCISE-II) (LEVEL-II) (Straight Objective Type Questions)
  1. In a DeltaABC,sum(b+c)tan""A/2tan((B-C)/2)=

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

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  3. In Delta ABC , if A = 3C " then " (a-c)/( 2c ) =

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  4. If in DeltaABC, A=B0C=60^(@) then (b-c)/(b+c)=

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  5. Which of the following statements is true If C = A - B = 60^(@) then...

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  6. In triangle ABC, a, b, c are the lengths of its sides and A, B C are t...

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  7. In a DeltaABC , "cot"(A)/(2)+"cot"+(B)/(2)+"cot"(C)/(2) is equal to

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

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  9. In Delta ABC, if cot""A/2: cot""B/2:cot ""C/2=1:4:15, then the greates...

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  10. If a:b:c: =3:5:5 then "cot"(A)/(2)":cot"(B)/(2):"cot"(C)/(2)=

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  11. In a DeltaABC,(a+b+c)(b+c-a)=lambdabc, then

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

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  13. In DeltaABC if a=(b-c)Sec theta then (2sqrt(bc))/(b-c)"Sin"(A)/(2)=

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  14. Statement -I : In Delta ABC , b cos ^(2) "" ( C)/(2) + c cos ^(2) ""...

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  15. In Delta ABC, if B=90^@ then tan""A/2=

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  16. Assertion (A) : In Delta ABC if angle B = pi//2 then the diameter o...

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  17. If cot ""(A)/(2) = 30 , Cot "" (B)/(2) = 50 , Cot "" ( C)/(2) = 70...

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  18. In a triangle ABC=(1)/((a-b)(a-c))tan A//2+(1)/((b-c)(b-a))tanB//2+(1)...

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  19. A triangular park is enclosed on two sides by a fence and on the third...

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  20. If the hypotenuse of a right angled triangle is four times the length ...

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