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Prove that ((a+b+c)(b+c-a)(c+a-b)(a+b-c)...

Prove that `((a+b+c)(b+c-a)(c+a-b)(a+b-c))/(4b^2c^2)=sin^2A`

A

`cos ^(2)A`

B

`sin^(2)A`

C

`cos A cos B cos C`

D

None of these

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ARIHANT MATHS-PROPERTIES AND SOLUTION OF TRIANGLES -Exercise For Sesssion 1
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  2. In DeltaABC, a=4, b =12 and B=60^(@), thn the vlaue of sin A is

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  3. Let ABC be a triangle such that angle A =45^(@) , angle B =75^(@), the...

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  4. Angles A,B and C of a DeltaABC are in AP. If b/c =(sqrt3)/(sqrt2), the...

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  5. If cot ""A/2 =(b+c)/(a),then DeltaABC is

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  6. If in a DeltaABC, (a^(2)-b^(2))/(a ^(2)+b^(2))=(sin (A-B))/(sin (A+B))...

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  7. In any triangle A B C , prove that: (a^2sin(B-C))/(sinB+s in C)+(b^2si...

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  8. In any DeltaABC, is 2 cos B=a/c, then the triangle is

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  9. Prove that ((a+b+c)(b+c-a)(c+a-b)(a+b-c))/(4b^2c^2)=sin^2A

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  10. If a cos A =b cos B, then the triangle is

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  11. In a Delta ABC, (a+b+c) (b+c-a) = gamma bc if

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  12. If : a = 9, b = 8 and c = x satisfies 3 cos C = 2, then : x =

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  13. In DeltaABC, if sin^2 A+ sin^2 B = sin^2 C, then the triangle is

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  14. The lengths of the sides of a triangle are alpha-beta, alpha+beta and ...

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  15. In any triangle, (1+ cos (A-B)cos C)/(1+cos (A-C)cos B)=

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  16. The sides a, b, c of a triangle ABC are in arithmetic progression and ...

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  17. In a DeltaABC, a ^(2) cos 2B+b^(2) cos 2A+2ab cos (A-B)=

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  18. In any DeltaABC, 2 [bc cos A + ca cos B+ ab cos C]=

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  19. In a DeltaABC, tan ""1/2 (A+B) . Cot""1/2(A-B) is equal to

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  20. If in a Delta ABC, b =sqrt3, c=1 and B-C =90^(@), then angle A is

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