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For any triangle ABC, ((a+b+c)(b+c-a)(c...

For any triangle ABC,
`((a+b+c)(b+c-a)(c+a-b)(a+b-c))/(4b^2c^2)`is equal to

A

cos^2A

B

sin^2A

C

cosAcosBcosC

D

none of these

Text Solution

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The correct Answer is:
B
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PATHFINDER-SOLUTION OF TRIANGLE AND HEIGHT AND DISTANCE-QUESTION BANK
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  2. ABCD is a trapezium such that AB,DC.are parallel and BC is perpendicul...

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  3. For any triangle ABC, ((a+b+c)(b+c-a)(c+a-b)(a+b-c))/(4b^2c^2)is equa...

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  4. In DeltaABC, if a =5,b=4 and cos (A-B)=31/32,then the perimeter of tr...

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  5. If in triangle ABC,cot(A/2)=(b+c)/a, then the triangleABC is

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  6. In a triangleABC, tan(A/2)=5/6,tan(C/2)=2/5. Then which of the followi...

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  7. In a triangle ABC , c^2=a^2+b^2 ,2s=a+b+c. Then 4s(s-a)(s-b)(s-c)is e...

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  8. In a triangle ABC, acosA=bcosB. Then the triangle is

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  9. Sides of a triangle ABC are in A.P. If a lt min{b,c},then cosA may be ...

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  10. Angles A, Band C of a triangle ABC are in A.P.If b/c=sqrt3/sqrt2, then...

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  11. In a triangleABC, bccotA+cacotB+c abcotC is equal to ?

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  12. In a triangle ABC, (acosA+bcosB+ccc cosC)/(a+b+c) is equal to

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  13. In a triangle ABC, angleB = pi/3 and angleC= pi/4. Let D divide side B...

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  14. If in a triangle ABC,(2cosA)/a+(cosB)/b+(2cosC)/c=a/(bc)+b/(ac), then ...

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  15. If the bisector of angle A of triangle ABC makes an angle theta with ...

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  16. If P is a point on the altitude AD of the triangle ABC such that ang...

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  17. For a regular of n sides, sides are a , and circum radius is R and in-...

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  18. If p1,p2,p3 are altitudes of a triangle ABC from the vertices A,B,C re...

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  19. In a triangle if the sum of two sides is x and this product is y(ge2sq...

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  20. If P1P2P3are altitude of a triangle which circumscribes a circle of ...

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