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In a DeltaABC , (b^(2)-c^(2))/(asecA)+...

In a `DeltaABC` ,
`(b^(2)-c^(2))/(asecA)+(c^(2)-a^(2))/(bsecB)+(a^(2)-b^(2))/(csecC)=`

A

1

B

0

C

abc

D

none of these

Text Solution

Verified by Experts

The correct Answer is:
B
Using Cosine formulae, we have
`(b^(2)-c^(2))/(asecA)+(c^(2)-a^(2))/(bsecB)+(a^(2)-b^(2))/(csecC)`
`((b^(2)-c^(2))(b^(2)+c^(2)-a^(2))+(c^(2)-a^(2))(c^(2)+a^(2)-b^(2))+(a^(2)-b^(2))(a^(2)+b^(2)-c^(2)))/(2abc)=0`
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OBJECTIVE RD SHARMA-PROPERTIES OF TRIANGLES AND CIRCLES CONNECTED WITH THEM-Chapter Test
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  14. Two sides of a triangle are 2sqrt2 and 2sqrt3cm and the angle opposite...

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  15. In a triangleABC, a=13cm, b=12 and c=5cm The distance of A from BC is

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  16. In a triangleABC,B=pi/8, C=(5pi)/(8). The altitude from A to the side ...

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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. In DeltaABC if a=(b-c)sectheta then (2sqrt(bc))/(b-c)sin(A/2)=

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  19. In a DeltaABC, (a + b + c) (b + c - a) = lambda bc. (where symbols ha...

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  20. If in DeltaABC, a=2b and A=3B, then A is equal to

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