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In any !ABC b^(2)sin2C+c^(2)sin2B=...

In any `!ABC b^(2)sin2C+c^(2)sin2B=`

A

`!`

B

`2!`

C

`3!`

D

`4!`

Text Solution

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The correct Answer is:
D
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OBJECTIVE RD SHARMA-PROPERTIES OF TRIANGLES AND CIRCLES CONNECTED WITH THEM-Exercise
  1. If in a DeltaABC ,a sin A=b sin B, then the triangle, is

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  2. In any !ABC ,If cot(A/2),cot(B/2),cot(C/2) are in A.P.,then a,b,c are...

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  3. In any !ABC b^(2)sin2C+c^(2)sin2B=

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  4. If in a triangle ABC, (cosA)/a=(cosB)/b=(cosC)/c,then the triangle is

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  5. If in a triangleABC , Delta=a^(2)-(b-c)^(2),then tan A=

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  6. If the angles A,B,C of a triangle are in A.P.and sides a,b,c are in G....

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  7. In a triangle the lengths of the two larger are 10 and 9 respectively....

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  8. There can exist a triangle ABC satisfying the conditions :

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  9. In a triangle the length of the two larger sides are 24 and 22, respec...

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  10. If in a triangles a cos^(2)(C/2)+c cos^(2)(A/2)=(3b)/2, then the sides...

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  11. If twice the square of the diameter of the circle is equal to half the...

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  12. In a triangle ABC ,angle A is greater than B.If the measures of angles...

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  13. If in a triangle ABC , 2(cosA)/a+(cosB)/b+2(cosC)/c=a/(bc)+b/(ca), ...

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  14. If A gt 0 ,B gt 0 and A+B=pi/3,then the maximum value of tan A tan B ,...

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  15. If cos(theta-alpha),costheta,cos(theta+alpha) are in H.P.,then costhe...

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  16. If sin beta is the GM between sin alpha and cos alpha, then cos 2beta ...

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  17. If sinA=sin^2Band2cos^2A=3cos^2B then the triangle ABC is right angled...

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  18. If in a !ABC , (sinA+sinB+sinC)(sinA+sinB-sinC)=3sinAsinB then

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  19. In a !ABC , sin A + sin B + sin C = 1+sqrt2 and ,cos A +cos B +cos C =...

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  20. Point D,E are taken on the side BC of an acute angled triangle ABC,, s...

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