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In triangle ABC,a(b^2+c^2)cos A+b(c^2+a...

In triangle `ABC,a(b^2+c^2)cos A+b(c^2+a^2)cosB+c(a^2+b^2)cosC=`

A

abc

B

2abc

C

3abc

D

4abc

Text Solution

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The correct Answer is:
C
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OBJECTIVE RD SHARMA-PROPERTIES OF TRIANGLES AND CIRCLES CONNECTED WITH THEM-Chapter Test
  1. In a triangle ABC, cos A+cos B+cos C=

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  2. If A+B+C =pi, and cos A = cos B. cos C, then cot B. cot C =

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  3. In triangle ABC,a(b^2+c^2)cos A+b(c^2+a^2)cosB+c(a^2+b^2)cosC=

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  4. The sides of a triangle are x^2+x+1,2x+1,a n dx^2-1 . Prove that the g...

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  5. In a triangleABC," if "C=60^(@)," then "(a)/(b+c)+(b)/(c+a)=

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  6. In a triangleABC, if a,c,b are in A.P. then the value of (a cos B-b co...

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  7. If a triangle is right angled at B, then the diameter of the incircle ...

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  8. If the angle of a righta angled triangle are in A.P. then the ratio of...

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  9. If the angles of a triangle are in the ratio 7:2:1, then prove that th...

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  10. If in DeltaABC, a = 5, b = 4 and cos (A - B) = 31/32, then

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  11. In a triangleABC"if c"=(a+b) sin theta and cos theta=(ksqrtab)/(a+b),"...

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  12. In triangleABC," if"(s-a)/(Delta)=1/8, (s-b)/(Delta)=1/12 and (s-c)/(D...

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  13. In a triangle ABC if 2a=sqrt(3)b+c, then possible relation is

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  14. If in a triangle A B C ,acos^2(C/2)ccos^2(A/2)=(3b)/2, then the sides ...

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  15. The sides of a right angled triangle arein A.P, then they are in the ...

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  16. ln a triangle ABC, B=90^@ then the value of tan(A/2)=

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  17. ln a triangle ABC, B=90^@ then the value of tan(A/2)=

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  18. In a triangleABC" if "a=5, b=4 and tan""C/2=sqrt7/3"then c=

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  19. In a triangleABC, if angle C=60^(@) then (a)/(b+c)+(b)/(c+a)=

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  20. If p(1),p(2),p(3) are altitude of a triangle ABC from the vertices A,B...

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