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If in a triangleABC, A=pi/3 and AD is th...

If in a `triangleABC, A=pi/3 and AD` is the median, then

A

`2AD^(2)=b^(2)+c^(2)+bc`

B

`4AD^(2)=b^(2)+c^(2)+bc`

C

`6AD^(2)=b^(2)+c^(2)+bc`

D

none of these

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The correct Answer is:
B
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OBJECTIVE RD SHARMA-PROPERTIES OF TRIANGLES AND CIRCLES CONNECTED WITH THEM-Chapter Test
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  2. In a triangleABC, s/R=

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  3. If in a triangleABC, A=pi/3 and AD is the median, then

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  4. If any triangleABC, the value of a(b^(2)+c^(2))cos A+b(c^(2)+a^(2))cos...

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  5. If the angle of a right angled triangle are in A.P. then the ratio of ...

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  6. The sum of the radii of inscribed and circumscribed circle of an n sid...

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  7. If 0 lt x lt pi/2 then the largest angle of a triangle whose sides are...

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  8. The sides of a tringle are 3x+4y, 3y and 5x+5y where x,y gt0, then the...

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  9. The perimeter of a triangle is 16 cm. One of the sides is of length 6 ...

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  10. In a triangleABC," if "(a)/(b^(2)-c^(2))+(c)/(b^(2)-a^(2))=0," then "a...

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  11. In a triangleABC, a^(2) sin 2C+c^(2) sin 2A=

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  12. In a triangleABC, (cos C+cos A)/(c+a)+(cos B)/(b)=

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  13. In in a triangle ABC, sides a,b,c are in A.P. then tan""A/2 tan""C/2

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  14. In a triangle ABC, cos A+cos B+cos C=

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

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  16. 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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  17. 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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  18. In a triangleABC," if "C=60^(@)," then "(a)/(b+c)+(b)/(c+a)=

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

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

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