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In any !ABC , (Sigma)((sin^(2)A+sinA+1)/...

In any `!ABC , (Sigma)((sin^(2)A+sinA+1)/(sinA))` is always greater than

A

9

B

3

C

27

D

none of these

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The correct Answer is:
A
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OBJECTIVE RD SHARMA-PROPERTIES OF TRIANGLES AND CIRCLES CONNECTED WITH THEM-Exercise
  1. In an equilaterial triangle of side 2sqrt3 cms, the circum-radius ,is

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  2. If the angles of a triangle are in the ratio 1:2:3,the corresponding s...

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  3. In any !ABC , (Sigma)((sin^(2)A+sinA+1)/(sinA)) is always greater tha...

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  4. In any !ABC , (Sigma)((sin^(2)A+sinA+1)/(sinA)) is always greater tha...

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  5. In a right angled !ABC sin^(2)A+sin^(2)B+sin^(2)C=

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  6. In any DeltaABC if 2 cosB=a/c ,then the triangle ,is

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  7. If in a DeltaABC ,a sin A=b sin B, then the triangle, is

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

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

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

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

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

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

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

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

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

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

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  20. 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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