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In any triangle ABC sum (sin^2A+sinA+1)/...

In any triangle ABC `sum (sin^2A+sinA+1)/sinA` is always greater than or equal

A

9

B

3

C

27

D

None of these

Text Solution

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The correct Answer is:
C
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ARIHANT MATHS-PROPERTIES AND SOLUTION OF TRIANGLES -Exercise (Single Option Correct Type Questions)
  1. If a, b,c be the sides of a triangle ABC and if roots of equation a(b-...

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  2. The ratio of the area of a regular polygon of n sides inscribed in a c...

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  3. In any triangle ABC sum (sin^2A+sinA+1)/sinA is always greater than or...

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  4. If the incircel of the triangle ABC, through it's circumcentre, then t...

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  5. The perimeter of a triangle ABC is six times the arithmetic mean of ...

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  6. If there are only two linear functions f and g which map [1,2] on [4,6...

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  7. A circle is inscribed in an equilateral triangle of side adot The area...

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  8. In any triangle ABC, if sin A , sin B, sin C are in AP, then the maxim...

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  9. In a DeltaABC, 2 cos A=(sin B)/(sin C) and 2 ^(tan^(2)B) is a solution...

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  10. Differentiate the following w.r.t x sin^(-1)(x^(3/2))

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  11. If a,b and c arethe sides of a traiangle such that b.c =lamda ^(2), th...

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  12. Differentiate the following w.r.t x cos(acosx + bsinx) , for som...

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  13. In triangle ABC, a=5, b=4 and cos(A+B)=(31)/(32) In this triangle,c=

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  14. In a A B C ,ifA B=x , B C=x+1,/C=pi/3 , then the least integer value ...

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  15. In an equilateral triangle, three coins of radii 1 unit each are kept ...

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  16. Differentiate the following w.r.t x 2x^((x^4-3))

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  17. Differentiate the following w.r.t x x^x + a^a

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  18. In a triangle ABC , the line joining the circumcentre and incentre is ...

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  19. In the given figure, AB is the diameter of the circle, centered at O. ...

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  20. In a triangle ABC, AD, BE and CF are the altitudes and R is the circum...

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