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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

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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 foi 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 saix 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. A triangle is inscribed in a circle. The vertices of the triangle divi...

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  11. If a,b and c are the sides of a traiangle such that b.c =lamda ^(2), t...

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  12. In a triangle ABC, AD is the altitude form- abcA (Fig. 12.9). Given b...

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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. The sides of a triangle are in AP. If the angles A and C are the great...

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  17. If in Delta ABC, c(a+b) cos ""B/2=b (a+c) cos ""C/2, the triangle is

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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. If in a DeltaABC, AD, BE and CF are the altitudes and R is the circumr...

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