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Ratio of area of the incircle to the are...

Ratio of area of the incircle to the area of triangle ABC

A

`(pi)/(sinA sinB sinC)`

B

`(pi)/("cot"(A)/(2)"cot"(B)/(2)"cot"(C)/(2))`

C

`(pi)/("cot"(A)/(2)"cot"(B)/(2)"cot"(C)/(2))`

D

`(pi)/(cosA cos B cosC)`

Text Solution

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The correct Answer is:
B
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AAKASH SERIES-REVISION EXERCISE-PROPERTIES OF TRIANGLES
  1. In DeltaABC, the joining the circumcentre and incenre is parallel to B...

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  2. The sum of the radii of inscribed and circumscribed circles for an n s...

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  3. Ratio of area of the incircle to the area of triangle ABC

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  4. If the area of the triangle ABC is a^(2)-(b-c)^(2) then its circumradi...

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  5. If for DeltaABC, cotA cotB cotC gt0 then the triangle is

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  6. In Delta ABC, if c(a+b) cos B//2=b (a+c) cos C//2, then the triangle i...

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  7. In DeltaABC if tan A+ c tan C=(a+c) not ((B)/(2)) then the triangle i...

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  8. The area of the right angled triangle in terms of its circum radius an...

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  9. The angle of elevation of the top of the tower observed from each of t...

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  10. ABC is a triangular park with AB=AC=100 meters. A clock tower is situa...

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  11. A Tower stands at the centre of a circular park. A and B are two point...

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  12. If each side of length a of an equilateral triangle subtends an angle ...

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  13. A pole of height h stands at one corner of a park in the shape of an e...

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  14. A tower of height h standing at the centre of a square with sides of l...

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  15. The elevation of a tower due north of a station A is alpha and at anot...

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  16. The height of the tower vertically at the ortho centre of the triangle...

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  17. Assertion (A) : In a Delta ABC if r(1)=2r(2)=3r(3) then a:b=5:4 Reas...

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  18. In any triangle ABC, r(1),r(2)+r(2)r(3)+r(3)r(1)=....

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  19. A person observes the top of a tower from a point A on the ground. the...

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  20. ABCD is a trapezium such that AB and CD are parallel and BC bot CD. If...

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