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Find the sum of the radii of the circles...

Find the sum of the radii of the circles, which are respectively inscribed and circumscribed about the a regular polygon of n sides.

A

`a/4 cot""pi/(2pi)`

B

`a cot""pi/n`

C

`a/2 cot""pi/(2pi)`

D

`a cot ""pi/(2pi)`

Text Solution

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The correct Answer is:
D
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OBJECTIVE RD SHARMA ENGLISH-PROPERTIES OF TRIANGLES AND CIRCLES CONNECTED WITH THEM-Chapter Test
  1. Prove that a(b^(2) + c^(2)) cos A + b(c^(2) + a^(2)) cos B + c(a^(2) +...

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  2. The angle of a right-angled triangle are in AP. Then , find the ratio ...

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  3. Find the sum of the radii of the circles, which are respectively inscr...

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  4. If 0 lt x lt pi/2 then

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  5. The sides of a triangle are 3x + 4y, 4x + 3y and 5x+5y units, where x ...

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  6. The perimeter of a triangle is 16 cm. One ofthe sides is of length 6 c...

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

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

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  9. Prove that (cos C + cos A)/(c + a) + (cos B)/(b) = (1)/(b)

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  10. If the sides of triangle a, b, c be in A.P. then tan.(A)/(2)+tan.(C )/...

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

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  12. if A+ B + C = pi, and cos A = cos B cos C, show that 2 cot B cot C=1.

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  13. Prove that a(b^(2) + c^(2)) cos A + b(c^(2) + a^(2)) cos B + c(a^(2) +...

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  14. 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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  15. In a triangleABC," if "C=60^(@)," then "(a)/(b+c)+(b)/(c+a)=

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

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  17. If a DeltaABC is right angled at B, then the diameter of the incircle ...

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  18. The angle of a right-angled triangle are in AP. Then , find the ratio ...

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  19. The angle of a triangle are in the ratio 1 : 2 : 7, prove that the rat...

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  20. In DeltaABC, let a=5, b=4 and cos (A-B=(31)/(32)), then which of the f...

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