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In a triangle ABC, AD, BE and CF are the...

In a triangle ABC, AD, BE and CF are the altitudes and R is the circum radius, then the radius of the circel DEF is

A

`R/2`

B

2R

C

R

D

`3/2 R`

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The correct Answer is:
A
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OBJECTIVE RD SHARMA ENGLISH-PROPERTIES OF TRIANGLES AND CIRCLES CONNECTED WITH THEM-Chapter Test
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  3. In a triangle ABC, AD, BE and CF are the altitudes and R is the circum...

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  4. If in a triangleABC=(a)/(cos A)=(b)/(cos B), then

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  5. In a triangleABC, s/R=

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  6. If in a triangleABC, A=pi/3 and AD is the median, then

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

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

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  10. If 0 lt x lt pi/2 then

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

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

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

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

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

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

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

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

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

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  20. 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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