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If R is the circumradius of equilateral ...

If R is the circumradius of equilateral traingle `DeltaABC` then circumradius of the ex-central triangle is equal to

A

`(R)/(2)`

B

2R

C

`R^(2)`

D

`sqrt(R)`

Text Solution

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The correct Answer is:
B
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AAKASH SERIES-REVISION EXERCISE-PROPERTIES OF TRIANGLES
  1. In triangle ABC, range of (a^(2)+b^(2)+c^(2))/(ab+bc+ca) is (a,b,c are...

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  2. In DeltaABC, if AD is the altitude and O is the orthocentre of DeltaAB...

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  3. If R is the circumradius of equilateral traingle DeltaABC then circumr...

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  4. If alpha, beta, gamma are lenghts of internal bisectors of angles A,B,...

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  5. In DeltaABC, a=2b,|A-B|=(pi)/(3) then angle C=

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  6. In Delta ABC , if x=tan((B-C)/(2))tan.(A)/(2),y=tan((C-A)/(2))tan.(B)/...

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  7. In a triangle ABC, D and E are the mid-points of BC, CA respectively. ...

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  8. The alternate vertices of a regular hexagon are joined to form another...

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  9. In DeltaABC if r(1)=2r(1)=3r(3) and D is the mid point of BC then cos ...

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  10. If (sin 3B)/(sinB)=((a^(2)-c^(2))/(2ac)) then a^(2),b^(2),c^(2) are in

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  11. In DeltaABC if r(1)=R then

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  12. IF Delta ABC,if a tan A+b tan B=(a+b) tan ((A+B)/2), then the triangle...

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  13. In triangle ABC, D is mid point of BC, if 'AD' is perpendicular to 'AC...

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  14. The sides of a right angled triangle are in A.P then they are in the r...

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  15. If the bisector angle A of the triangle ABC makes an angle theta with ...

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  16. In DeltaABC, AD is the altitude from A, if b gt c, C=23^(0), AD=(abc)/...

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  17. In DeltaABC, a=6,b=4 and cos (A-B)=4//5 then its area is

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  18. In a triangle ABC, medians AD and BE are drawn.IF angle D=4, angle DAB...

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  19. If the area of an isosceles triangle is sqrt2+1are vertical angle is 4...

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  20. In DeltaABC, if a=7 b=8, c=9 then the distance from the vertex B to th...

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