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In an acute angle triangle ABC r+r(1)=r(...

In an acute angle triangle ABC `r+r_(1)=r_(2)+r_(3) and angleB gt (pi)/(3)` then

A

`b+2c lt 2a lt 2b +2c`

B

`b+4c+ lt 4a lt 2b lt 4c`

C

`b+4c lt 4a lt 4b+4c`

D

`b+3c lt 3a lt 3b +3c`

Text Solution

Verified by Experts

The correct Answer is:
D
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AAKASH SERIES-PROPERTIES OF TRIANGLES-ADDITIONAL PRACTICE EXERCISE (LEVEL 1 (MAIN)) (Straight Objective Type Questions)
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  2. Let C be incircle of DeltaABC. If the tangents of lengths t(1),t(2) an...

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  3. In an acute angle triangle ABC r+r(1)=r(2)+r(3) and angleB gt (pi)/(3)...

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  4. If in triangle ABC, sum "sin"(A)/(2)=(6)/(5) and sum II(1)=9 (where l(...

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  5. In DeltaABC with usual notations if r=1, r(1)=7 and R=3, the DeltaABC ...

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  6. Which of the following expresses the circumference of a circle inscrib...

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  7. The area of the circle and the area of a regular polygon of n sides an...

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  8. In any triangle, the minimum value of r(1),r(2),r(3) l r^(3) is equal...

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  9. Statement 1: In any DeltaABC he maximum value of r(1)+r(2)+r(3)=9R//2 ...

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  10. Statement. 1: The incenter of triangle ABC is the orthocenter of the t...

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  11. Let l(1), l(2), l(3) be the lengths of the internal bisectors of angle...

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  12. Let ABC be a triangle. Also, let h(a) be the length of the altitude fr...

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  13. Statement-1: If a = 3, b = 7, c = 8, and internal angle bisector Al me...

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  14. Let ABCDEFGHIJKL be a regular dodecagon. Then the value of (AB)/(AF)+...

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  15. In DeltaABC the incircle touches the sides BC, CA, and AB, respectivel...

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  16. The area of a right triangle is 6864 sq.units. If the ratio of its leg...

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  17. In an Isosceles triangle ABC taken on the Base AC is a point M such th...

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  18. In circle of Delta^("le")ABC meets the side BC at D and ex-circle of D...

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  19. In an acute angled Delta^("le")ABC the circle on altitude AD as diamet...

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  20. A sector OABO of central angle theta is constructed in a circle with c...

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