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In DeltaABC, if r(1) lt r(2) lt r(3) the...

In `DeltaABC, if r_(1) lt r_(2) lt r_(3)` then

A

`a lt b lt c`

B

`a gt b gt c`

C

`blt a lt c`

D

`a lt c lt b`

Text Solution

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The correct Answer is:
A
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AAKASH SERIES-PROPERTIES OF TRIANGLES-PRACTICE SHEET (EXERCISE-III) (LEVEL-I) (Straight Objective Type Questions)
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  2. In Delta ABC, if r:R:r1=2:5:12, then A=

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  3. In DeltaABC, if r(1) lt r(2) lt r(3) then

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  4. In a triangle ABC, if (1)/(r(1)^(2))+(1)/(r(3)^(2))+(1)/(r^(2))=

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  5. If (r)/(r(2))=(r(1))/(r(3)) then

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  6. If the sides of the triangle are 13,14,15 then the radius of the incir...

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  7. In Delta ABC , with usual notation observe the two statements given ...

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  8. In DeltaABC if r(1)-r=r(2)+r(3) then

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  9. If a,b,c, are in A.P then r(1),r(2),r(3) are in

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  10. r+r(3)+r(1)-r(2)=

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  11. If the sides of a triangle ABC are 6,8,10 units, then the radius of it...

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  12. In triangle ABC, if r(1)=3, r(2)=10, r(3)=15 then R=

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  13. If the diameter of any excircle of a triangle is equal to its perimete...

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  14. In DeltABC, if sqrt(3)r+a= sqrt(3)r+b=s then the triangle is

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  15. In DeltaABC right angled at A cos^(-1)((R)/(r(1)+r(3))) is

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  16. If A, A(1),A(2),A(3) are areas of excircles and incircle of a triangle...

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  17. If 2R+r=r(1) then

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  18. If r(1)=8, r(2)= 12r(3)=24 then C=

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  19. The ratio between the circumradius and invadius of a right angled isos...

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  20. Prove that (r(1)(r(2)+r(3)))/(sqrt(r(1)r(2)+r(2)r(3)+r(3)r(1)))=a

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