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

In `DeltaABC if r_(1)-r=r_(2)+r_(3)` then

A

`A=90^(@)`

B

`B=90^(@)`

C

`C=90^(@)`

D

`A=45^(@)`

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

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

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

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

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

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

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

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  15. 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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  16. If a= 30, b = 18, c = 24 then the descending order of r1, r2,r3 ...

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  17. If a = 18 , b=24 , c=30 , find r(1) .

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  18. In DeltaABC, if C=90^(@) then R+r=

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  19. In DeltaABC,sqrt(rr1r2r3)/(2Rr(sinA+sinB+sinC)) =

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  20. (r+r(1))"tan"(B-C)/(2)+(r+r(2))"tan"(C-A)/(2)+(r+r(3))"tan"(A-B)/(2)=

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