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

`r+r_(3)+r_(1)-r_(2)=`

A

`4R cosA`

B

`4R cosB`

C

`4R cosC`

D

4R

Text Solution

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The correct Answer is:
B
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AAKASH SERIES-PROPERTIES OF TRIANGLES-PRACTICE SHEET (EXERCISE-III) (LEVEL-I) (Straight Objective Type Questions)
  1. In DeltaABC if r(1)-r=r(2)+r(3) then

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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  18. (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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  19. In DeltaABC" prove that "cos^(2).(A)/(2)+cos^(2).(B)/(2)+cos^(2).(C)/...

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  20. In Delta ABC, the correct formule among the following are Statemen...

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