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The hormonic mean of r1 ,r2, r3 is...

The hormonic mean of `r_1 ,r_2, r_3` is

A

`3r`

B

`2R`

C

`R+r`

D

none

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The correct Answer is:
A
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ML KHANNA-PROPERTIES OF TRIANGLES -Problem Set (4)(MULTIPLE CHOICE QUESTIONS)
  1. In a triangle ABC, if (a-b)/(b-c)= (s-a)/(s-c), then r1,r2,r3 are in

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  2. If r1 , r2 , r3 in a triangle be in H.P. then the sides are

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  3. The hormonic mean of r1 ,r2, r3 is

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  4. In a triangle if angleC=90^@ " then " R+r=

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  5. In DeltaABC," if " angleC=90^(@)," then " (a+c)/(b)+(b+c)/(a) is equal...

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  6. The in- radius of the triarigle formed by the axes and the line 4x + 3...

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  7. In a triangle ABC , let angleC=(pi)/2. If r is the in-radius and R is ...

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  8. In a triangle ABC right angled at B, the inradius r is equal to

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  9. In an acute angled triangle which one of the following is true

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  10. Two sides of a triangle are 2 and sqrt3 and the included angle is 30^@...

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  11. Two sides of a triangle are the roots of the equation x^2 - 5x +6=0. I...

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  12. In a triangle ABC if r1=R, then

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  13. In a Delta ABC, show that (a cos A+b cos B+ c cos C)/(a+b+c)= (r )/(R...

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  14. Which of the following pieces of data does not uniquely determine an a...

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  15. If twice the square on the diameter of a circle is equal to sum of the...

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  16. (r1-r)(r2+r3)=?

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  17. Show that, 4 R r cos ""A/2cos ""B/2 cos ""C/2 =S

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  18. if cos A+cosB+cosC=1+4sin(A/2).sin(B/2).sin(C/2) then cos A+cosB+co...

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  19. In a !ABC cos^(2)A/2+cos^(2)B/2+cos^(2)C/2=

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  20. r1/(bc)+r2/(ca)+r3/(ab)=

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