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If a triangle of maximum area is inscrib...

If a triangle of maximum area is inscribed within a circle of radius R, then

A

`S=2R^2`

B

`1/r_1 +1/r_2+1/r_3 = (sqrt2+1)/R`

C

`r=(sqrt2-1)R`

D

`s=(1+sqrt2).2R`

Text Solution

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The correct Answer is:
B
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ML KHANNA-PROPERTIES OF TRIANGLES -Problem Set (4)(MULTIPLE CHOICE QUESTIONS)
  1. (1/r1 + 1/r2)(1/r2 + 1/r3)(1/r3 + 1/r1)=

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  2. prove that : triangle ABC, 1/r1+1/r2+1/r3=1/r

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  3. If a triangle of maximum area is inscribed within a circle of radius R...

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  4. Prove that : (r1-r)/(a) +(r2-r)/(b) = (c )/(r3).

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  5. (r1+r2)(r2+r3)(r3+r1)=

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  6. 1/(bc)+1/(ca)+1/(ab)=

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  7. (r1)/((s-b)(s-c))+(r2)/((s-c)(s-a))+(r3)/((s-a)(s-b))=

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  8. In A B C ,(a b-r1r2)/(r3),w h e r ea ,b ,r1r2, r3, Randr have usual me...

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  9. Value of the expression (b-c)/(r1)+(c-a)/(r2)+(a-b)/(r3) is equal to 1...

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  10. If in a triangle (1-(r(1))/(r(2)))(1-(r(1))/(r(3)))=2, then the trian...

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  11. If the sides of a triangle are in A.P. as well as in G.P. then the val...

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  12. If r1=r2+r3+r prove that the triangle is right angled .

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  13. If in Delta ABC, 8R^(2) = a^(2) + b^(2) + c^(2), then the triangle ABC...

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  14. In a triangle ABC, if (a-b)/(b-c)= (s-a)/(s-c), then r1,r2,r3 are in

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

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

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

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

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

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

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