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If the sides of the triangle are the roots of the equation `x^(3)-2x^(2)-x-16`=0, then the product of the in-radius and circum-radius of the triangle ,is

A

3

B

6

C

4

D

2

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The correct Answer is:
C
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OBJECTIVE RD SHARMA-PROPERTIES OF TRIANGLES AND CIRCLES CONNECTED WITH THEM-Exercise
  1. In any triangle ABC ,(tanA/2-tanB/2)/(tanA/2+tanB/2) is equal to

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  2. If the sides a,b and c of a !ABC are in A.P.,then (tanA/2+tanC/2):co...

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  3. If the sides of the triangle are the roots of the equation x^(3)-2x^(...

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  4. If AD, BE and CF are the medians of a ABC ,then (AD^(2)+BE^(2)+CF^(2))...

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  5. If a DeltaABC is right angled at B, then the diameter of the incircle ...

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  6. If a^(2),b^(2),c^(2) are in A.P.,then which of the following is also i...

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  7. If in a !ABC , sin^(3)A+sin^(3)B+sin^(3)C=3sinAsinBsinC, then abs(...

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  8. If the ex-radii of a triangle are in H.P.,then the corresponding sides...

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  9. If I is the incentre of a !ABC , then IA:IB:IC is equal to

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  10. In a !ABC ,the HM of the ex-radii is equal to

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  11. In a !ABC if r(1):r(2):r(3)=2:4:6, then a:b:c =

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  12. If in a !ABC,angleA=pi//3 and AD is a median , then

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

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  14. The base of a triangle is 80cm and one of the base angles is 60^(@).If...

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  15. In a !ABC if r(1)=16,r(2)=48 and r(3)=24, then its in-radius ,is

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  16. किसी triangleABC में सिद्ध करे कि ((a + b+ c)^(2))/(a^(2) + b^(2) +...

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  17. In a !ABC if a =26, b= 30 and cos C =63/65, then r(2) =

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  18. In a !ABC if a = 13, b =14 and c = 15, then reciprocals of r(1),r(2),r...

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  19. In a A B C , ifsinAa n dsinB are the roots of the equation c^2x^2-c(a...

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  20. If a,b,c denote the sides of a !ABC and the equations ax^(2)+bx+c=0 an...

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