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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,C
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ML KHANNA-PROPERTIES OF TRIANGLES -Self Assessment Test (Multiple Choise Questions)
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  2. r2 r3 + r3 r1 + r1 r2 =S^2 // r^2, true or false?

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

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  6. If r1, lt r2, lt r3 are the ex-radii of a right angled triangle and r1...

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  7. Given an isoceles triangle, whose one angle is 120^@ and radius of its...

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  9. Consider a triangle ABC and let a , b , and c denote the lengths of t...

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  12. In Delta ABC, cscA (sin B cos C + cos B sin C) =

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  13. If in a triangles a cos^(2)(C/2)+c cos^(2)(A/2)=(3b)/2, then the sides...

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  14. In triangleABC, If the anlges are in A.P., and b:c=sqrt(3):sqrt(2), t...

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  15. If the angles of a triangle are in the ratio 2 : 3 : 7 ,then the sides...

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  16. If in a right angled triangle the hypotenuse is four times as long as ...

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  17. If the lengths of the sides of a triangle are 3, 5, 7, then its larges...

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  18. In a triangle ABC, right angled at C, find the value of tan A + tan B ...

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