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In a triangle ABC, r^2+r1^2+r2^2+r3^2+a^...

In a triangle ABC, `r^2+r_1^2+r_2^2+r_3^2+a^2+b^2+c^2`is equal to (where r is inradius and `r_1,r_2,r_3` are exradil a,b,c are the sides of `DeltaABC`)

A

`2R^2`

B

`4R^2`

C

`8R^2`

D

`16R^2`

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The correct Answer is:
D
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PATHFINDER-SOLUTION OF TRIANGLE AND HEIGHT AND DISTANCE-QUESTION BANK
  1. In a triangle ABC, if cotA =(x^3+x^2+x)^(1//2, cotB =(x+x^-1+1)^(1//2)...

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  2. If the sine of the angles of DeltaABCsatisfy the equationc^3x^3-c^2(a+...

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  3. In a triangle ABC, r^2+r1^2+r2^2+r3^2+a^2+b^2+c^2is equal to (where r ...

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  4. If in a triangle (1-r1/r2)(1-r1/r3)=2,then the triangle is

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  5. If I is the incenter of DeltaABC, then the ratio IA:IB:IC is equal t...

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  6. If in a DeltaABC , a^2cos^2A=b^2+c^2, then

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  7. In any DeltaABC, prod(sin^2A+sinA+1)/sinA is always greater than

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  8. In any triangle ABC,sum(sin^2A+sinA+1)/sinAis always greater than

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  9. In DeltaABC, the value of ((r1+r2)(r2+r3)(r3+r1))/(R(s)^(2) is

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  10. If in a triangle (s-a)/11=(s-b)/12=(s-c)/13, then tan^2(A/2)

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  11. If in a triangle ABC, angleB=60^@,then

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  12. Given an isosceles triangle with equal sides of length b,base angle a...

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  13. In DeltaABC,A=15^@,b =10sqrt2cm the value of 'a' for which these will ...

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  14. In DeltaABC, a=5,b=4,A=(pi/2)+B, thenC

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  15. If tanA, tanB are the roots of the quadratic abx^2-c^2x+ab=0, where a,...

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  16. There exist a triangle ABC satisfying

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  17. In a DeltaABC,tanClt 0. Then

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  18. If the since of the angles A and B of a triangle ABCsatisfy the equati...

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  19. In a DeltaABC tanA and tanB satisfy the equation sqrt3x^2-4x+sqrt3lt0...

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  20. For a triangle ABC, which of the following is true?

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