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If r(1), r(2) ,r(3) are the ex-radii of ...

If `r_(1), r_(2) ,r_(3)` are the ex-radii of `DeltaABC,` then prove that
`(bc)/(r_(1))+(ca)/(r _(2))+(ab)/(r _(3))=2R [((a)/(b)+(b)/a)+((b)/(c)+(c)/(b))+((c)/(a)+ (a)/(c))-3]`

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VMC MODULES ENGLISH-PROPERTIES OF TRIANGLE-Level - 2
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  3. If r(1), r(2) ,r(3) are the ex-radii of DeltaABC, then prove that (b...

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  7. The sides of a triangle are in AP. If the angles A and C are the great...

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  8. perpendiculars are drawn from the angles A , Ba n dC of an acute-angle...

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  9. If cos theta=(a)/(b+c),cos phi=(b)/(a+c),cospsi=(c)/(a+b), where theat...

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  10. Given the base of a triangle, the opposite angle A, and the product k^...

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  11. If a,b,c are in HP, then prove that sin ^(2) ""(A)/(2), sin ^(2) ""(B)...

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  13. Consider the following statements concerning a DeltaABC (i) The sid...

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  14. Prove that a triangle A B C is equilateral if and only if tanA+tanB+ta...

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  15. Let ABC be a triangle having O and I as its circumcentre and incentre,...

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  16. Let ABC be a triangle with incenter I and inradius r. Let D, E, and F ...

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  17. If In is the area of n-s i d e d regular polygon inscribed in a cir...

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  18. In a DeltaABC, if r(1) +r=r(2), then find the vlaue of (sec ^(2) A + c...

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  19. In DeltaABC, let b=6, c=10and r(1) =r(2)+r(3)+r then find area of Delt...

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