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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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Verified by Experts

The correct Answer is:
`=2R[((a)/(b)+(b)/(a))+((b)/(c)+(c)/(b))+((c)/(a)+(a)/(c))-3]`
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ARIHANT MATHS-PROPERTIES AND SOLUTION OF TRIANGLES -Exercise (Questions Asked In Previous 13 Years Exam)
  1. If r(1), r(2) ,r(3) are the ex-radii of DeltaABC, then prove that (b...

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  2. Prove that 2sin^2(pi/6) - sec^2(pi/3)= -7/2

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  3. In a triangle the sum of two sides is x and the product of the same is...

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  4. Consider a triangle A B C and let a , b and c denote the lengths of th...

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  5. Solution of differential equation 2xy dy / dx = x^2 + 3y^2 is .

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  6. Let PQR be a triangle of area Delta with a = 2, b = 7//2, and c = 5//2...

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  7. If the angle A ,Ba n dC of a triangle are in an arithmetic propression...

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  8. Let A B C be a triangle such that /A C B=pi/6 and let a , b and c deno...

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  9. A triangle A B C with fixed base B C , the vertex A moves such that co...

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  10. Let A B Ca n dA B C ' be two non-congruent triangles with sides A B=4,...

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  11. A straight line through the vertex P of a triangle P Q R intersects th...

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  12. Consider the circle x^2 + y^2 = 9 and the parabola y^2 = 8x. They inte...

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  13. Consider the circle x^2 + y^2 = 9 and the parabola y^2 = 8x. They inte...

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  14. Consider the circle x^2 + y^2 = 9 and the parabola y^2 = 8x. They inte...

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  15. Internal bisector of /A of triangle ABC meets side BC at D. A line dra...

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  16. One angle of an isosceles triangle is 120^0 and the radius of its incr...

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  17. In Delta ABC, which one is true among the following ?

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  18. Let a vertical tower A B have its end A on the level ground. Let C be ...

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  19. ABCD is a trapezium such that AB and CD are parallel and BC bot CD. If...

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  20. For a regular polygon, let r and R be the radii of the inscribed and t...

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  21. In triangle A B C , let /c=pi/2dot If r is the inradius and R is circu...

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