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If in a Delta ABC, cot A + cot B + cot C...

If in a `Delta ABC`, `cot A + cot B + cot C = sqrt(3)` . Prove that triangle is equilateral

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VMC MODULES ENGLISH-PROPERTIES OF TRIANGLE-Level - 2
  1. If in a Delta ABC, cot A + cot B + cot C = sqrt(3) . Prove that trian...

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  2. In a triangle ABC , if 3a = b + c , then cot B/2 cot C/2 =

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  3. If p(1), p(2) and p(3) are the altitudes of a triangle from the ver...

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  4. If alpha, beta and gamma are the lengths of altitudes ABC and Delt...

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  5. Prove the questions a(r r(1) + r(2)r(3)) = b(r r(2) + r(3) r(1)) = ...

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  6. The value of 1/(r(1)^(2))+1/(r(2)^(2))+1/(r(2)^(3))+1/(r^(2)), is

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  7. In any Delta ABC, show that cos A+ cos B+ cos C = (1+ (r )/(R )).

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  8. Prove that (r(2) + r(3))/(1 + cos A) = (r(3) + r(1))/(1 + cos B) =...

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  9. If the lengths of the perpendiculars from the vertices of a triangle A...

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  10. Prove that the distance of the incentre of Delta ABC from A is 4R si...

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  11. The sides of a triangle are three consecutive natural numbers and its ...

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  12. If A, A(1), A(2), A(3) are the areas of the inscribed and escribed of ...

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  13. If in a triangle, (1-(r(1))/(r(2))) (1 - (r(1))/(r(3))) = 2, then the ...

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  14. In a triangle Delta ABC, prove the following : 2 abc cos.(A)/(2) co...

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  15. In a triangle Delta ABC, prove the following : (tan A//2)/((a-b)(a-...

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  16. If the angle opf a triangle are in the ratio 1:2:3, then show that the...

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  17. If a cosA=b cos B, then prove that either the triangle is isosceles or...

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  18. If in Delta ABC, c(a+b) cos ""1/2 B=b (a+c) cos ""1/2 C, the triangle ...

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  19. Let A, B be two points on the bank of a straight river, and C, D point...

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  20. In the ambiguous case, it two triangles are formed with a, b, A, then ...

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