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If `A, A_(1), A_(2), A_(3)` are the areas of the inscribed and escribed of a `DeltaABC,` then

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VMC MODULES ENGLISH-PROPERTIES OF TRIANGLE-Level - 2
  1. Prove that the distance of the incentre of Delta ABC from A is 4R si...

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

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

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

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

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

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

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

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

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

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

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  12. If x=2/3 and x=-3 are the roots of the equation a x^2+7x+b=0, find the...

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  13. Statement I In a Delta ABC, if a lt b lt c and r is inradius and r(1) ...

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  14. Statement I If the sides of a triangle are 13, 14 15 then the radius o...

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  15. Statement I In a DeltaABC, sum (cos ^(2)""(A)/(2))/(a ) has the value...

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  16. If the sides of a triangle are in A.P., and its greatest angle exceeds...

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  17. If r(1), r(2) ,r(3) are the ex-radii of DeltaABC, then prove that (b...

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  18. If r and R are radii of the incircle and circum-circle of DeltaABC, t...

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  19. If A is the area and 2s is the sum of the sides of a triangle, then Al...

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  20. In DeltaABC, (a^(2)+b^(2))/(a^(2)-b^(2))=(sin(A+B))/(sin(A-B)), prove ...

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