Ratio And Proportion - ConceptEra

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Ratio and Proportion

Q- Let us write what type of mixed ratio of a ratio and its inverse ratio?

Chapter: Ratio and Proportion

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Q- If x²−yz/a = y²−zx/b = z²−xy/c , let us prove that (a+b+c)(x+y+z) = ax+by+cz.

Chapter: Ratio and Proportion

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Q- If a/y+z = b/z+x = c/x+y , let us prove that a(b−c)/y²−z² = b(c−a)/z²−x² = c(a−b)/x²−y²

Chapter: Ratio and Proportion

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Q- If (a+b+c+d) : (a+b−c−d) = (a−b+c−d) : (a−b−c+d) , let us prove that , a : b = c : d.

Chapter: Ratio and Proportion

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Q- If a²/b+c = b²/c+a = c²/a+b = 1 , let us show that 1/(1+a) + 1/(1+b) + 1/(1+c) = 1

Chapter: Ratio and Proportion

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Q- If x² : (by+cz) = y² : (cz+ax) = z² : (ax+by) = 1 , let us show that , a/a+x + b/b+y + c/c+z = 1.

Chapter: Ratio and Proportion

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Q- If x/(xa+yb+zc) = y/(ya+zb+xc) = z/(za+xb+yc) and x+y+z ≠ 0 , let us show that each ratio is equal to 1/a+b+c

Chapter: Ratio and Proportion

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Q- If ax+by/a = bx−ay/b , let us show that each ratio is equal to x

Chapter: Ratio and Proportion

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Q- If (a+b)/(b+c) = (c+d)/(d+a) , let us prove that c = a or a+b+c+d = 0

Chapter: Ratio and Proportion

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Q- If x/b+c = y/c+a = z/a+b , let us show that a/y+z−x = b/z+x−y = c/x+y−z.

Chapter: Ratio and Proportion

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