In the curve $x^{a} y^{b} = K^{a + b}$ , prove that the potion of the tangent intercepted between the coordinate axes is divided at its points of contact into segments which are in a constant ratio. (All the constants being positive).

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In the curve

x^{a} y^{b} = K^{a + b}

, prove that the potion of the tangent intercepted between the coordinate axes is divided at its points of contact into segments which are in a constant ratio. (All the constants being positive).

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Question Text

In the curve

x^{a} y^{b} = K^{a + b}

, prove that the potion of the tangent intercepted between the coordinate axes is divided at its points of contact into segments which are in a constant ratio. (All the constants being positive).

In the curve $x^{a} y^{b} = K^{a + b}$ , prove that the potion of the tangent intercepted between the coordinate axes is divided at its points of contact into segments which are in a constant ratio. (All the constants being positive).

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In the curve $x^{a} y^{b} = K^{a + b}$ , prove that the potion of the tangent intercepted between the coordinate axes is divided at its points of contact into segments which are in a constant ratio. (All the constants being positive).