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In the curve x^a y^b=K^(a+b) , prove tha...

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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A DAS GUPTA-Application of dy/dx-Exercise
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  12. The sum of the intercepts made on the axes of coordinates by any tange...

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  13. Prove that the tangent at any point on the rectangular hyperbola xy = ...

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  14. Show that the segment of the tangent to the curve y=a/2I n((a+sqrt(a^2...

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  15. If alpha, beta are the intercepts made on the axes by the tangent at a...

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  16. Show that the segment of the tangent to the hyperbola y = frac{a^2}{x}...

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  17. Find the value of n in N such that the curve (x/a)^n+(y/b)^n=2 touche...

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