Q. 29

Mark the correct alternative in each of the following:

The family of curves in which the subtangent at any point of a curve is double the abscissae, is given by

A. x = Cy2

B. y = Cx2

C. x2 = Cy2

D. y = Cx

Answer :


We are given,


The family of curves in which the subtangent at any point of a curve is double the abscissae




By variable separable we get,



Integrating both sides




log a + log b = log ab



Squaring both sides, we get



x = Cy2 = (A) Where K2 = C

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