The curve passing through the point (1 ,2 ) given that the slope of the tangent at any point (x ,y ) is 2x/y represents

Question

Accepted Answer

Correct answer: C. (c) : We have, slope of curve =2x/y ⇒ dy dx= 2xy ⇒ ydy= 2 xdx ⇒y^2=2x^2+C (i) Now, (i) passes through (1 ,2 ). ∴ 4=2+C ⇒C=2 So, the required curve is, y^2-2x^2=2 ⇒ y^22- x^21=1, which represents hyperbola.

$The curve passing through the point (1, 2) given that the slope of the tangent at any point (x, y) is 2 x / y represents$

Solution

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