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Q.

The curve in which the slope of the tangent at any point equals the ratio of the abscissa to the ordinate of the point, is

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a

an ellipse

b

a rectangular hyperbola

c

a parabola 

d

a circle

answer is C.

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Detailed Solution

We have,

dydx=xy⇒ydy=xdx⇒y22=x22−C

⇒y2−x2=2C, which is a rectangular hyperbola

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