Q. 8

Mark the correct alternative in each of the following:

The equation of the curve whose slope is given by x > 0, y > 0 and which passes through the point (1, 1) is

A. x2 = y

B. y2 = x

C. x2 = 2y

D. y2 = 2x

Answer :

Slope of the curve is given by


By Variable separable



Integrating both sides





log x + log y = log xy


-- (1)


Since curve passes through the point (1, 1), we get


1=C.1


C=1


Putting value of C in (1) we get,


x=√y


Squaring both sides


x2 = y


=(A)

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