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

Question

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

Philoid · Accepted 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)

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

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