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
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)