If slope of the tangent of a curve at its point P(x, y) is 2y/x^2 and the curve passes through the centre of the circle x^2 + y^2 – 2x – 2y = 0

Question

If slope of the tangent at point (x, y) of curve y = f(x) is given by 2y/x² . If this curve passes through the centre of the circle x² + y² – 2x – 2y = 0 then the curve is :

(1)  xln(y) = 2(x-1)

(2)  x²ln(y) = 2(x-1)

(3)  x²ln(y) = (x-1)

(4)  xln(y) = (x-1)

Answer 1

Correct option  (1)  xln(y) = 2(x-1)

Explanation: