Mathematics

Problem

If a curve passes through the point

\left(2, \frac{7}{2}\right)

and has slope

\left(1 - \frac{1}{x^2}\right)

at any point

(x, y)

on it, then the ordinate of the point on the curve whose abscissa is

-2

is : [JEE-Main (On line)-2013] (1)

-\frac{5}{2}

(2)

\frac{5}{2}

(3)

-\frac{3}{2}

(4)

\frac{3}{2}