If a curve passes through the point

Question:

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 :

  1. $-\frac{5}{2}$

  2. $\frac{5}{2}$

  3. $-\frac{3}{2}$

  4. $\frac{3}{2}$


Correct Option: , 3

Solution:

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