# Coordinate Geometry for JEE

**Geometry**Level 4

The tangent at any point \(P\) of the hyperbola \( \frac{x^{2}}{a^{2}} - \frac{y^{2}}{b^{2}} =1\) makes an intercept \(p\) between the axis of the hyperbola. \(\displaystyle p_{1} ,p_{2} \) are the lengths of perpendiculars drawn from the focii on the normal at \(P\) , then \( p\) is