A vertical line passing through the point $\left(h,0\right)$ intersects the ellipse $\frac{x^2}{4}+\frac{y^2}{3}=1$ at the points $P$ and $Q$.Let the tangents to the ellipse at P and Q meet at $R$. If $\delta \left(h\right)$ Area of triangle $\delta PQR$, and ${\delta }_1\underset{\frac{1}{2}\le h\le 1}{\max }\delta \left(h\right)$ A further ${\delta }_2\underset{\frac{1}{2}\le h\le 1}{\min }\delta \left(h\right)$ Then $\frac{8}{\sqrt{5}}{\delta }_1-8{\delta }_2$

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