class 11

Math

Co-ordinate Geometry

Conic Sections

A vertical line passing through the point $(h,0)$ intersects the ellipse $4x_{2} +3y_{2} =1$ at the points $P$ and $Q$.Let the tangents to the ellipse at P and Q meet at $R$. If $δ(h)$ Area of triangle $δPQR$, and $δ_{1}21 ≤h≤1max δ(h)$ A further $δ_{2}21 ≤h≤1min δ(h)$ Then $5 8 δ_{1}−8δ_{2}$