Mathematics - Ellipse Question with Solution | TestHub

Let for two distinct values of $p$ the lines $y=x+p$ touch the ellipse $\mathrm{E}:\frac{{\mathrm{x}}^2}{4^2}+\frac{{\mathrm{y}}^2}{3^2}=1$ at the points A and B . Let the line $\mathrm{y}=\mathrm{x}$ intersect E at the points C and $D$. Then the area of the quadrilateral $ABCD$ is equal to