Ellipse – JEE Advanced Previous Year Questions with Solutions

JEE Advanced Previous Year Questions of Math with Solutions are available at eSaral. Practicing JEE Advanced Previous Year Papers Questions of mathematics will help the JEE aspirants in realizing the question pattern as well as help in analyzing weak & strong areas.

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Tangents are drawn from the point $\mathrm{P}(3,4)$ to the ellipse $\frac{\mathrm{x}^{2}}{9}+\frac{\mathrm{y}^{2}}{4}=1$ touching the ellipse at points A and B

Let $\mathrm{F}_{1}\left(\mathrm{x}_{1}, 0\right)$ and $\mathrm{F}_{2}\left(\mathrm{x}_{2}, 0\right)$ for $\mathrm{x}_{1}<0$ and $\mathrm{x}_{2}>0,$ be the foci of the ellipse $\frac{\mathrm{x}^{2}}{9}+\frac{\mathrm{y}^{2}}{8}=1 .$ Suppose a parabola having vertex at the origin and focus at $\mathrm{F}_{2}$ intersects the ellipse at point $\mathrm{M}$ in the first quadrant and at point $\mathrm{N}$ in the fourth quadrant.


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