Mathematics · 2021
JEE Main · 27 July 2021, Shift 2 · Q88
Let E be an ellipse whose axes are parallel to the co-ordinates axes, having its center at (3,-4), one focus at (4,-4) and one vertex at (5,-4). If m…
Let E be an ellipse whose axes are parallel to the co-ordinates axes, having its center at $\displaystyle (3,-4)$, one focus at $\displaystyle (4,-4)$ and one vertex at $\displaystyle (5,-4)$. If $\displaystyle \mathrm{m} x-y=4, \mathrm{~m}>0$ is a tangent to the ellipse E, then the value of $\displaystyle 5 \mathrm{~m}^2$ is equal to \_\_\_\_.
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