TS EAMCET 2023 (Online) 12th May Evening Shift | Ellipse Question 39 | Mathematics

Tangents are drawn to the ellipse $\frac{x^2}{9}+\frac{y^2}{5}=1$ at all the ends of its latus recta. The area of the quadrilateral, so formed (in sq units) is

TS EAMCET 2023 (Online) 12th May Morning Shift

MCQ (Single Correct Answer)

-0

A particle is travelling in clockwise direction on the ellipse $\frac{x^2}{100}+\frac{y^2}{25}=1$. If the particle leaves the ellipse the point $(-8,3)$ on it and travels along the tangent to the ellipse at that point, then the point where the particle crosses the $Y$-axis is

$\left(0, \frac{7}{3}\right)$

$\left(0, \frac{25}{3}\right)$

$(0,9)$

$\left(0, \frac{-25}{3}\right)$

TS EAMCET 2023 (Online) 12th May Morning Shift

MCQ (Single Correct Answer)

-0

If an ellipse with foci at $(3,3)$ and $(-4,4)$ is passing through the origin, then the eccentricity of that ellipse is

$5 / 7$

$3 / 7$

$1 / 7$

$4 / 7$

TS EAMCET 2022 (Online) 20th July Evening Shift

MCQ (Single Correct Answer)

-0

If $m$ is the length of the latusrectum and $n$ is the length of the major-axis of the ellipse $25 x^2+16 y^2-150 x-64 y-111=0$, then the ordered pair $(m, n)=$

$\left(\frac{16}{5}, 10\right)$

$\left(\frac{32}{5}, 10\right)$

$\left(\frac{25}{2}, 8\right)$

$\left(\frac{25}{4}, 8\right)$

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