1
TS EAMCET 2023 (Online) 12th May Evening Shift
MCQ (Single Correct Answer)
+1
-0

The locus of the mid-points of the intercepted portion of the tangents by the coordinate axes, which are drawn to the ellipse $x^2+2 y^2=2$ is

A
$\frac{1}{2 x^2}+\frac{1}{4 y^2}=1$
B
$\frac{1}{4 x^2}+\frac{1}{2 y^2}=1$
C
$\frac{x^2}{2}+\frac{y^2}{4}=1$
D
$\frac{x^2}{4}+\frac{y^2}{2}=1$
2
TS EAMCET 2023 (Online) 12th May Evening Shift
MCQ (Single Correct Answer)
+1
-0

The product of the lengths of the perpendiculars drawn from the two foci of the ellipse $\frac{x^2}{9}+\frac{y^2}{25}=1$ to the tangent at any point on the ellipse is

A
6
B
7
C
8
D
9
3
TS EAMCET 2023 (Online) 12th May Evening Shift
MCQ (Single Correct Answer)
+1
-0

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

A
27
B
36
C
42
D
45
4
TS EAMCET 2023 (Online) 12th May Morning Shift
MCQ (Single Correct Answer)
+1
-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
A
$\left(0, \frac{7}{3}\right)$
B
$\left(0, \frac{25}{3}\right)$
C
$(0,9)$
D
$\left(0, \frac{-25}{3}\right)$
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