1
AP EAPCET 2022 - 4th July Morning Shift
+1
-0

The eccentric angle of a point on the ellipse $$x^2+3 y^2=6$$ lying at a distance of 2 units from its centre is

A
$$\frac{\pi}{6}$$
B
$$\frac{\pi}{4}$$
C
$$\frac{\pi}{3}$$
D
$$\frac{\pi}{2}$$
2
AP EAPCET 2021 - 20th August Morning Shift
+1
-0

If $$\tan \theta_1, \tan \theta_2=\frac{-a^2}{b^2}$$, then the chord joining 2 points $$\theta_1$$ and $$\theta_2$$ one the ellipse $$\frac{x^2}{a^2}+\frac{y^2}{b^2}=1$$ will subtend a right angle at

A
Focus
B
Center
C
end of major axis
D
end of minor axis
3
AP EAPCET 2021 - 19th August Evening Shift
+1
-0

In an ellipse, if the distance between the foci is 6 units and the length of its minor axis is 8 units, then its eccentricity is

A
$$\frac{1}{2}$$
B
$$\frac{7}{5}$$
C
$$\frac{1}{\sqrt5}$$
D
$$\frac{3}{5}$$
4
AP EAPCET 2021 - 19th August Morning Shift
+1
-0

If a point $$P(x, y)$$ moves along the ellipse $$\frac{x^2}{25}+\frac{y^2}{16}=1$$ and if $$C$$ is the center of the ellipse, then the sum of maximum and minimum values of $$C P$$ is

A
25
B
9
C
4
D
5
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