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

A stick of length $$r$$ units slides with its ends on coordinate axes. Then, the locus of the mid-point of the stick is a curve whose length is

A
$$2 \pi r$$
B
$$\pi \pi^2$$
C
$$\frac{1}{2} \pi r$$
D
$$\pi$$
2
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
$$\frac{\pi}{2}$$
3
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
4
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
$$\frac{3}{5}$$
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