1
AP EAPCET 2024 - 18th May Morning Shift
MCQ (Single Correct Answer)
+1
-0
If $4 x-3 y-5=0$ is a normal to the ellipse $3 x^2+8 y^2=k$, then the equation of the tangent drawn to this ellipse at the point $(-2, m)(m>0)$ is
A
$3 x+4 y-14=0$
B
$3 x-4 y+10=0$
C
$3 x-4 y+1=0$
D
$4 x+3 y-3=0$
2
AP EAPCET 2022 - 5th July Morning Shift
MCQ (Single Correct Answer)
+1
-0

If the angle between the straight lines joining the foci and the ends of the minor axis of the ellipse $$\frac{x^2}{a^2}+\frac{y^2}{b^2}=1$$ is $$90^{\circ}$$, then it eccentricity

A
$$1 / 2$$
B
$$1 / 4$$
C
$$1 / 3$$
D
$$1 / \sqrt{2}$$
3
AP EAPCET 2022 - 4th July Evening Shift
MCQ (Single Correct Answer)
+1
-0

The focal distances of the point $$\left(\frac{4}{\sqrt{5}}, \frac{3}{\sqrt{5}}\right)$$ on the ellipse $$\frac{x^2}{4}+\frac{y^2}{9}=1$$ are

A
$$\frac{10}{3}, \frac{2}{3}$$
B
$$3,1$$
C
$$\frac{13}{3}, \frac{5}{3}$$
D
$$4,2$$
4
AP EAPCET 2022 - 4th July Morning Shift
MCQ (Single Correct Answer)
+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
$$\pi$$
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