1
AP EAPCET 2024 - 19th May Evening Shift
MCQ (Single Correct Answer)
+1
-0
If a tangent of slope 2 to the ellipse $\frac{x^2}{a^2}+\frac{y^2}{b^2}=1$ touches the circle $x^2+y^2=4$, then maximum value of $a b$ is
A
4
B
12
C
5
D
7
2
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
$4 x+3 y-3=0$
3
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
$$1 / \sqrt{2}$$
4
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
$$4,2$$
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