1
AP EAPCET 2024 - 20th May Evening Shift
MCQ (Single Correct Answer)
+1
-0
Equation of a tagent line of the parabola $y^2=8 x$, which passes through the point $(1,3)$ is
A
$y=2 x+1$
B
$2 y=x+5$
C
$y=-2 x+5$
D
$2 y=3 x+3$
2
AP EAPCET 2024 - 20th May Evening Shift
MCQ (Single Correct Answer)
+1
-0
If the chord of the ellipse $\frac{x^2}{4}+\frac{y^2}{9}=1$ having $(1,1)$ as its middle point is $x+\alpha y=\beta$, then
A
$\alpha+\beta=1$
B
$\alpha+1=\beta$
C
$\alpha-1=\beta$
D
$2 \alpha-1=3 \beta$
3
AP EAPCET 2024 - 20th May Evening Shift
MCQ (Single Correct Answer)
+1
-0
If a directrix of a hyperbola centred at the origin and passing through the point $(4,-2 \sqrt{3})$ is $\sqrt{5} x=4$ and e is its eccentricity, then $e^2=$
A
$\frac{\sqrt{7}}{2}$
B
$\frac{7}{2}$
C
$\frac{35}{4}$
D
$2 \sqrt{3}$
4
AP EAPCET 2024 - 20th May Evening Shift
MCQ (Single Correct Answer)
+1
-0
If $l_1$ and $l_2$ are the lengths of the perpendiculars drawn from a point on the hyperbola $5 x^2-4 y^2-20=0$ to its asymptotes, then $\frac{l_1{ }^2 l_2{ }^2}{100}=$
A
$\frac{20}{9}$
B
$\frac{16}{81}$
C
$\frac{4}{81}$
D
$\frac{2}{9}$
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