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1
AP EAPCET 2024 - 18th May Morning Shift
MCQ (Single Correct Answer)
+1
-0
The line $x-2 y-3=0$ cuts the parabola $y^2=4 \operatorname{ar}$ at the points $P$ and $Q$. If the focus of this parabola is $\left(\frac{1}{4}, k\right)$. then $P Q=$
A
$16 a \sqrt{5}$
B
$8 a \sqrt{5}$
C
$4 a \sqrt{5}$
D
$2 a \sqrt{5}$
2
AP EAPCET 2022 - 5th July Morning Shift
MCQ (Single Correct Answer)
+1
-0

Which of the following represents a parabola?

A
$$x=4 \cos t, y=4 \sin t$$
B
$$x^2-2=-2 \cos t, y=\cos ^2\left(\frac{t}{2}\right)$$
C
$$\sqrt{x}=\tan t, \sqrt{y}=\sec t$$
D
$$x=\sqrt{1-\sin t}, y=\sin \left(\frac{t}{2}\right)+\cos \left(\frac{t}{2}\right)$$
3
AP EAPCET 2022 - 4th July Evening Shift
MCQ (Single Correct Answer)
+1
-0

Suppose a parabola passes through $$(0,4),(1,9)$$ and $$(4,5)$$ and has its axis parallel to the $$Y$$-axis. Then, the equation of the parabola is

A
$$19 x^2+12 y-79 x-48=0$$
B
$$19 x^2+12 y-79 x+48=0$$
C
$$19 y^2+12 x-79 y-48=0$$
D
$$19 y^2+12 x-79 y+48=0$$
4
AP EAPCET 2022 - 4th July Morning Shift
MCQ (Single Correct Answer)
+1
-0

Suppose a parabola with focus at $$(0,0)$$ has $$x-y+1=0$$ as its tangent at the vertex. Then, the equation of its directrix is

A
$$x-y+2=0$$
B
$$x-y-2=0$$
C
$$x-y+3=0$$
D
$$x-y+4=0$$
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