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1
AP EAPCET 2024 - 23th May Morning Shift
MCQ (Single Correct Answer)
+1
-0

If $P$ is a point which divides the line segment joining the focus of the parabola $y^2=12 x$ and a point on the parabola in the ratio $1: 2$. Then, the locus of $p$ is

A
$y^2=2(x-2)$
B
$y^2=4 x$
C
$y^2=4(x-2)$
D
$y^2=9(x-3)$
2
AP EAPCET 2024 - 22th May Evening Shift
MCQ (Single Correct Answer)
+1
-0
Equation of the line touching both parabolas $y^2=4 x$ and $x^2=-32 y$ is
A
$x+2 y+4=0$
B
$2 x+y-4=0$
C
$x-2 y-4=0$
D
$x-2 y+4=0$
3
AP EAPCET 2024 - 22th May Morning Shift
MCQ (Single Correct Answer)
+1
-0
If the normal chord drawn at $(2 a, 2 a \sqrt{2})$ on the parabola $y^2=4 a x$ subtends an angle $\theta$ at its vertex, then $\theta=$
A
$45^{\circ}$
B
$90^{\circ}$
C
$135^{\circ}$
D
$60^{\circ}$
4
AP EAPCET 2024 - 21th May Evening Shift
MCQ (Single Correct Answer)
+1
-0
If the ordinates of points $P$ and $Q$ on the parabola $y^2=12 x$ are in the ratio $1: 2$. Then, the locus of the point of intersection of the normals to the parabola at $P$ and $Q$ is
A
$y+18\left(\frac{x-6}{21}\right)^{\frac{3}{2}}=0$
B
$y-18\left(\frac{x-6}{12}\right)^{\frac{3}{2}}=0$
C
$y+12\left(\frac{x-6}{14}\right)^{\frac{1}{2}}=0$
D
$y-12\left(\frac{x-6}{18}\right)^{\frac{1}{2}}=0$
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