1
TS EAMCET 2020 (Online) 14th September Morning Shift
MCQ (Single Correct Answer)
+1
-0

If $P(-3,2)$ is an end point of the focal chord $P Q$ of the parabola $y^2+4 x+4 y=0$, then the slope of the normal drawn at $Q$ is

A

$\frac{-1}{2}$

B

2

C

$\frac{1}{2}$

D

-2

2
TS EAMCET 2020 (Online) 11th September Evening Shift
MCQ (Single Correct Answer)
+1
-0

If all the vertices of an equilateral triangle lie on the parabola $y^2=16 x$ and one of them coincides with the vertex of that parabola, then the length of the side of that triangle is

A

$32 \sqrt{3}$

B

$16 \sqrt{3}$

C

$8 \sqrt{3}$

D

32

3
TS EAMCET 2020 (Online) 11th September Evening Shift
MCQ (Single Correct Answer)
+1
-0

If $m x-y+c=0$ is a normal at a point $P$ on the parabola $y^2=16 x$ and the focal distance of $P$ is 40 units, then $|c|=$

A

108

B

132

C

66

D

60

4
TS EAMCET 2020 (Online) 11th September Morning Shift
MCQ (Single Correct Answer)
+1
-0

If a circle with its centre at the focus of the parabola $y^2=2 p x$ is such that it touches the directrix of the parabola, then a point of intersection of the circle and the parabola is

A

$\left(\frac{p}{2}, 2 p\right)$

B

$\left(\frac{-p}{2}, p\right)$

C

$\left(\frac{p}{2},-p\right)$

D

$\left(\frac{-p}{2},-p\right)$

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