1
AP EAPCET 2022 - 5th July Morning Shift
MCQ (Single Correct Answer)
+1
-0

Suppose that the $$x$$-coordinates of the points $$A$$ and $$B$$ satisfy $$x^2+2 x-a^2=0$$ and their $$y$$-coordinates satisfy $$y^2+4 y-b^2=0$$. Then, the equation of the circle with $$A B$$ as its diameter is

A
$$x^2+y^2+2 x+4 y-a^2-b^2=0$$
B
$$x^2+y^2+2 x+4 y+a^2+b^2=0$$
C
$$x^2+y^2-2 x-4 y-a^2-b^2=0$$
D
$$x^2+y^2-2 x-4 y+a^2+b^2=0$$
2
AP EAPCET 2022 - 5th July Morning Shift
MCQ (Single Correct Answer)
+1
-0

The radical centre of the three circles $$x^2+y^2-1=0, x^2+y^2-8 x+15=0$$ and $$x^2+y^2+10 y+24=0$$ is

A
$$\left(2, \frac{-5}{2}\right)$$
B
$$\left(2, \frac{5}{2}\right)$$
C
$$\left(-2, \frac{5}{2}\right)$$
D
$$\left(-2, \frac{-5}{2}\right)$$
3
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
$$x=\sqrt{1-\sin t}, y=\sin \left(\frac{t}{2}\right)+\cos \left(\frac{t}{2}\right)$$
4
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
$$1 / \sqrt{2}$$
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