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

A circle is such that $$(x-2) \cos \theta+(y-2) \sin \theta=1$$ touches it for all values of $$\theta$$. Then, the circle is

A
$$x^2+y^2-4 x-4 y+7=0$$
B
$$x^2+y^2+4 x+4 y+7=0$$
C
$$x^2+y^2-4 x-4 y-7=0$$
D
$$x^2+y^2+4 x+4 y-7=0$$
2
AP EAPCET 2022 - 5th July Morning Shift
MCQ (Single Correct Answer)
+1
-0

The least distance of the point $$(10,7)$$ from the circle $$x^2+y^2-4 x-2 y-20=0$$ is

A
6
B
7
C
4
D
5
3
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
$$x^2+y^2-2 x-4 y+a^2+b^2=0$$
4
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
$$\left(-2, \frac{-5}{2}\right)$$
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