1
AP EAPCET 2021 - 19th August Morning Shift
+1
-0

Find the equation of the circle passing through $$(1,-2)$$ and touching the $$X$$-axis at $$(3,0)$$.

A
$$x^2+y^2+6 x-4 y-9=0$$
B
$$x^2+y^2-6 x-4 y+9=0$$
C
$$x^2+y^2-6 x-4 y-9=0$$
D
$$x^2+y^2-6 x+4 y+9=0$$
2
AP EAPCET 2021 - 19th August Morning Shift
+1
-0

Let $$L_1$$ be a straight line passing through the origin and $$L_2$$ be the straight line $$x+y=1$$. If the intercepts made by the circle $$x^2+y^2-x+3 y=0$$ on $$L_1$$ and $$L_2$$ are equal, then which of the following equations represent $$L_1$$

A
$$x+y=0$$ and $$x+7 y=0$$
B
$$x-y=0$$ and $$x+7 y=0$$
C
$$x-7 y=0$$ and $$x+y=0$$
D
$$x-7 y=0$$ and $$x-y=0$$
3
AP EAPCET 2021 - 19th August Morning Shift
+1
-0

The radius of the circle whose center lies at $$(1,2)$$ while cutting the circle $$x^2+y^2+4 x+16 y-30=0$$ orthogonally, is units.

A
$$\sqrt{41}$$
B
$$\sqrt{31}$$
C
$$\sqrt{21}$$
D
$$\sqrt{11}$$
4
AP EAPCET 2021 - 19th August Morning Shift
+1
-0

The point which has the same power with respect to each of the circles $$x^2+y^2-8 x+40=0, x^2+y^2-5 x+16=0$$ and $$x^2+y^2-8 x+16 y+160=0$$ is

A
$$\left(-8, \frac{-15}{2}\right)$$
B
$$\left(8, \frac{-15}{2}\right)$$
C
$$\left(8, \frac{15}{2}\right)$$
D
$$\left(-8, \frac{15}{2}\right)$$
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