1
AP EAPCET 2021 - 19th August Evening Shift
MCQ (Single Correct Answer)
+1
-0

The length of the tangent from any point on the circle $$(x-3)^2+(y+2)^2=5 r^2$$ to the circle $$(x-3)^2+(y+2)^2=r^2$$ is 16 units, then the area between the two circles in square units is

A
$$32 \pi$$
B
$$4 \pi$$
C
$$8 \pi$$
D
$$256 \pi$$
2
AP EAPCET 2021 - 19th August Evening Shift
MCQ (Single Correct Answer)
+1
-0

The equation of the circle, which cuts orthogonally each of the three circles

$$\begin{aligned} & x^2+y^2-2 x+3 y-7=0, \\ & x^2+y^2+5 x-5 y+9=0 \text { and } \\ & x^2+y^2+7 x-9 y+29=0 \end{aligned}$$

A
$$x^2+y^2-16 x-18 y-4=0$$
B
$$x^2+y^2=a^2$$
C
$$x^2+y^2-16 x=0$$
D
$$y^2-x^2+2 x=0$$
3
AP EAPCET 2021 - 19th August Morning Shift
MCQ (Single Correct Answer)
+1
-0

Find the equations of the tangents drawn to the circle $$x^2+y^2=50$$ at the points where the line $$x+7=0$$ meets it.

A
$$7 x+y+50=0$$ and $$7 x-y+50=0$$
B
$$x+y=0$$ and $$x-y=0$$
C
$$x+7 y+5=0$$ and $$y-7 x+5=0$$
D
$$x+7 y+50=0$$ and $$x-7 y+50=0$$
4
AP EAPCET 2021 - 19th August Morning Shift
MCQ (Single Correct Answer)
+1
-0

If the chord of contact of tangents from a point on the circle $$x^2+y^2=r_1^2$$ to the circle $$x^2+y^2=r_2^2$$ touches the circle $$x^2+y^2=r_3^2$$, then $$r_1, r_2$$ and $$r_3$$ are in

A
AP
B
HP
C
GP
D
AGP
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