1
TS EAMCET 2023 (Online) 12th May Evening Shift
MCQ (Single Correct Answer)
+1
-0
The number of common tangents to the circles $x^2+y^2-2 x-6 y+9=0$ and $x^2+y^2+6 x-2 y+1=0$ is
A
1
B
2
C
3
D
4
2
TS EAMCET 2023 (Online) 12th May Evening Shift
MCQ (Single Correct Answer)
+1
-0

The pole of the straight line $9 x+y-28=0$ with respect to the circle $2 x^2+2 y^2-3 x+5 y-7=0$ is

A
$(3,1)$
B
$(-3,1)$
C
$(-2,1)$
D
$(3,-1)$
3
TS EAMCET 2023 (Online) 12th May Evening Shift
MCQ (Single Correct Answer)
+1
-0

The equation of the line perpendicular to the radical axis of two circles $x^2+y^2-5 x+6 y+12=0$, $x^2+y^2+6 x-4 y-14=0$ and passing through $(1,1)$ is

A
$2 x+3 y-5=0$
B
$x+y-2=0$
C
$10 x+11 y-21=0$
D
$11 x+10 y-21=0$
4
TS EAMCET 2023 (Online) 12th May Evening Shift
MCQ (Single Correct Answer)
+1
-0

If the angle between the circles

$$ x^2+y^2-2 x-4 y+c=0 \text { and } x^2+y^2-4 x-2 y+4=0 $$

is $60^{\circ}$, then $c=$

A
$\frac{3 \pm \sqrt{5}}{2}$
B
$\frac{6 \pm \sqrt{5}}{2}$
C
$\frac{7 \pm \sqrt{5}}{2}$
D
$\frac{9 \pm \sqrt{5}}{2}$
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