1
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
$(3,-1)$
2
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
$11 x+10 y-21=0$
3
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
$\frac{9 \pm \sqrt{5}}{2}$
4
TS EAMCET 2023 (Online) 12th May Morning Shift
MCQ (Single Correct Answer)
+1
-0
If a diameter of the circle $x^2+y^2-4 x+6 y-12=0$ is a chord of a circle $S$ whose centre is at $(-3,2)$, then the radius of $S$ is
A
$5 \sqrt{3}$
B
$4 \sqrt{3}$
C
$2 \sqrt{3}$
D
5
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