1
TG EAPCET 2025 (Online) 2nd May Morning Shift
MCQ (Single Correct Answer)
+1
-0

For the circle $x-2=5 \cos \theta, y+1=5 \sin \theta$, where $\theta$ is the perimeter, the line $x=1+\frac{r}{2}, y=-2+\frac{\sqrt{3}}{2} r$ where $r$ is the perimeter, is a

A

Chord of the circle other than diameter

B

Tangent of the circle

C

Diameter of the circle

D

Line that does not meet the circle

2
TG EAPCET 2025 (Online) 2nd May Morning Shift
MCQ (Single Correct Answer)
+1
-0

If $x-2 y=0$ is a tangent drawn at a point $P$ on the circle $x^2+y^2-6 x+2 y+c=0$, then the distance of the point $(6,3)$ from $P$ is

A

$\sqrt{5}$

B

$2 \sqrt{5}$

C

$4 \sqrt{5}$

D

$5 \sqrt{2}$

3
TG EAPCET 2025 (Online) 2nd May Morning Shift
MCQ (Single Correct Answer)
+1
-0
If $A, B$ are the points of contact of the tangents drawn from the point $(-3,1)$ to the circle $x^2+y^2-4 x+2 y-4=0$, then the equation of the circumcircle of the $\triangle P A B$ is
A

$x^2+y^2-6 x+2 y-6=0$

B

$x^2+y^2-x+7=0$

C

$x^2+y^2+x-7=0$

D

$x^2+y^2+6 x-2 y-6=0$

4
TG EAPCET 2025 (Online) 2nd May Morning Shift
MCQ (Single Correct Answer)
+1
-0
A circle $C$ passing through the point $(1,1)$ bisects the circumference of the circle $x^2+y^2-2 x=0$. If $C$ is orthogonal to the circle $x^2+y^2+2 y-3=0$, then the centre of the circle $C$ is
A

$\left(-\frac{1}{2}, 0\right)$

B

$\left(\frac{5}{2}, 0\right)$

C

$\left(0, \frac{5}{2}\right)$

D

$\left(0,-\frac{1}{2}\right)$

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