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1
TS EAMCET 2020 (Online) 10th September Morning Shift
MCQ (Single Correct Answer)
+1
-0
Two points from the set of concyclic points of the circle passing through $(1,1),(2,-1),(3,2)$ is
A

$\left(\frac{5}{2}+\sqrt{\frac{5}{2}}, \frac{1}{2}+\sqrt{\frac{5}{2}}\right),\left(\frac{5}{2}, \frac{1}{2}+\sqrt{\frac{5}{2}}\right)$

B

$\left(\frac{5}{2}+\sqrt{\frac{5}{2}}, \frac{1}{2}\right),\left(\frac{5+\sqrt{5}}{2}, \frac{1+\sqrt{5}}{2}\right)$

C

$\left(\frac{5+\sqrt{5}}{2}, \frac{1+\sqrt{5}}{\sqrt{2}}\right),\left(\frac{5}{2}+\sqrt{\frac{5}{2}}+\frac{1+\sqrt{5}}{4}\right)$

D

$\left(\frac{5}{2}-\frac{\sqrt{5}}{2}, \frac{1}{2}-\frac{\sqrt{5}}{2}\right)\left(\frac{5}{2}-\frac{\sqrt{5}}{2}, \frac{1}{2}+\frac{\sqrt{5}}{2}\right)$

2
TS EAMCET 2020 (Online) 10th September Morning Shift
MCQ (Single Correct Answer)
+1
-0

If the polar of a point $P$ with respect to a circle of radius $r$ which touches the coordinate axes and lies in the first quadrant is $x+2 y=4 r$, then the point $P$ is

A

$(r, 2 r)$

B

$(2 r, r)$

C

$(2 r, 3 r)$

D

$(-r, 4 r)$

3
TS EAMCET 2020 (Online) 10th September Morning Shift
MCQ (Single Correct Answer)
+1
-0

If the circles $x^2+y^2-2 x-2(3+\sqrt{7}) y+8+6 \sqrt{7}=0$ and $x^2+y^2-8 x-6 y+k^2=0, k \in \mathbf{Z}$, have exactly two common tangents, then the number of possible values of $k$ is

A

8

B

5

C

9

D

11

4
TS EAMCET 2020 (Online) 10th September Morning Shift
MCQ (Single Correct Answer)
+1
-0

The circle $S=0$ cuts the circles

$C_1=x^2+y^2-8 x-2 y+16=0$ and $C_2=x^2+y^2-4 x-4 y-1=0$ orthogonally. If the common chord of $S=0$ and $C_1=0$ is $2 x+13 y-15=0$, then the centre of $S=0$ is

A

$\left(\frac{-11}{3}, \frac{7}{6}\right)$

B

$\left(\frac{11}{3}, \frac{-7}{6}\right)$

C

$\left(\frac{2}{13}, \frac{11}{15}\right)$

D

$\left(\frac{11}{15}, \frac{-2}{13}\right)$

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