1
TS EAMCET 2022 (Online) 19th July Evening Shift
MCQ (Single Correct Answer)
+1
-0

If the circle $x^2+y^2-6 x-12 y+1=0$ cuts another circle $C$ orthogonally and the centre of the circle $C$ is $(-4,2)$, then its radius of

A

$\sqrt{21}$

B

5

C

$\frac{3}{4}$

D

$\sqrt{15}$

2
TS EAMCET 2022 (Online) 19th July Morning Shift
MCQ (Single Correct Answer)
+1
-0

The equation of the incircle of the triangle formed by the lines $x=0, y=0$ and $3 x+4 y-24=0$ is

A

$x^2+y^2-24 x-24 y+144=0$

B

$x^2+y^2-6 x-6 y+9=0$

C

$x^2+y^2-4 x-4 y+4=0$

D

$x^2+y^2-8 x-8 y+16=0$

3
TS EAMCET 2022 (Online) 19th July Morning Shift
MCQ (Single Correct Answer)
+1
-0

If two tangents are drawn from the point $P\left(\frac{\pi}{4}\right)$ on the circle $x^2+y^2=4$ to the circle $x^2+y^2=1$, then the slopes of the tangents are

A

$2 \pm \sqrt{2}$

B

$1 \pm \sqrt{2}$

C

$2 \pm \sqrt{3}$

D

$1 \pm \sqrt{3}$

4
TS EAMCET 2022 (Online) 19th July Morning Shift
MCQ (Single Correct Answer)
+1
-0

If $5 x+6 y-34=0$ and $2 x+y+c=0$ are conjugate lines with respect to the circle $x^2+y^2-8 x-10 y+25=0$, then the point on the line $2 x+y+c=0$ is

A

$(3,3)$

B

$(2,4)$

C

$(1,-5)$

D

$(-2,-2)$

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