1
TS EAMCET 2022 (Online) 18th July Morning Shift
MCQ (Single Correct Answer)
+1
-0

If the common chord of the circles $x^2+y^2+4 y=0$ and $x^2+y^2-4 x-5=0$ is the diameter of the circle $S=0$, then the abscissa of the centre of the circle $S=0$ is

A

$\frac{-13}{8}$

B

$\frac{3}{8}$

C

$\frac{3}{4}$

D

$\frac{-13}{4}$

2
TS EAMCET 2020 (Online) 14th September Evening Shift
MCQ (Single Correct Answer)
+1
-0

If the parametric equations of the circle passing through the points $(3,4),(3,2)$ and $(1,4)$ is $x=a+r \cos \theta$, $y=b+r \sin \theta$, then $b^a r^a=$

A

27

B

18

C

9

D

54

3
TS EAMCET 2020 (Online) 14th September Evening Shift
MCQ (Single Correct Answer)
+1
-0

From a point $P$ on the circle $x^2+y^2-4 x-6 y+9=0$, a pair of tangents $P Q$ and $P R$ are drawn touching the circle $x^2+y^2-4 x-6 y+12=0$ at $Q$ and $R$. If $C$ is the centre of the concentric circles, then the area of the $\triangle C Q R$ (in sq. units) is

A

$\frac{1}{2}$

B

$\frac{\sqrt{3}}{2}$

C

$\frac{\sqrt{3}}{4}$

D

$\frac{3}{4}$

4
TS EAMCET 2020 (Online) 14th September Evening Shift
MCQ (Single Correct Answer)
+1
-0

The equations of the tangents drawn from the origin to the circle $x^2+y^2+2 g x+2 f y+g^2=0$ are

A

$x=0,\left(g^2+f^2\right) x-2 g f y=0$

B

$x=0,\left(g^2-f^2\right) x-2 g f y=0$

C

$y=0,\left(g^2-f^2\right) y-2 g f x=0$

D

$y=0,\left(g^2+f^2\right) y-2 g f x=0$

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