1
AP EAPCET 2024 - 22th May Evening Shift
MCQ (Single Correct Answer)
+1
-0
Angle between the circles $x^2+y^2-4 x-6 y-3=0$ and $x^2+y^2+8 x-4 y+11=0$ is
A
$\frac{\pi}{3}$
B
$\frac{\pi}{6}$
C
$\frac{\pi}{2}$
D
$\frac{\pi}{4}$
2
AP EAPCET 2024 - 22th May Morning Shift
MCQ (Single Correct Answer)
+1
-0
From a point $(1,0)$ on the circle $x^2+y^2-2 x+2 y+1=0$ if chords are drawn to this circle, then locus of the poles of these chords with respect the circle $x^2+y^2=4$ is
A
$x=4$
B
$x+2 y=5$
C
$x^2+y^2-x-y=0$
D
$2 y^2=(x+1)$
3
AP EAPCET 2024 - 22th May Morning Shift
MCQ (Single Correct Answer)
+1
-0
If $A$ and $B$ are the centres of similitude with respect to the circles $x^2+y^2-14 x+6 y+33=0$ and $x^2+y^2+30 x-2 y+1=0$, then mid-point of $A B$ is
A
$\left(\frac{7}{3}, \frac{4}{5}\right)$
B
$\left(\frac{3}{2}, \frac{1}{5}\right)$
C
$\left(\frac{39}{2}, \frac{-7}{4}\right)$
D
$\left(\frac{39}{4}, \frac{-7}{2}\right)$
4
AP EAPCET 2024 - 22th May Morning Shift
MCQ (Single Correct Answer)
+1
-0

$C_1$ is the circle with centre at $O(0,0)$ and radius $4, C_2$ is a variable circle with centre at $(\alpha, \beta)$ and radius 5 . If the common chord of $C_1$ and $C_2$ has slope $\frac{3}{4}$ and of maximum length, then one of the possible values of $\alpha+\beta$ is

A
$\frac{21}{5}$
B
$\frac{3}{5}$
C
$\frac{1}{5}$
D
$\frac{19}{5}$
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