1
AP EAPCET 2024 - 20th May Evening Shift
MCQ (Single Correct Answer)
+1
-0
The largest among the distances from the point $P(15,9)$ to the points on the circle $x^2+y^2-6 x-8 y-11=0$ is
A
12
B
13
C
19
D
7
2
AP EAPCET 2024 - 20th May Evening Shift
MCQ (Single Correct Answer)
+1
-0
The circle $x^2+y^2-8 x-12 y+\alpha=0$ lies in the first quadrant without touching the coordinate axes. If $(6,6)$ is an interior point to the circle, then
A
$4<\alpha<6$
B
$6<\alpha<16$
C
$16<\alpha<48$
D
$36<\alpha<48$
3
AP EAPCET 2024 - 20th May Evening Shift
MCQ (Single Correct Answer)
+1
-0
The equation of the circle whose diameter is the common chord of the circles $x^2+y^2-6 x-7=0$ and $x^2+y^2-10 x+16=0$ is
A
$8 x^2+8 y^2-92 x+197=0$
B
$x^2+y^2-23 x+197=0$
C
$x^2+y^2-\frac{23}{2} x+\frac{197}{4}=0$
D
$4 x^2+4 y^2-46 x+197=0$
4
AP EAPCET 2024 - 20th May Evening Shift
MCQ (Single Correct Answer)
+1
-0
If the locus of the mid-point of the chords of the circle $x^2+y^2=25$, which subtend a right angle at the origin is given by $\frac{x^2}{\alpha^2}+\frac{y^2}{\alpha^2}=1$, then $|\alpha|=$
A
$\frac{2}{5}$
B
$\frac{5}{\sqrt{2}}$
C
$\frac{2}{25}$
D
$5 \sqrt{2}$
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