1
AP EAPCET 2024 - 21th May Evening Shift
MCQ (Single Correct Answer)
+1
-0
If the equation of the circle whose radius is 3 units and which touches internally the circle $x^2+y^2-4 x-6 y-12=0$ at the point $(-1,-1)$ is $x^2+y^2+p x+q y+r=0$, then $p+q-r=$
A
2
B
$\frac{5}{2}$
C
$\frac{26}{5}$
D
3
2
AP EAPCET 2024 - 21th May Evening Shift
MCQ (Single Correct Answer)
+1
-0
The equation of the circle touching the circle $x^2+y^2-6 x+6 y+17=0$ externally and to which the lines $x^2-3 x y-3 x+9 y=0$ are normal is
A
$x^2+y^2-3 x+2 y-2=0$
B
$x^2+y^2-6 x-2 y+1=0$
C
$x^2+y^2+6 x-2 y-1=0$
D
$x^2+y^2-9 x-3 y+2=0$
3
AP EAPCET 2024 - 21th May Evening Shift
MCQ (Single Correct Answer)
+1
-0
The pole of the straight line $9 x+y-28=0$ with respect to the circle $2 x^2+2 y^2-3 x+5 y-7=0$ is
A
$(-1,3)$
B
$(2,-3)$
C
$(3,-1)$
D
$(3,-3)$
4
AP EAPCET 2024 - 21th May Evening Shift
MCQ (Single Correct Answer)
+1
-0
The equation of a circle which touches the straight lines $x+y=2, x-y=2$ and also touches the circle $x^2+y^2=1$ is
A
$(x+\sqrt{2})^2+y^2=3-\sqrt{2}$
B
$(x+\sqrt{2})^2+y^2=1-2 \sqrt{2}$
C
$(x-\sqrt{2})^2+y^2=2(1-\sqrt{2})$
D
$(x-\sqrt{2})^2+y^2=3-2 \sqrt{2}$
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