1
TG EAPCET 2024 (Online) 9th May Evening Shift
MCQ (Single Correct Answer)
+1
-0
Length of the common chord of the circles $x^2+y^2-6 x+5=0$ and $x^2+y^2+4 y-5=0$ is
A
$\sqrt{13}$
B
$\frac{12}{\sqrt{13}}$
C
$\frac{6}{\sqrt{13}}$
D
$2 \sqrt{13}$
2
TG EAPCET 2024 (Online) 9th May Morning Shift
MCQ (Single Correct Answer)
+1
-0
The centroid of a variable $\triangle A B C$ is at the distance of 5 units from the origin. If $A=(2,3)$ and $B=(3,2)$, then the locus of $C$ is
A
a circle of radius 225 units
B
a rectangular hyperbola
C
a circle of diameter 30 units
D
an ellipse with eccentricity $\frac{4}{5}$
3
TG EAPCET 2024 (Online) 9th May Morning Shift
MCQ (Single Correct Answer)
+1
-0
If $(1,1),(-2,2)$ and $(2,-2)$ are 3 points on a circle $S$, then the perpendicular distance from the centre of the circle $S$ to the line $3 x-4 y+1=0$ is
A
$\frac{1}{2}$
B
1
C
$\frac{23}{10}$
D
2
4
TG EAPCET 2024 (Online) 9th May Morning Shift
MCQ (Single Correct Answer)
+1
-0
If the line $4 x-3 y+p=0(p+3>0)$ touches the circle $x^2+y^2-4 x+6 y+4=0$ at the point $(h, k)$, then $h-2 k=$
A
$-\frac{8}{5}$
B
2
C
$\frac{6}{5}$
D
3
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