1
TG EAPCET 2024 (Online) 10th May Evening Shift
MCQ (Single Correct Answer)
+1
-0
A rhombus is inscribed in the region common to the two circles $x^{2}+y^{2}-4 x-12=0$ and $x^{2}+y^{2}+4 x-12=0$. If the line joining the centres of these circles and the common chord of them are the diagonals of this rhombus, then the area (in sq units) of the rhombus is
A
$16 \sqrt{3}$
B
$4 \sqrt{3}$
C
$12 \sqrt{3}$
D
$8 \sqrt{3}$
2
TG EAPCET 2024 (Online) 10th May Evening Shift
MCQ (Single Correct Answer)
+1
-0
If $m$ is the slope and $P(8, \beta)$ is the mid-point of a chord of contact of the circle $x^{2}+y^{2}=125$, then the number of values of $\beta$ such that $\beta$ and $m$ are integers is
A
2
B
4
C
6
D
8
3
TG EAPCET 2024 (Online) 10th May Evening Shift
MCQ (Single Correct Answer)
+1
-0
A rectangle is formed by the lines $x=4, x=-2, y=5, y=-2$ and a circle is drawn through the vertices of this rectangle. The pole of the line $y+2=0$ with respect to this circle is
A
$\left(1, \frac{-85}{14}\right)$
B
$\left(1, \frac{-32}{7}\right)$
C
$(-2,-2)$
D
$(1,-4)$
4
TG EAPCET 2024 (Online) 10th May Evening Shift
MCQ (Single Correct Answer)
+1
-0
The equation of a circle which passes through the points of intersection of the circles $2 x^{2}+2 y^{2}-2 x+6 y-3=0, x^{2}+y^{2}+4 x+2 y+1=0$ and whose centre lies on the common chord of these circles is
A
$2 x^{2}+2 y^{2}-3 x+4 y-2=0$
B
$x^{2}+y^{2}+2 x+5 y-2=0$
C
$3 x^{2}+3 y^{2}-2 x+4 y-3=0$
D
$4 x^{2}+4 y^{2}+6 x+10 y-1=0$
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