48
MCQ (Single Correct Answer)
Equation of a circle which passes through $(3,6)$ and touches the axes is
A
$x^2+y^2+6 x+6 y+3=0$
B
$x^2+y^2-6 x-6 y-9=0$
C
$x^2+y^2-6 x-6 y+9=0$
D
None of these
49
MCQ (Single Correct Answer)
Equation of the circle with centre on the $Y$-axis and passing through the origin and the point $(2,3)$ is
A
$x^2+y^2+13 y=0$
B
$3 x^2+3 y^2+13 x+3=0$
C
$6 x^2+6 y^2-13 y=0$
D
$x^2+y^2+13 x+3=0$
50
MCQ (Single Correct Answer)
The equation of a circle with origin as centre and passing through the vertices of an equilateral triangle whose median is of length $3 a$ is
A
$x^2+y^2=9 a^2$
B
$x^2+y^2=16 a^2$
C
$x^2+y^2=4 a^2$
D
$x^2+y^2=a^2$
51
MCQ (Single Correct Answer)
If the focus of a parabola is $(0,-3)$ and its directrix is $y=3$, then its equation is
A
$x^2=-12 y$
B
$x^2=12 y$
C
$y^2=-12 x$
D
$y^2=12 x$
52
MCQ (Single Correct Answer)
If the parabola $y^2=4 a x$ passes through the point $(3,2)$, then the length of its latusrectum is
A
$\frac{2}{3}$
B
$\frac{4}{3}$
C
$\frac{1}{3}$
D
4