1
MHT CET 2021 24th September Evening Shift
+2
-0

If $$y=2 x$$ is a chord of circle $$x^2+y^2-10 x=0$$, then the equation of circle with this chord as diameter is

A
$$x^2+y^2-2 x-4 y=0$$
B
$$x^2+y^2+2 x+4 y=0$$
C
$$x^2+y^2-2 x+4 y=0$$
D
$$x^2+y^2+2 x-4 y=0$$
2
MHT CET 2021 24th September Morning Shift
+2
-0

Equationof the chord of the circle $$x^2+y^2-4 x-10 y+25=0$$ having mid-point $$(1,2)$$ is

A
$$-x+3 y=5$$
B
$$x+3 y=7$$
C
$$5 x+y=7$$
D
$$3 x+y=5$$
3
MHT CET 2021 23rd September Evening Shift
+2
-0

The equation of common tangent to the circles $$x^2+y^2-4 x+10 y+20=0$$ and $$x^2+y^2+8 x-6 y-24=0$$ is

A
$$3 x-4 y+11=0$$
B
$$3 x-4 y-11=0$$
C
$$-3 x-4 y+11=0$$
D
$$3 x+4 y+11=0$$
4
MHT CET 2021 23th September Morning Shift
+2
-0

If a circle passes through the points $$(0,0),(x, 0)$$ and $$(0, y)$$, then the coordinates of its centre are

A
$$\left(\frac{-x}{2}, \frac{y}{2}\right)$$
B
$$\left(\frac{x}{2}, \frac{y}{2}\right)$$
C
$$\left(\frac{-x}{2}, \frac{-y}{2}\right)$$
D
$$\left(\frac{x}{2}, \frac{-y}{2}\right)$$
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