1
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
$$\left(\frac{x}{2}, \frac{-y}{2}\right)$$
2
MHT CET 2021 22th September Evening Shift
+2
-0

Two circles centred at $$(2,3)$$ and $$(4,5)$$ intersects each other. If their radii are equal, then the equation of the common chord is

A
$$x+y+1=0$$
B
$$x+y-1=0$$
C
$$x+y-7=0$$
D
$$x+y+7=0$$
3
MHT CET 2021 22th September Morning Shift
+2
-0

The equation of a circle that passes through the origin and cut off intercepts $$-2$$ and 3 on the $$\mathrm{X}$$-axis and $$\mathrm{Y}$$-axis respectively is

A
$$x^2+y^2-2 x+3 y=0$$
B
$$x^2+y^2+2 x+3 y=0$$
C
$$x^2+y^2+2 x-3 y=0$$
D
$$x^2+y^2-2 x-3 y=0$$
4
MHT CET 2021 21th September Evening Shift
+2
-0

The equation of circle with centre at $$(2,-3)$$ and the circumference $$10 \pi$$ units is

A
$$x^2+y^2-4 x+6 y-12=0$$
B
$$x^2+y^2+4 x+6 y+12=0$$
C
$$x^2+y^2-4 x-6 y-12=0$$
D
$$x^2+y^2-4 x+6 y+12=0$$
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