1
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
$$x^2+y^2-2 x-3 y=0$$
2
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
$$x^2+y^2-4 x+6 y+12=0$$
3
MHT CET 2021 21th September Morning Shift
+2
-0

The equation of the circle whose centre lies on the line $$x-4 y=1$$ and which passes through the points $$(3,7)$$ and $$(5,5)$$ is

A
$$x^2+y^2+6 x-2 y+90=0$$
B
$$x^2+y^2-6 x-2 y-25=0$$
C
$$x^2+y^2-6 x+2 y-30=0$$
D
$$x^2+y^2+6 x+2 y-90=0$$
4
MHT CET 2021 20th September Morning Shift
+2
-0

If the lines $$3x - 4y + 4 = 0$$ and $$6x - 8y - 7 = 0$$ are tangents to a circle, then the radius of the circle is

A
$$\frac{7}{4}$$ units
B
$$\frac{3}{4}$$ units
C
$$\frac{4}{3}$$ units
D
$$\frac{1}{4}$$ units
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