1
MHT CET 2023 9th May Evening Shift
MCQ (Single Correct Answer)
+2
-0

The sides of a rectangle are given by the equations $$x=-2, x=4, y=-2$$ and $$y=5$$

Then the equation of the circle, whose centre is the point of intersection of the diagonals, lying within the rectangle and touching only two opposite sides, is

A
$$x^2+y^2+2 x+3 y+9=0$$
B
$$x^2+y^2-2 x+3 y+9=0$$
C
$$x^2+y^2+2 x-3 y-9=0$$
D
$$x^2+y^2-2 x-3 y-9=0$$
2
MHT CET 2023 9th May Morning Shift
MCQ (Single Correct Answer)
+2
-0

Two tangents to the circle $$x^2+y^2=4$$ at the points $$\mathrm{A}$$ and $$\mathrm{B}$$ meet at the point $$\mathrm{P}(-4,0)$$. Then the area of the quadrilateral $$\mathrm{PAOB}, \mathrm{O}$$ being the origin, is

A
$$2 \sqrt{3}$$ sq. units
B
$$8 \sqrt{3}$$ sq. units
C
$$4 \sqrt{3}$$ sq. units
D
$$6 \sqrt{3}$$ sq. units
3
MHT CET 2021 21th September Evening Shift
MCQ (Single Correct Answer)
+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
$$x^2+y^2-4 x+6 y+12=0$$
4
MHT CET 2021 21th September Morning Shift
MCQ (Single Correct Answer)
+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
$$x^2+y^2+6 x+2 y-90=0$$
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