# Circle · Mathematics · MHT CET

Start Practice## MCQ (Single Correct Answer)

MHT CET 2023 14th May Evening Shift

The centre of the circle whose radius is 3 units and touching internally the circle $$x^2+y^2-4 x-6 y-12=0$$ at the point $$(-1,-1)$$ is

MHT CET 2023 14th May Morning Shift

If the line $$x-2 y=\mathrm{m}(\mathrm{m} \in \mathrm{Z})$$ intersects the circle $$x^2+y^2=2 x+4 y$$ at two distinct points, then the number of possi...

MHT CET 2023 13th May Evening Shift

The abscissae of two points $$A$$ and $$B$$ are the roots of the equation $$x^2+2 a x-b^2=0$$ and their ordinates are roots of the equation $$y^2+2 p ...

MHT CET 2023 13th May Morning Shift

The parametric equations of the curve $$x^2+y^2+a x+b y=0$$ are

MHT CET 2023 12th May Evening Shift

The circles $$x^2+y^2+2 \mathrm{a} x+\mathrm{c}=0$$ and $$x^2+y^2+2 b y+c=0$$ touch each other externally, if

MHT CET 2023 12th May Morning Shift

If $$\lambda$$ is the perpendicular distance of a point $$\mathrm{P}$$ on the circle $$x^2+y^2+2 x+2 y-3=0$$, from the line $$2 x+y+13=0$$, then maxim...

MHT CET 2023 11th May Evening Shift

If a circle passes through points $$(4,0)$$ and $$(0,2)$$ and its centre lies on $$\mathrm{Y}$$-axis. If the radius of the circle is $$r$$, then the v...

MHT CET 2023 11th May Morning Shift

Number of common tangents to the circles $$x^2+y^2-6 x-14 y+48=0$$ and $$x^2+y^2-6 x=0$$ are

MHT CET 2023 10th May Evening Shift

The parametric equations of the circle $$x^2+y^2+2 x-4 y-4=0$$ are

MHT CET 2023 10th May Morning Shift

If the circles $$x^2+y^2=9$$ and $$x^2+y^2+2 \alpha x+2 y+1=0$$ touch each other internally, then the value of $$\alpha^3$$ is

MHT CET 2023 9th May Evening Shift

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 inte...

MHT CET 2023 9th May Morning Shift

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 ...

MHT CET 2022 11th August Evening Shift

If the lines $$3 x-4 y-7=0$$ and $$2 x-3 y-5=0$$ pass through diameters of a circle of area $$49 \pi$$ square units, then the equation of the circle i...

MHT CET 2021 24th September Evening Shift

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

MHT CET 2021 24th September Morning Shift

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

MHT CET 2021 23rd September Evening Shift

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

MHT CET 2021 23th September Morning Shift

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

MHT CET 2021 22th September Evening Shift

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

MHT CET 2021 22th September Morning Shift

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 respect...

MHT CET 2021 21th September Evening Shift

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

MHT CET 2021 21th September Morning Shift

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

MHT CET 2021 20th September Morning Shift

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

MHT CET 2020 16th October Morning Shift

The radius of the circle passing through the points $$(5,7),(2,-2)$$ and $$(-2,0)$$ is

MHT CET 2019 2nd May Evening Shift

The intercept on the line $y=x$ by the circle $x^2+y^2-2 x=0$ is $A B$. The equation of the circle with $A B$ as a diameter is .............

MHT CET 2019 2nd May Evening Shift

The equation of the circle concentric with the circle $x^2+y^2-6 x-4 y-12=0$ and touching the $Y$-axis is ............

MHT CET 2019 2nd May Morning Shift

The general solution of the differential equation of all circles having centre at $A(-1,2)$ is ........