Circle PYQs - Last 10 Years

MHT CET / Mathematics / Coordinate Geometry / 74 recent questions

MathematicsCoordinate Geometry2017-2026

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Practice 74 MHT CET Mathematics questions from Circle. Use the year-wise and type-wise breakdown to prioritize recent PYQs, then continue into the question list below.

74

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Mathematics / Coordinate Geometry

2019-2026

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61

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2022-2026

74

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2017-2026

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Last 10 Years Circle Questions

Showing 24 of 74 filtered questions.

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 possible values of $m$ are

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

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

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 \(y^2+2 p y-q^2=0\). Then, the equation of the circle with \(A B\) as diameter is given by

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 maximum possible value of \(\lambda\) is

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

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

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 value of \(r^2-r+1\) is

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

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

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 is

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

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

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

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

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

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

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

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

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

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

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

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 .............

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 ............