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MCA NIMCET Previous Year Questions (PYQs)

MCA NIMCET Circle PYQ

MCA NIMCET PYQ
The equation of the circle passing through the point (4,6) and whose diameters are along x + 2y - 5 =0 and 3x - y - 1=0 is





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MCA NIMCET Previous Year PYQMCA NIMCET NIMCET 2019 PYQ

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MCA NIMCET PYQ

For the two circles $x^2+y^2=16$ and $x^2+y^2-2y=0$, there is/are






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MCA NIMCET Previous Year PYQMCA NIMCET NIMCET 2019 PYQ

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MCA NIMCET PYQ
The number of common tangents to the circle  $x^2+y^2=4$ and $x^2+y^2-6x-8y=24$ is





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MCA NIMCET Previous Year PYQMCA NIMCET NIMCET 2021 PYQ

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MCA NIMCET PYQ
The point of intersection os circle  and the line  is





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MCA NIMCET Previous Year PYQMCA NIMCET NIMCET 2018 PYQ

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MCA NIMCET PYQ
The circles whose equations are  and  will touch one another externally, if





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MCA NIMCET Previous Year PYQMCA NIMCET NIMCET 2018 PYQ

Solution

MCA NIMCET PYQ
A line passing through P(4, 2) meets the x and y-axis at P and Q respectively. If O is the origin, then the locus of the centre of the circumcircle of ΔOPQ is -





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MCA NIMCET Previous Year PYQMCA NIMCET NIMCET 2018 PYQ

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MCA NIMCET PYQ
Find the number of point(s) of intersection of the ellipse  and the circle  x2 + y2 = 4





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MCA NIMCET Previous Year PYQMCA NIMCET NIMCET 2020 PYQ

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MCA NIMCET PYQ
A circle touches the X-axis and also touches another circle with centre at (0, 3) and radius 2. Then the locus of the centre of the first circle is





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MCA NIMCET Previous Year PYQMCA NIMCET NIMCET 2015 PYQ

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MCA NIMCET PYQ
The radius of the circle passing through the foci of the ellipse $\frac{x^2}{16}+\frac{y^2}{9}$and having it centre at (0, 3) is





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MCA NIMCET Previous Year PYQMCA NIMCET NIMCET 2015 PYQ

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MCA NIMCET PYQ
If two circles $x^{2}+y^{2}+2gx+2fy=0$ and $x^{2}+y^{2}+2g'x+2f'y=0$ touch each other then whichof the following is true?





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MCA NIMCET Previous Year PYQMCA NIMCET NIMCET 2015 PYQ

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