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Study Stuff for MCA Examinations

Study Stuff for MCA Examinations

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

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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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The point of intersection os circle and the line is

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

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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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Find the number of point(s) of intersection of the
ellipse and the circle x^{2} + y^{2} = 4

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