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For a positive integer , let be the parabola given by and let be the circle given by .
Then
(a)there is a such that and intersect each other at three distinct points
(b) and intersect each other at least once for all
(c)there are infinitely many values of such that and intersect each other at more than one point
(d)there is a such that and intersect each other exactly once

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Important Questions on Circle
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Statement - I : An equation of a common tangent to these curves is .
Statement - II : If the line, is their common tangent, then satisfies .

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