CircleHard

Question

A variable circle is described to passes through the point (1, 0) and tangent to the curve y = tan(tan-1 x). The locus of the centre of the circle is a parabola whose -

Options

A.length of the latus rectum is 2 √2
B.axis of symmetry has the equation x + y = 1
C.vertex has the co-ordinates (3/4, 1/4)
D.none of these

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