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A variable circle passes through the fixed point A(p, q) and touches x-axis.

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A variable circle passes through the fixed point A(p, q) and touches x-axis. The locus of the other end of the diameter through A is
(a) (y – p)2 = 4qx (b) (x – q)2 = 4py
(c) (x – p)2 = 4qy (d) (y – q)2 = 4px.

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1 Answer

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(c) : Equation of circle AB as diameter is given by
(x – p) (x – α) + (y – q) (y – β) = 0

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