# A variable circle passes through the fixed point and touches axis.  The locus of the other end of the diameter through is Option 1) Option 2) Option 3) Option 4)

As we learnt in

Equation of a circle -

- wherein

Circle with centre and radius .

Circle touching x-axis and having radius r -

- wherein

Where f is a variable parameter.

Let the other diametric end be P(h,k)

So centre is

For circle touching x-axis, radius =

we get (h-p)2=4kg

i.e. (x-p)2=4qy. a parabola

Option 1)

This option is incorrect

Option 2)

This option is incorrect

Option 3)

This option is correct

Option 4)

This option is incorrect

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