A variable circle passes through the fixed point and touches axis. The locus of the other end of the diameter through is
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
Radius =
For circle touching x-axis, radius =
we get (h-p)2=4kg
i.e. (x-p)2=4qy. a parabola
Option 1)
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Option 2)
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Option 3)
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Option 4)
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