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The locus of the centre of a circle that passes through \mathrm{P(a, b)} and touch the line \mathrm{y=m x+c}  (it is given that \mathrm{b \neq m a+c}) is

Option: 1

a straight Circle


Option: 2

circle


Option: 3

parabola


Option: 4

hyperbola


Answers (1)

best_answer

Let \mathrm{O}(\mathrm{h}, \mathrm{k}) be the centre of circle

Clearly distance of \mathrm{O} form \mathrm{P} and the line \mathrm{y=m x+c} will be equal

Thus locus of \mathrm{P} will be a parabola.

Posted by

Ritika Harsh

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