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  • A line intersect the axes at <img alt="\mathrm{A}" src="https://entran

A line \mathrm{2 x+3 y=5} intersect the axes at \mathrm{A} and \mathrm{B}. Locus of the centre of the family of the circle passing through \mathrm{A} and \mathrm{B} is

Option: 1

\mathrm{36 x+24 y+25=0}


Option: 2

\mathrm{24 x+36 y+25=0}


Option: 3

\mathrm{36 x-24 y-25=0}


Option: 4

\mathrm{24 x-36 y-25=0}


Answers (1)

best_answer

 Locus of the centre of the family of the circle passing through A and B will be perpendicular side bisector of A B

Hence (C) is the correct answer.

Posted by

Rakesh

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