Locus(Circle)

[varun_kanpur]

I am not able to find the solution of this problem:

O is a fixed point and P any point on a given straight line
OP is joined and on it is taken a point Q such that OP . OQ = k*k
prove that the locus of Q, i. e. the inverse of the given straight line
with respect to 0, is a circle which passes through O.

Thanx in Advance

 

[stapel]

I am not able to find the solution of this problem:

O is a fixed point and P any point on a given straight line
OP is joined and on it is taken a point Q such that OP . OQ = k*k
prove that the locus of Q, i. e. the inverse of the given straight line
with respect to 0, is a circle which passes through O.

When you say "find", do you mean "figure out for myself" or "locate"?