Question

pls solve this step by step and also define what is locus
pls brainlist do fast

Answer 1

Given: Circles with centres O,O',O" touching line T at P.

To prove : To find the locus of centres of circles which touch a given line at a given point.

Proof: As OP,O'P,O"P are the radii of the circles touching line T at P, it is

perpendicular to the given line.

∴ OP,O'P,O"P represent the same straight line passing through P and ⟂ to PT.

Hence the locus of the centres of circles which touch a given a line at a given

point is a straight line to the given line at the given point.

In geometry, a locus is a set of all points, whose location satisfies or is determined by one or more specified conditions.

In other words, the set of the points that satisfy some property is often called the locus of a point .

Hope it helps you!