Q. 35.0( 2 Votes )

Find the locus of ce

Answer :

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

Rate this question :

How useful is this solution?
We strive to provide quality solutions. Please rate us to serve you better.
Related Videos
Area Related to Circles- Important Formula and ConceptsArea Related to Circles- Important Formula and ConceptsArea Related to Circles- Important Formula and Concepts59 mins
Try our Mini CourseMaster Important Topics in 7 DaysLearn from IITians, NITians, Doctors & Academic Experts
Dedicated counsellor for each student
24X7 Doubt Resolution
Daily Report Card
Detailed Performance Evaluation
caricature
view all courses
RELATED QUESTIONS :

Draw the graph ofNCERT - Mathematics