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  • Prove the tangent drawn at any point of a circle is perpendicular to the radius through the point of contact         

Prove the tangent drawn at any point of a circle is perpendicular to the radius through the point of contact 

 

 

 

 
 
 
 
 

Answers (1)

Given circle with center O 

tangent XY with point of contact at A 

To prove  OA \perp XY 

proof: Let B be the point XY 

connect point B with O 

suppose  OB touches the circle at C 

Hence , OB > OC 

OB > OA 

same will be the care with all other points on the circle 

 Hence, OA is the shortest line that connects XY and the smallest line is always perpendicular 

Hence OA \perp XY 

Posted by

Ravindra Pindel

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