Q11. - Geometry

Question

To find the position of the center of circle respect to line $l$and point $l$. 

Step-by-Step Solution

Answer

This means that the line drawn from $X$ to the center is perpenduclar to $l$ at $X$. .   

Step 1. Given information.

  Line $l$; points $X$and $Y$ .

A circle through $Y$and  tangent to $l$at $X$ .

 

Given figure,  

Step 2. Concept Used.

 Observe the figure. 

     If a line is tangent to a circle, then the line is perpendicular to the radius drawn to the points of tangency.

       This means that the line drawn from $X$ to the center is perpendicular to $l$ at $X$.