one and only one tangent can be drawn through a point on a circle. proof explanation

Dear Student,

If the P is the ponit on circle, through which tangent is drawn. That means the angle between the tangent and the Line joining PO (O is the center of the circle). will be 90 degree. Now if we slightly change the angle then firstly the angle will not remain 90 degree. Secondly the line will become secant (not tangent).

Thanks.

This can pe proved by method of contradiction. Take two lines at a point and assume them to be tangents. SInce only one of them can be perpendicular you can prove like this with help of perpendicular.