Only one tangent can be drawn at any particular point on a circle. why?
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what is tangent?
If it is triangle then on a circle 3 points can drawn common so a triangle can be subscribed in a circle.
If it is triangle then on a circle 3 points can drawn common so a triangle can be subscribed in a circle.
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Let P be any point on a Circle with center O
then radius = OP.
If line l containing points P and Q is perpendicular to OP, then OQ > OP because the perpendicular is the shortest distance from a point to a line.
Therefore, every point except P is out side of circle O and the line l must be tangent to the circle.
Thus, at a given point on a circle, one and only one line can be drawn that is tangent to the circle.
then radius = OP.
If line l containing points P and Q is perpendicular to OP, then OQ > OP because the perpendicular is the shortest distance from a point to a line.
Therefore, every point except P is out side of circle O and the line l must be tangent to the circle.
Thus, at a given point on a circle, one and only one line can be drawn that is tangent to the circle.
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