Question

Prove that only one tangent can be drawn to any point located on the circle.

plz guys don't answer wrong ..​

Answer 1

Step-by-step explanation:

If possible, Let PT and PT' be two tangents at a point P of the circle. Now, the tangent at any point of a circle is perpendicular to the radius through the point of contact. This is possible only when PT and PT' coincide. Hence, there is one and only one tangent at any point on the circumference of a circle

Answer 2

Answer:

Let P be any point on the circle with center O

OP=radius

Take a line L through P and Q as shown if L is perpendicular to OP

OQ⊥OP because the perpendicular distance is shortest.

Every point except P lies outside the circle and line l must be a tangent.

At any given point on the circle, only one tangent can be drawn.