 Hello and welcome to the session. I am Deepika here. Let's discuss the question which says prove that the corpandicular at the point of contact to the tangent to a circle passes through the center. We know that a tangent to a circle is a line that intersects the circle. Only one point. The common point of the tangent circle is called the point of contact. This is the key idea behind our question. We will take the help of this key idea to solve the above question. Let's start the solution. We have given pt is a tangent to this circle with center o is a point of contact. We have to prove that the corpandicular at the point of contact to the tangent to a circle passes through the center. That is pt is corpandicular to ot and corpandicular to ot. That will be a point of intersection with the circle. Because according to our key idea a tangent to a circle is a line that intersects the circle at only one point. The point of intersection with the circle then not a tangent to the circle contrary to our assumption. Because we have assumed that pt is a tangent to the circle is corpandicular to ot. That is the corpandicular at the point of contact to the tangent to a circle passes through the center. This proved. I hope the solution is clear to you. Bye and take care.