 Hello and welcome to the session I am Deepika here. Let's discuss the question which says choose the correct option and hit justification. From a point Q the length of the tangent to a circle is 24 centimeter and the distance of Q from the center is 25 centimeter. The radius of the circle is a 7 centimeter, b 12 centimeter, c 15 centimeter and d 24.5 centimeter. Let us first understand the tangent to a circle. Now a tangent to a circle is a line that intersects a circle at only one point. So this is a key idea behind our question. We will take the help of this key idea to solve the above question. So let's start the solution. We have a circle with center O from a point Q the length of the tangent to a circle is 24 centimeter. Now we know that the common point of a tangent to a circle and the circle is called the point of contact and the tangent at any point of a circle is perpendicular to the radius to the point of contact and the distance of Q from the center is 25 centimeter. So hence we are given a circle which center O is equal to 24 centimeter and O Q is equal to 25 centimeter. So we have a triangle O P Q right angle at P. So in right triangle O P Q now and O Q are given to us we want to find O P. So we have O P is equal to under root of is equal to root of 25 square minus 24 square and this is equal to under root of 49 because 25 square minus 24 square is equal to 25 plus 24 into 25 minus 24. Now 25 plus 24 is 49 into 1 it is equal to 49 only. So this is equal to 7 centimeter. Hence the radius of the circle is hence the correct option is A and this is our answer. I hope the solution is clear to you. Bye and take care.