Q1. How many points does a tangent touch the circle?
✔ A tangent intersects the circle at exactly one point called the point of contact.
Q2. What is the angle between radius and tangent?
✔ The radius is always perpendicular to the tangent at the point of contact.
Q3. If radius is 5cm and tangent is 12cm, find distance.
✔ Using Pythagoras theorem, square root of 25 plus 144 equals 13 centimeters.
Show transcript
[Slide 1] What are Tangents and Secants?
Imagine a line touching a circle gently at just one spot. That is called a tangent line. If it cuts through, it becomes a secant line.
[Slide 2] Key Property of Tangents
Remember this golden rule for CBSE exams. The radius drawn to the point of contact is always perpendicular. This forms a ninety-degree angle instantly.
[Slide 3] Solving a Tangent Problem
Let us solve a real problem together now. We have a radius of five and tangent length twelve. Apply Pythagoras theorem to find the hypotenuse OB.
[Slide 4] Avoid This Common Error
Students often assume angles are right without proof. You must confirm the line is a tangent first. Never guess the perpendicularity in geometry questions.
[Slide 5] Quick Summary for Boards
To recap, a tangent meets the circle once. The radius is always perpendicular at that meeting point. Master this for high marks in circles.