In a circle, if two tangents are drawn from a point outside the circle, what is
Practice Questions
Q1
In a circle, if two tangents are drawn from a point outside the circle, what is the relationship between the lengths of the tangents?
They are equal
They are different
One is longer
Depends on the circle
Questions & Step-by-Step Solutions
In a circle, if two tangents are drawn from a point outside the circle, what is the relationship between the lengths of the tangents?
Step 1: Understand what a tangent is. A tangent is a line that touches a circle at exactly one point.
Step 2: Imagine a circle and a point outside of it. This point is where the two tangents will start.
Step 3: Draw two lines (tangents) from the outside point to the circle. Each line should touch the circle at one point.
Step 4: Label the point outside the circle as 'P', the points where the tangents touch the circle as 'A' and 'B'.
Step 5: Notice that both tangents (PA and PB) come from the same point (P) to different points on the circle (A and B).
Step 6: The key property of tangents is that the lengths of PA and PB are equal because they are both tangents from the same external point to the circle.
