If the lengths of two tangents drawn from an external point to a circle are equa

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Question: If the lengths of two tangents drawn from an external point to a circle are equal, what can be said about the point?

Options:

Correct Answer: It is outside the circle

Solution:

If the lengths of two tangents from an external point are equal, the point must be outside the circle.

If the lengths of two tangents drawn from an external point to a circle are equal, what can be said about the point?

If the lengths of two tangents drawn from an external point to a circle are equal, what can be said about the point?

Step 1: Understand what a tangent is. A tangent is a line that touches a circle at exactly one point.
Step 2: Recognize that when we draw two tangents from a point outside the circle, they will touch the circle at two different points.
Step 3: If the lengths of these two tangents are equal, it means that the distance from the external point to each point of tangency is the same.
Step 4: Conclude that since the point is outside the circle and the tangents are equal, the point cannot be inside or on the circle.

Properties of Tangents – When two tangents are drawn from an external point to a circle, they are equal in length.
Circle Geometry – Understanding the relationship between points outside a circle and tangents drawn to it.