Question

How many tangents can be drawn to a circle through a point lying outside the circle?

Hint:

Remember: From a point outside a circle, exactly two tangents can be drawn. From a point on the circle, only one tangent can be drawn.

Answer 1

Step 1: Understand the position of the point.}
A point lying outside a circle is called an external point. From such a point, tangents can be drawn to touch the circle without cutting it.

Step 2: Recall the tangent property.}
A tangent touches the circle at exactly one point. From an external point, it is always possible to draw two distinct tangents to the circle.

Step 3: State the result.}
Therefore, the number of tangents that can be drawn to a circle from a point lying outside the circle is:
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