Question

The maximum number of tangents drawn from an external point to a circle will be

• A. one
• B. two
• C. three
• D. four

Hint:

From an external point to a circle, exactly two tangents can be drawn, and both are equal in length.

Answer 1

The Correct Option is B

Step 1: Understanding the concept.
From an external point, we can draw tangents to a circle such that each tangent touches the circle at exactly one point.
Step 2: Visualize the geometry.
If we take any external point \( P \) outside a circle with center \( O \), two tangents can be drawn from \( P \), touching the circle at points \( A \) and \( B \). Both tangents are equal in length, i.e., \( PA = PB \).
Step 3: Conclusion.
Hence, the maximum number of tangents that can be drawn from an external point to a circle is two.