Question

From an external point P, two tangents PA and PB are drawn on a circle. If PA = 8 cm then PB =

• A. 6 cm
• B. 8 cm
• C. 12 cm
• D. 16 cm

Hint:

Always remember this key property of circles: tangents from the same external point are equal in length. This is a frequently tested concept.

Answer 1

The Correct Option is B

Step 1: Understanding the Concept:
This question is based on a fundamental theorem in circle geometry. The theorem states that the lengths of the two tangents drawn from an external point to a circle are equal.

Step 2: Key Formula or Approach:
Theorem: If PA and PB are two tangents to a circle from an external point P, then PA = PB.

Step 3: Detailed Explanation:
According to the theorem, the lengths of the tangents from the external point P to the circle are equal.
We are given that PA and PB are the two tangents from point P.
The length of one tangent, PA, is given as 8 cm.
Therefore, the length of the other tangent, PB, must be equal to PA.
\[ PB = PA = 8 \text{ cm} \]

Step 4: Final Answer:
The length of PB is 8 cm. This corresponds to option (B).