Multiple choice

A tangent is drawn from a point P to a circle, which meets the circle at T such that PT=10.5 cm. A secant PAB intersects the circle in points A and B. If PA=7 cm, what is the length (in cm ) of the chord AB ?

  1. 8.5

  2. 8.75

  3. 7.75

  4. 8.45

Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

By tangent-secant theorem: PT² = PA × PB. Given PT = 10.5 and PA = 7: 10.5² = 7 × PB, so 110.25 = 7 × PB, giving PB = 15.75. Chord AB = PB - PA = 15.75 - 7 = 8.75 cm.