C is the centre of a circle of radius 20 cm. AB is a chord of length 32 cm. E is a point on AB such that CE=13 cm. What is AE\times EB equal to?
- A. 231 square cm ✓
- B. 256 square cm
- C. 272 square cm
- D. 297 square cm
Correct Answer: A. 231 square cm
Explanation
By the intersecting chords theorem (Power of a Point), AE \times EB = R^2 - CE^2 = 20^2 - 13^2 = 400 - 169 = 231.
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