Find the value of x in the diagram below
MATHEMATICS
JAMB 2023
Find the value of x in the diagram below
- A. 10 units
- B. 15 units
- C. 5 units
- D. 20 units
Correct Answer: A. 10 units
Explanation
Intersecting Chords Theorem states that If two chords intersect in a circle, then the products of the measures of the segments of the chords are equal.
⇒ AE * EB = CE * ED
⇒ 6 * \(x\) = 4 * (\(x\) + 5)
⇒ 6\(x\) = 4\(x\) + 20
⇒ 6\(x\) - 4\(x\) = 20
⇒ 2\(x\) = 20
∴ \(x = \frac{20}{2}\) = 10 units
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