JAMB Mathematics 2023 Paper

Concept:The intersecting chords theorem states that when two chords intersect inside a circle, the products of the segments of each chord are equal.Explanation:Using the intersecting chords theorem on the given diagram: $AE \times EB = CE \times ED$ Substitute the given lengths: $6 \times x = 4 \times (x + 5)$ Expand the right-hand side: $6x = 4x + 20$ Collect like terms: $6x - 4x = 20$ $2x = 20$ Divide both sides by 2: $x = \frac{20}{2} = 10$ unitsAnswer:$x = 10$ units. Therefore, the correct option is A.