Test Index

JAMB Mathematics 2023 Paper

Question : 67

Total: 80

Find the value of x in the diagram above

10 units
15 units
5 units
20 units

Solution:

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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