4MA0 Higher June 2014 Paper 3 Q16

EdexcelHigherOld spec2 marksCircle Theorems

16 AEC and DEB are chords of a circle.

Circle with chords AEC and DEB crossing at E; AE = 4 cm, EC = 9 cm, DE = x cm, EB = x cm

Diagram NOT accurately drawn

\(AE = 4\) cm.
\(CE = 9\) cm.
\(DE = BE = x\) cm.

Calculate the value of \(x\).

(2)