Points $A$, $B$, $C$ and $D$ lie on a circle. The tangent to the circle at $A$ meets \(BD\

Question

Points $A$, $B$, $C$ and $D$ lie on a circle. The tangent to the circle at $A$ meets $BD$ produced at $E$. $AE$ is parallel to $BC$. Prove that $AB = AC$.[3] $\angle CDE = 2\angle ABC$.[3]

Accepted Answer

(i) $AB=AC$ (proven) (ii) $\angle CDE=2\angle ABC$ (shown)

2024 FMSS PRELIMS P1 Q3

2024 FMSS PRELIMS P1 Q3

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