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<p>The diagram shows a circle passing through the vertices of a triangle \(ABC\). Points \(D\) and \(E\) are the midpoints of \(AB\) and \(AC\) respectively. The tangent to the circle at \(C\) meets \(DE\) extended at the point \(T\). Prove that points \(A\), \(D\), \(C\) and \(T\) lie on a circle.<span class="inline-marks">[5]</span></p>

The diagram shows a circle passing through the vertices of a triangle \(ABC\). Points \(D\) and \(E\) are the midpoints of \(AB\) and \(AC\) respectively. The tangent to the circle at \(C\) meets \(DE\) extended at the point \(T\). Prove that points \(A\), \(D\), \(C\) and \(T\) lie on a circle.

2025 SST PRELIMS P1 Q5

2025 SST PRELIMS P1 Q5