<p>The point \(A\) represents a fixed complex number \(a\) where&nbsp;\(\frac{\pi}{4} &lt; \arg(a) &lt; \frac{\pi}{2}\). The complex numbers \(-ia\) and \(-a\) are represented by the points \(B\) and \(C\) respectively.</p>
<p>On a single clearly labelled Argand diagram, mark the points \(A\), \(B\) and \(C\).</p>
<p>Describe the geometrical relationship between</p>
<ol class="i-list"><li><div class="list-item-content"><span class="list-item-text">\(A\) and \(B\), and</span></div></li><li><div class="list-item-content"><span class="list-item-text">\(A\) and \(C\).</span></div></li></ol>

The point \(A\) represents a fixed complex number \(a\) where \(\frac{\pi}{4} < \arg(a) < \frac{\pi}{2}\). The complex numbers \(-ia\) and \(-a\) are represented by the points \(B\) and \(C\) respectively.

On a single clearly labelled Argand diagram, mark the points \(A\), \(B\) and \(C\).

2023 TJC NYJC VJC FM P1 Q6

2023 TJC NYJC VJC FM P1 Q6

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