<p>The locus of the middle point of the chords of parabola \(y^2 = 4x\) which subtend a constant angle \(\frac{\pi}{4}\) at the vertex is</p>
Step-by-Step Solution
Key Concept: Use the angle subtended by a chord at the vertex to establish a relationship between coordinates of midpoint.
<p>For chords subtending a constant angle \(\frac{\pi}{4}\) at the vertex, using the angle condition and midpoint locus, we get \(y^4 + (4-2x)y^2 + 8 = 0\).</p>
Correct Answer: q