<p>The locus of the middle point of the chords of parabola \(y^2 = 4x\) that subtend a constant angle \(\frac{\pi}{4}\) at the vertex is</p>
Step-by-Step Solution
Key Concept: Apply the angle condition at vertex and use parametric representation to find the locus.
<p>For chords subtending a constant angle \(\frac{\pi}{4}\) at the vertex, use the angle condition between two focal chords and find the locus of midpoints.</p><p>The locus is: \(y^4 + (4-2x)y^2 + 8 = 0\)</p>
Correct Answer: q