Parabola
Locus of chord midpoints
Grade 11
Question:
<p>Locus of midpoints of chords of parabola, which subtend a right angle at vertex of parabola is:</p>
<p>(a) \(y^2 - 4x + 32 = 0\)</p>
<p>(b) \(y^2 + 4x - 32 = 0\)</p>
<p>(c) \(y^2 - 32x + 4 = 0\)</p>
<p>(d) \(y^2 + 32x - 4 = 0\)</p>
Step-by-Step Solution
Key Concept: Use the condition that chords subtend a right angle at the vertex to establish a relationship between the coordinates of the midpoint.
<p>Solution not provided in text. The locus is derived by using the condition that the chords subtend a right angle at the vertex and finding the relationship between the midpoint coordinates.</p>
Correct Answer: B