Parabola
Chord properties
Grade 11

Question:

<p>The locus of the middle point of the chords of parabola \(y^2 = 4x\) are of given length 2 is</p>

Step-by-Step Solution

Key Concept: Apply the constraint that chord length is constant and derive the locus equation.
<p>For chords of fixed length, the locus of midpoints is a parabola. Using the length constraint and eliminating the parameter, the locus is \(y^2 = 2(x+2)\).</p>
Correct Answer: r

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