Parabola
Focal Chord Properties
Grade 11
Question:
<p>The triangle PQR of area A is inscribed in the parabola <span class='math'>y^2 = 4ax</span> such that the vertex P lies at the vertex of the parabola and the base QR is a focal chord. The modulus of the difference of the ordinates of the points Q and R is</p>
<p>(a) <span class='math'>\frac{A}{2a}</span></p>
<p>(b) <span class='math'>\frac{A}{a}</span></p>
<p>(c) <span class='math'>\frac{2A}{a}</span></p>
<p>(d) <span class='math'>\frac{4A}{a}</span></p>
Step-by-Step Solution
Key Concept: Use the property of focal chord and the area formula to relate the difference of ordinates to the area A.
<p>No solution provided in text.</p>
Correct Answer: D