Parabola
Tangent to Parabola
Grade 11
Question:
<p>If the tangent at the point <span class='math'>P(2, 4)</span> to the parabola <span class='math'>y^2 = 8x</span> meets the parabola <span class='math'>y^2 = 8x + 5</span> at Q and R, then the mid-point of QR is</p>
<p>(a) <span class='math'>(3, 5)</span></p>
<p>(b) <span class='math'>(2, 4)</span></p>
<p>(c) <span class='math'>(1, 4)</span></p>
<p>(d) <span class='math'>(4, 3)</span></p>
Step-by-Step Solution
Key Concept: Find the equation of the tangent at point P on the first parabola, then find where it intersects the second parabola.
<p>No solution provided in text.</p>
Correct Answer: A