Parabola
Distance from Line to Parabola
Grade 11
Question:
<p>The shortest distance between the line <span class='math'>y = x</span> and curve <span class='math'>y^2 = x - 2</span> is</p>
<p>(a) <span class='math'>2</span></p>
<p>(b) <span class='math'>\frac{7}{8}</span></p>
<p>(c) <span class='math'>\frac{11}{4\sqrt{2}}</span></p>
<p>(d) <span class='math'>\frac{7}{4\sqrt{2}}</span></p>
Step-by-Step Solution
Key Concept: Find the minimum distance from the line to the parabola using perpendicular distance formula and optimization.
<p>No solution provided in text.</p>
Correct Answer: D