Parabola
Parabola with Non-Standard Orientation
Grade 11
Question:
<p>Axis of a parabola is <span class='math'>y = x</span> and vertex and focus are at a distance <span class='math'>\sqrt{2}</span> and <span class='math'>2\sqrt{2}</span> respectively from the origin. Then, equation of the parabola is</p>
<p>(a) <span class='math'>(x - y)^2 = 8(x + y - 2)</span></p>
<p>(b) <span class='math'>(x + y)^2 = 2(x + y - 2)</span></p>
<p>(c) <span class='math'>(x - y)^2 = 4(x + y - 2)</span></p>
<p>(d) <span class='math'>(x + y)^2 = 2(x - y + 2)</span></p>
Step-by-Step Solution
Key Concept: Use the axis direction, distances of vertex and focus from origin to set up the parabola with axis along <span class='math'>y = x</span>.
<p>No solution provided in text.</p>
Correct Answer: C