Question

A rectangle is inscribed in the parabola \[ y=9-x^{2} \] such that two of its vertices are on the X-axis and another two on the parabola. The dimensions of such rectangle lying above the X-axis and having maximum area is:

• A. \(6,\;5\sqrt3\)
• B. \(6,\;2\sqrt3\)
• C. \(9,\;6\)
• D. \(5,\;3\)

Hint:

For rectangles inscribed in symmetric curves, use symmetry to reduce the problem to a single variable optimization problem.

Answer 1

The Correct Option is B