EllipseHardBloom L3
Question
If base of a triangle is the major axis of the ellipse $\frac{x^{2}}{16} + \frac{y^{2}}{9} = 1$ and third vertex moves on the ellipse, then maximum area of triangle will be:
Options
A.6
B.72
C.12
D.none of these
Solution
Sol.(c) For area to become maximum altitude should be maximum
$\Rightarrow \ P(0,3)$ or $P(0, - 3)$
$$( \bigtriangleup PAB)_{\max} = \frac{1}{2} \times 8 \times 3 = 12$$
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