$P$ is a variable point on the ellipse $\frac{{{x^2}}}{{{a^2}}} + \frac{{{y^2}}}{{{b^2}}} = 1$ with $AA'$ as the major axis. Then the maximum value of the area of $\Delta APA'$ is
$P$ is a variable point on the ellipse $\frac{{{x^2}}}{{{a^2}}} + \frac{{{y^2}}}{{{b^2}}} = 1$ with $AA'$ as the major axis. Then the maximum value of the area of $\Delta APA'$ is
- A
$\left| {ab} \right|$
- B
$\left| {\frac{{ab}}{2}} \right|$
- C
$\left| {2ab} \right|$
- D
$\left| {\frac{{ab}}{4}} \right|$
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- [JEE MAIN 2021]