Mathematics · important

Area using symmetry for JEE

Determining areas of the regions bounded by simple curves in standard forms

Formula

\[\text{Total Area}=2\times \text{Area of one symmetric part}\quad \text{or}\quad 4\times \text{Area of one quadrant part}\]

Conditions: Use only when the region is symmetric about an axis or the origin.

Circles, parabolas, ellipses, and symmetric bounded regions.

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