Area with lines

Geometry Level pending

Consider any parabola. A horizontal line having intercept \(c\) on the \(y\)-axis bounds area \(A\) with parabola. Now, this horizontal line is rotated by an angle \(B<90^\circ\), keeping \(y\)-intercept same.

If it is rotated in the clockwise direction, then the new area is \(A_1\). if it is rotated in the clockwise direction. then the new area is \(A_2\)

Which relation is always true for \(A,A1,A2\)?

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