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Area between an ellipse and the chord joining the ends of its axes in the first quadrant

The same question, asked 2 times: 20 Apr 2025 S1*, 20 Apr 2025 S2. Every wording below, oldest first.

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  1. Question 1

    20 Apr 2025 S1

    121
    The area of the region bounded by x29+y24=1\frac{x^{2}}{9}+\frac{y^{2}}{4}= 1 and the line x3+y2=1\frac{x}{3}+\frac{y}{2}= 1 is

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  2. Question 2

    20 Apr 2025 S2

    118
    AOB is the positive quadrant of the ellipse x225+y29=1\frac{x^{2}}{25}+\frac{y^{2}}{9}= 1 in which OA=5,OB=3OA = 5,OB = 3. The area between the arc ABAB and the chord ABAB of the ellipse in sq. units is

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