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If the points of intersection of two distinct conics `x^(2)+y^(2)=4b" and "(x^(2))/(16)+(y^(2))/(b^(2))=1` lie on the curve `y^(2)=3x^(2)` ,then `3sqrt(3)` times the area of the rectangle formed by the intersection points is____________

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JEE MAINS PREVIOUS YEAR-JEE MAIN 2024 ACTUAL PAPER-Question
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