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Q.

Let  x1 and y1  be the roots of x2+9x2023=0 ; x2  and y2  be the roots of 4x2+36x2024=0 ; and  x3 and y3  be the roots of  5x2+45x2025=0. Then the area of triangle formed by points  (x1,y1),(x2,y2)  and  (x3,y3) is ___________

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Detailed Solution

The points all be online x + y = 9.

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Let  x1 and y1  be the roots of x2+9x−2023=0 ; x2  and y2  be the roots of 4x2+36x−2024=0 ; and  x3 and y3  be the roots of  5x2+45x−2025=0. Then the area of triangle formed by points  (x1,y1),(x2,y2)  and  (x3,y3) is ___________