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NVAMediumJEE Main 2023 · 6 April, Shift 1Basics: Distance, Section Formula, Locus

Mathematics Question from JEE Main 2023 · 6 April, Shift 1

Let the point (p,p+1)(p, p + 1) lie inside the region E={(x,y):3−x≤y≤9−x2,  0≤x≤3}E = \left\{(x,y): 3 - x \le y \le \sqrt{9 - x^2},\; 0 \le x \le 3\right\}. If the set of all values of pp is the interval (a,b)(a, b), then b2+b−a2b^2 + b - a^2 is equal to:

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