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Area Under the Curves question

2021 · 20 Jul · Shift 1 · Q41
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  5. /2021 · 20 Jul · Shift 1 · Q41

Area Under the Curves question

2021 · 20 Jul · Shift 1 · Q41

JEE MainMathematicsArea Under the CurvesNumerical+4 / −1
Let T be the tangent to the ellipse E : x2 + 4y2 = 5 at the point P(1, 1). If the area of the region bounded by the tangent T, ellipse E, lines x = 1 and x = 5\sqrt 55​ is α5\alpha\sqrt 5α5​+β\betaβ+γ\gammaγ cos −-− 1 (15)\left( {{1 \over {\sqrt 5 }}} \right)(5​1​), then |α\alphaα+β\betaβ+γ\gammaγ| is equal to ‾\underline{\hspace{2cm}}​.
Numerical answer
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