Let {T} be the tangent to the ellipse {E}: {x}^{2}+4 {y}^{2}=5at the point {P}(1,1) . If the area of the region bounded by the tangent T, ellipse E, lines x=1 and {x}=\\sqrt{5} is \\alpha\\sqrt{5}+\\beta+\\gamma\cos ^{-1}({1}/{\\sqrt{5}), then|\\alpha+\\beta+\\gamma| is equal to __________. [20 Jul 2021 Shift 1]

Area Under The Curves Part 1

Section: Mathematics

Question : 47 of 100

Marks: +1, -0

Let T be the tangent to the ellipse E:x2+4y2=5at the point P(1,1). If the area of the region bounded by the tangent T, ellipse E, lines x=1 and x=√5 is α√5+β+γcos−1(

√5

), then|α+β+γ| is equal to __________.

[20 Jul 2021 Shift 1]

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