Let T be the tangent to the ellipse E:x2+4y2=5 at the point P(1,1). If – InterviewSolution

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 is α√5+β+γcos−1(1√5), then \|α+β+γ\| is equal to
Answer» Let $T$ be the tangent to the ellipse $E : x^{2} + 4 y^{2} = 5$ at the point $P (1, 1) .$ If the area of the region bounded by the tangent $T$ , ellipse $E$ , lines $x = 1$ and $x = \sqrt{5}$ is $α \sqrt{5} + β + γ {cos}^{- 1} (\frac{1}{\sqrt{5}})$ , then $\| α + β + γ \|$ is equal to

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