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Ellipse question

2023 · 24 Jan · Shift 1 · Q40
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  5. /2023 · 24 Jan · Shift 1 · Q40

Ellipse question

2023 · 24 Jan · Shift 1 · Q40

JEE MainMathematicsEllipseNumerical+4 / −1
Let C be the largest circle centred at (2, 0) and inscribed in the ellipse x236+y216=1{{{x^2}} \over {36}} + {{{y^2}} \over {16}} = 136x2​+16y2​=1. If (1, α\alphaα) lies on C, then 10 α2\alpha^2α2 is equal to ‾\underline{\hspace{2cm}}​
Numerical answer
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