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From any point on the line (t+2)(x+y) =1...

From any point on the line `(t+2)(x+y) =1, t ne -2`, tangents are drawn to the ellipse `4x^(2)+16y^(2) = 1`. It is given that chord of contact passes through a fixed point. Then the number of integral values of 't' for which the fixed point always lies inside the ellipse is

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