From any point on the line \( (t+2)(x+y)=1, t \neq-2 \), \( \mathrm...

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From any point on the line \( (t+2)(x+y)=1, t \neq-2 \),
\( \mathrm{P}^{13: 2} \) tangents are drawn to the ellipse \( 4 x^{2}+16 y^{2}=1 \). It is

W 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
(1) 0
(2) 1
(3) 2
(4) 3
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