Game:

Counter-Strike: Source (2004)

Duration: 11:16

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\begin{tabular}{|l|l|} \hline (A) If the tangent to the ellipse \( x^{2}+4 y^{2} \) \\ \( P(4 \cos \phi, 2 \sin \phi) \quad \) is a normal \\ \( x^{2}+y^{2}-8 x-4 y=0 \) then \( \frac{\phi}{2} \) may be \end{tabular}
(B) The eccentric angle(s) of a point on the ellipse (Q) \( x^{2}+3 y^{2}=6 \) at a distance 2 units from the centre of the ellipse is/are
(C) The eccentric angle of point of intersection of the ellipse (R) \( x^{2}+4 y^{2}=4 \) and the parabola \( x^{2}+1=y \) is
\( P \)
W. \( \cos ^{-1}\left(-\frac{2}{3}\right) \)
(D) If the normal at the point \( P(\sqrt{14} \cos \theta, \sqrt{5} \sin \theta) \) to the
(S) ellipse \( \frac{x^{2}}{14}+\frac{y^{2}}{5}=1 \) intersect it again at the point \( Q(\sqrt{14} \cos 2 \theta, \sqrt{5} \sin 2 \theta) \), then \( \theta \) is
(T)
\[
\frac{\pi}{2}
\]
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