A line passing through the point \( (3,4) \) and making an angle \(... VIDEO
A line passing through the point \( (3,4) \) and making an angle \( \theta \) with the positive direction of \( x \)-axis, intersects the line \( x+y=8 \) at a distance \( \frac{1}{3} \sqrt{6} \) units from the point, then \( \theta \) is equal to
(a) \( -\frac{\pi}{12} \)
(b) \( \frac{\pi}{12} \)
(c) \( \frac{5 \pi}{12} \)
(d) \( \frac{7 \pi}{12} \)
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\begin{array}{l}
P: x^{2}-y^{2}+2 y-1=0 \\
L: x+y=3
\end{array}
... 2023-02-25 \[
\begin{array}{l}
P: x^{2}-y^{2}+2 y-1=0 \\
L: x+y=3
\end{array}
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Column 2
(a) \( \sin ^{-1} x+\sin ^{-1} 2 x=\pi / 3 \)
(p)...