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Please solve Q9
If 3 \(\sin ^{2} A+2 \sin ^{2} B=1\) and 3 \(\sin 2 A-2 \sin 2 B=0\), where A and B are acute angles, then \(A+2 B\) is equal to
(a) \(\frac {\pi}{3}\)
(b) \(\frac {\pi}{4}\)
(c) \(\frac {\pi}{2}\)
(d) none of these
Updated Thu, 23 May 2019 03:34 pm
Please give the solution for this question
If an angle between the line, \(\frac {x + 1}{2} = \frac {y - 2}{1} = \frac {z - 3}{-2}\) and the plane, \(x-2 y-\mathrm{k} z=3\)is \(\cos ^{-1}\left(\frac{2 \sqrt{2}}{3}\right)\), then a value of \(k\) is :
(a) \(\sqrt{\frac{5}{3}}\)
(b) \(\sqrt{\frac{3}{5}}\)
(c) \(-\frac{3}{5}\)
(d) \(-\frac{5}{3}\)
Updated Thu, 23 May 2019 02:50 pm