1.If the system of equationsx+(2sinα)y+(2cosα)z=0x + (\sqrt{2}\sin\alpha)y + (\sqrt{2}\cos\alpha)z = 0x+(2sinα)y+(2cosα)z=0x+(cosα)y+(sinα)z=0x + (\cos\alpha)y + (\sin\alpha)z = 0x+(cosα)y+(sinα)z=0x+(sinα)y−(cosα)z=0x + (\sin\alpha)y - (\cos\alpha)z = 0x+(sinα)y−(cosα)z=0has a non-trivial solution, then α∈(0,π2)\alpha \in \left(0, \frac{\pi}{2}\right)α∈(0,2π) is equal to:a.π12\frac{\pi}{12}12πb.π8\frac{\pi}{8}8πc.π6\frac{\pi}{6}6πd.π4\frac{\pi}{4}4πLogin to continueOnly logged in users canattempt or see the solution.
