The set of real value of α for which the system of linear equations x+(\sin \\alpha) y+(\cos \\alpha) z=0 x+(\cos \\alpha) y+(\sin \\alpha) z=0 -x+(\sin \\alpha) y-(\cos \\alpha) z=0 has a non trivial solution is

Correct Answer is : nπ2+(−1)nπ8−π8(n is an integer )

\frac{n \\pi}{2}+(-1)^{n} \frac{\\pi}{4}+ \frac{\\pi}{8}(n is an integer )

\frac{n \\pi}{2}+(-1)^{n} \frac{\\pi}{8}(n is an integer )

\frac{n \\pi}{2}+(-1)^{n} \frac{\\pi}{8}-\frac{\\pi}{8}(n is an integer )

\frac{n \\pi}{2}+(-1)^{n} \frac{\\pi}{4}- \frac{\\pi}{8}(n is an integer )

TS EAMCET 4 May 2018 Shift 2 Solved Paper

Section: Mathematics

Question : 6 of 160

Marks: +1, -0

The set of real value of α for which the system of linear equations
x+(sin‌α)y+(cos‌α)z=0
x+(cos‌α)y+(sin‌α)z=0
−x+(sin‌α)y−(cos‌α)z=0
has a non trivial solution is

nπ
2
+(−1)n
π
4
+
π
8
(n is an integer )
nπ
2
+(−1)n
π
8
(n is an integer )
nπ
2
+(−1)n
π
8
−
π
8
(n is an integer )
nπ
2
+(−1)n
π
4
−
π
8
(n is an integer )

Validate

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1	sin‌α	cos‌α
1	cos‌α	sin‌α
−1	sin‌α	−cos‌α