Question

the set of equations `lambdax-y+(cos theta) z=0,3x+y+2z=0` , `(cos theta) `x+y+2z=0 ,`theta le 0 lt 2 pi` has non-trivial solution (s)
A. for no value of `lambda` and 0
B. for all values of `lambda` and 0
C. for all values of `lambda` and only tow values of 0
D. for only one value of `lambda` and all values of 0

Answer 1

Correct Answer - A
D=cos 0 `-cos^(2) 0 + 6 gt 0 . " Since " D gt 0` only trivial solution is possible