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the set of equations lambdax-y+(cos the...

the set of equations `lambdax-y+(cos theta) z=0,3x+y+2z=0`
`(cos theta) x+y+2z=0` ,`0 le theta 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

Text Solution

Verified by Experts

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