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Statement I The system of linear equatio...

Statement I 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 not trivial solution for only one value of ` alpha ` lying between ` 0 and pi`.
Statement II `|{:(sin x, cos x , cos x),( cos x , sin x , cos x) , (cos x , cos x , sin x ):}|=0`
has no solution in the interval `-pi//4 lt x lt pi//4 ` .

A

Statement I is true , Statement II is true , Statement II is a correct explanation for Statement I.

B

Statement I is true , Statement II is true , Statement II is not a correct explanation for Statement II.

C

Statement I is true , Statement II is false

D

Statement I is false , Statement II true .

Text Solution

Verified by Experts

The correct Answer is:
B
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