Question

If the system of linear equation `x+y+z=6,x+2y+3c=14 ,a n d2x+5y+lambdaz=mu(lambda,mu R)` has a unique solution, then `lambda=8` b. `lambda=8,mu=36` c.`lambda=8,mu!=36""` d. none of these
A. `lambda ne 8`
B. `lambda =8,mu ne 36`
C. `lambda=8 , mu =36`
D. none of these

Answer 1

Correct Answer - A
The given system of linear equations has a unique solution if
`|{:(1,,1,,1),(1,,2,,3),(2,,5,,lambda):}| ne 0`
`i.e., " if " lambda- 8 ne 0 " or " lambda ne 8.`