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If t is real and lambda = (t^2-3t+4)/(t^...

If t is real and `lambda = (t^2-3t+4)/(t^2+3t+4)` then find number of the solution of the systems of equation `3x-y+4z =0,x+2y-3z=-2.6x+5y+lambda z=-3` for a particular value of `lambda`.

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Knowledge Check

  • If the system of linear equations x+y+z=6, x+2y+3z=14 and 2x +5y+ lambdaz=mu(lambda,mu ne R) has a unique solution if lambda is

    A
    `lambdane`8
    B
    `lambda =8 "and" mu ne 36`
    C
    `lambda =8 "and" mu =36`
    D
    None of these

  • The system of equations : x+y+z =6 x+2 y+3 z =10 x+2 y+lambda z =mu has no solution for

    A
    `lambda ne 3, mu=10`
    B
    `lambda=3, mu ne 10`
    C
    `lambda ne 3, mu ne 10`
    D
    none of these

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