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Investigate for what values of lambda a...

Investigate for what values of `lambda` and `mu` the system of linear equations. `x + 2y + z = 7, x + y + lambda z = mu , x + 3y - 5z = 5`. Has (i) no solution (ii) a unique solution (iii) an infinte number of solutions.
(b) P prpresents the variable complex number z. Find the locus of P , if `Re ((z+1)/(z+i)) = 1` .

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