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In vestigate the values of lambda and mu...

In vestigate the values of `lambda` and `mu` the system of linear equations 2x+3y+5z=9,7x+3y-5z=8, 2x+3y+`lambda`z=`mu`, have
(i) no solution
(ii) a unique solution
(iii) an infinite number of solutions.

Answer

Step by step text solution for In vestigate the values of lambda and mu the system of linear equations 2x+3y+5z=9,7x+3y-5z=8, 2x+3y+lambdaz=mu, have (i) no solution (ii) a unique solution (iii) an infinite number of solutions. by MATHS experts to help you in doubts & scoring excellent marks in Class 12 exams.

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Investigate the values of lambda and mu the system of linear equations 2x+3y+5z=9 , 7x+3y-5z =8 , 2x +3y+ lambdaz=mu have (i) no solution (ii) a unique solution (iii) an infinite number of solutions.

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 .

Knowledge Check

  • The system of linear equations x +y+z =6, x+2y+3z= 14 and 2x+5y+ lambdaz=mu(lambda,mu in "RR") is consistent with unique solution if

    A
    `lambda =8`
    B
    `lambda =8, mu ne 36`
    C
    `lambda ne 8`
    D
    none

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