If `x=rcosalphacosbetacosgamma`, `y==rcosalphacosbetasingamma`, `z=rsinalphacosbeta`; `mu=rsinbeta` then `x^2+y^2+z^2+mu^2=`

Let the equations x+y+z=5,x+2y+2z=6,x+3y+lambda z=mu have infinite solutions then the value of lambda+mu is

Investigate for what values of lambda,mu the simultaneous equations x+y+z=6:x+2y+3z=100:x+2y+lambda z=mu have:

The system of equations x+y+z=6, x+2y+3z=10,x+2y+lamdaz=mu is inconsistent if

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

If the system of linear equation x+y+z=6,x+2y+3c=14, and 2x+5y+lambda z=mu(lambda,mu epsilon R) has a unique solution,then lambda=8 b.lambda=8,mu=36c.lambda=8,mu!=36

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

If the system of linear equations x+ y +z = 5 x+2y +2z = 6 x + 3y + lambdaz = mu, (lambda, mu in R) has infinitely many solutions, then the value of lambda + mu is

If the system of linear equations x+ y +z = 5 x+2y +2z = 6 x + 3y + lambdaz = mu, (lambda, mu in R) has infinitely many solutions, then the value of lambda + mu is