Consider the following system of equations `a_1x+b_1y+c_1z=d_1, a_2x+b_2y+c_2z=d_2, a_3x+b_3y+c_3z=d_3` Let `/_\= |(a_1,b_1,c_1), (a_2,b_2,c_2), (a_3,b_3,c_3)|, /_\_1= |(d_1,b_1,c_1), (d_2,b_2,c_2), (d_3,b_3,c_3)|, ,/_\_2=|(a_1,d_1,c_1), (a_2,d_2,c_2), (a_3,d_3,c_3)|,, /_\_3=|(a_1,b_1,cd_1), (a_2,b_2,d_2), (a_3,b_3,d_3)|, ` The given system of equations will have i. unique solution of `/_\!=0` ii. infinitely many solutions if `/_\=/_\_1=/_\_3=0`. iii. no solution if `/_\=0` and any of `/_\_1, /_\_2, /_\_3` is none zero. On the basis of above informatioin answer thefollowing questions for the following system of linear equations. `x+y+z=6, x+2y+3z=14, 2x+5y+lamdaz=mu` The given system of equations has infinitely many solution if (A) `lamda=3, mu=10` (B) `lamda!=3, mu=10` (C) `lamda=3,mu!=0` (D) `lamda!=3, mu!=10`