If the solution of the system of simultaneous equations 1 x + 2 y - 3 z -1=0, 2 x - 4 y + 3 z -1=0 and 3 x + 6 y - 6 z -4=0 is x= , y= , z= then ^2+ ^2=

Step-by-step solution

1 x + 2 y - 3 z =1 ...(i) 2 x - 4 y + 3 z =1 ...(ii) 3 x + 6 y - 6 z =4 ...(iii) Equation (i) + Equation (ii) 3 x - 2 y =2 ...(iv) Equation (ii) 2+ Equation (iii) 7 x - 2 y =6 ...(v) Equation (v) - Equation (iv) aligned & 4 / x=4 x=1= & Put x=1 in (iv), & y=2= & Put x=1, y=2 in (i) aligned aligned & z=3=r & ^2+r^2=1^2+3^2=10=5 aligned