If the system of equations x= cy +bz, y=az +cx and z=bx+ay has a non - trivial solution then

If the system of equations x=cy+bz, y=az+cx and z=bx+ay has non-trivial solution and at least one of a,b, c is a proper fraction, prove that a^(2)+b^(2)+c^(2) lt 3 and abc gt -1

If the system of linear equations x=cy+bz , y=az+cx , z=bx+ay has a non trivial solution show that a^2+b^2+c^2+2abc=1

If the system of equations x=cy+bzy=az+cxz=bx+ay has a non-trivial solution,show that a^(2)+b^(2)+c^(2)+2abc=1

If the system of linear equations x=cy+bxy=ax+cz,z=bx+ay has a non trivial solution show that a^(2)+b^(2)+c^(2)+2abc=1

If a gt b gt c and the system of equtions ax +by +cz =0,n bx +cy+az=0,cx+ay+bz=0 has a non-trivial solution then both the roots of the equadratic equation at^(2)+bt+c are

If a gt b gt c and the system of equtions ax +by +cz =0,n bx +cy+az=0,cx+ay+bz=0 has a non-trivial solution then both the roots of the equadratic equation at^(2)+bt+c are

If a gt b gt c and the system of equtions ax +by +cz =0 , bx +cy+az=0 , cx+ay+bz=0 has a non-trivial solution then both the roots of the quadratic equation at^(2)+bt+c are

If a gt b gt c and the system of equtions ax +by +cz =0 , bx +cy+az=0 , cx+ay+bz=0 has a non-trivial solution then both the roots of the quadratic equation at^(2)+bt+c are