" Q.2:- If "f(z)=x+ay+i(bx+cy)" is analytic then "a,b,c" equals to "

If x ^(2) + y ^(2) + z ^(2)ne 0, x= cy + bz, y= az +cx, and z= bx + ay, a ^(2) + b ^(2) + c ^(2) + 2 abc is equal to

If the planes x=cy+bz,y=az+cx and z=bx+ay pass through a line then a^(2)+b^(2)+c^(2)+2abc is equal to

Let a, b,c be any real numbers, Supose that there are real numbers x,y,z not all zero such that x=cy+bz,y=az+cx and z =bx +ay . Then a^2+b^2+c^2+2abc is equal to :

If (ay-bx)/c = (cx - az)/b = (bz - cy)/a , " then prove that " x/a = y/b = z/c .

Given that the system of equations x=cy+bz ,y=az+cx , z=bx +ay has nonzero solutions and and at least one of the a,b,c is a proper fraction. a^(2)+b^(2)+c^(2) is

Given that the system of equations x=cy+bz,y=az+cx,z=bx+ay has non-zero solutions and atleast one of a,b,c is a proper fraction. a^2+b^2+c^2 is

Given that the system of equations x=cy+bz ,y=az+cx , z=bx +ay has nonzero solutions and and at least one of the a,b,c is a proper fraction. a^(2)+b^(2)+c^(2) is

The planes x=cy+bz,y=az+cx,z=bx+ay intersect in a line if (a+b+c)^(2) is equal to