If `a,b,c in Q` then`(b-c)x^2+(c-a)x+(a-b)=0`

If a b+b c+c a=0, then solve a(b-2c)x^2+b(c-2a)x+c(a-2b)=0.

If a b+b c+c a=0, then solve a(b-2c)x^2+b(c-2a)x+c(a-2b)=0.

If a b+b c+c a=0, then solve a(b-2c)x^2+b(c-2a)x+c(a-2b)=0.

If a, b, c are rational and no two of them are equal, then the equations (b-c)x^(2)+(c-a)x+(a-b)=0 and, a(b-c)x^(2)+ b(c-a)x+c(a-b)=0

If a, b, c are rational and no two of them are equal, then the equations (b-c)x^(2)+(c-a)x+(a-b)=0 and, a(b-c)x^(2)+ b(c-a)x+c(a-n)=0

If a,b and c are in AP and if the equations (b-c)x^(2)+(c-a)x+(a-b)=0 and 2(c+a)x^(2)+(b+c)x+(a-b)=0 have a common root,then

If a, b and c are in AP and if the equations (b-c)x^2 + (c -a)x+(a-b)=0 and 2 (c +a)x^2+(b +c)x+(a-b)=0 have a common root, then