If roots of equation `x^2-2c x+a b=0` are real and unequal, then prove that the roots of `x^2-2(a+b)x+a^2+b^2+2c^2=0` will be imaginary.

If roots of equation a-b)x^(2)+(b-c)x+(c-a)=0 are equal then prove that b+c=2a

If the roots of the equation x^(2)+2cx+ab=0 are real and unequal,then the roots of the equation x^(2)-2(a+b)x+(a^(2)+b^(2)+2c^(2))=0 are: (a) real and unequal (b) real and equal (c) imaginary (d) rational

If the roots of the equation x^(2)+2cx+ab=0 are real unequal,prove that the equation x^(2)-2(a+b)x+a^(2)+b^(2)+2c^(2)=0 has no real roots.

If the roots of the equation,x^(2)+2cx+ab=0 are real and unequal,then the roots of the equation,x^(2)-(a+b)x+(a^(2)+b^(2)+2c^(2))=0 are: a. real and unequal b.real and equal c. imaginary d.Rational

If the roots of the equation ax^2 +x+b=0 be real, and unequal then the roots of the equation x^2-4sqrt(ab)x + 1 = 0 will be

If the roots of the equation (b-c)x^(2)+(c-a)x+(a-b)=0 are equal,then prove that 2b=a+c

if the roots of (a^2+b^2)x^2-2b(a+c)x+(b^2+c^2)=0 are real and equal then a,b,c are in

If a and b are real and aneb then show that the roots of the equation (a-b)x^(2)+5(a+b)x-2(a-b)=0 are real and unequal.

If roots of the equation ax^(2)+2(a+b)x+(a+2b+c)=0 are imaginary then roots of the equation ax^(2)+2bx+c=0 are