If the expression `x^2+2(a+b+c)x+3(bc+ca+ab)` is a perfect square then

If the expression x^2+2(a+b+c)x+3(b c+ca+a b) is a perfect square, then a. a=b=c b. a=+-b=+-c c. a=b!=c d. none of these

If the expression x^(2)+2(a+b+c)+3(bc+c+ab) is a perfect square,then a=b=cba=+-b=+-c c.a=b!=c d.nome of these

If the expression a(b-c)x^(2)+b(c-a)xy+c(a-b)y^(2) is a perfect square, then a,b,c are in

If a,b,c are the sides ofa triangle then the expression (a^(2)+b^(2)+c^(2))/(ab+bc+ca) lies in the interval

If a,b,c in R,x=a^(2)-bc,y=b^(2)-abz=c^(2)-ab, then prove that x^(3)+y^(3)+z^(3)-3xyzis a perfect square

Add the following expressions: a^2 + 3 ab-bc, b^2 + 3bc - ca and c^2 + 3ca - ab

Show that the roots of the equation (a^2-bc)x^2+2(b^2-ca)x+c^2-ab=0 are equal if either b=0 or , a^3+b^3+c^3-3abc=0