Show that If `a(b-c) x^2 + b(c-a) xy + c(a-b) y^2 = 0` is a perfect square, then the quantities a, b, c are in harmonic progresiion

Show that If a(b-c)x^(2)+b(c-a)xy+c(a-b)y^(2)=0 is a perfect square,then the quantities a,b,care in harmonic progresion

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

52 Show that a(b-c)x^(2)+b(c-a)xy+c(a-b)y^(2) will be a perfect square if a,b,c are in H.P

If a(b-c)x^(2)+b(c-a)xy+c(a-b)y^(2)=0 is a perfect square,then (log(a+c)+log(a-2b+c))/(log(a-c)) is equal to

If a(b-c)x^(2)+b(c-a)x+c(a-b)=0 has equal root,then a,b,c are in

If the left hand side of the equation a(b-c)x^2+b(c-a) xy+c(a-b)y^2=0 is a perfect square , the value of {(log(a+c)+log(a-2b+c)^2)/log(a-c)}^2 , (a,b,cinR^+,agtc) is

Show that |a b c a+2x b+2y c+2z x y z|=0

show that (3a+2b-c+d)^(2)-12a(2b-c+d) is a perfect square .