" (iii) "(a^(2)+b^(2)+c^(2))(x^(2)+y^(2)+z^(2))=(ax+by+cz)^(2)

If x : a = y : b = z : c , then prove that (a^(2) + b^(2) + c^(2))(x^(2) + y^(2) + z^(2)) = (ax + by + cz)^(2)

If (a^(2)+b^(2)+c^(2))(x^(2)+y^(2)+z^(2))=(ax+by+cz)^(2), then show that x:a=y:b=z:c

If(a^(2)+b^(2)+c^(2))(x^(2)+y^(2)+z^(2))=(ax+by+cz)^(2) shewthatx :a=y:b=z:

If a, b, c, x, y, z are real and a^(2)+b^(2) + c^(2)=25, x^(2)+y^(2)+z^(2)=36 and ax+by+cz=30 , then (a+b+c)/(x+y+z) is equal to :

If a, b, c, x, y, z are real and a^(2)+b^(2) + c^(2)=25, x^(2)+y^(2)+z^(2)=36 and ax+by+cz=30 , then (a+b+c)/(x+y+z) is equal to :

If a, b, c, x, y, z are real and a^(2)+b^(2) + c^(2)=25, x^(2)+y^(2)+z^(2)=36 and ax+by+cz=30 , then (a+b+c)/(x+y+z) is equal to :

If ax+cy+bz=X, cx+by+az=Y, bx+ay+cz=Z, show that (a^(2)+b^(2)+c^(2)-bc-ca-ab)(x^(2)+y^(2)+z^(2)-yz-zx-xy)=X^(2)+Y^(2)+Z^(2)-YZ-ZX-XY

If a^(2)+b^(2)+c^(2)=16,x^(2)+y^(2)+z^(2)=25 and ax+by+cz=20 then the value of (a+b+c)/(x+y+z)

If ax+by+cz=p, then minimum value of x^(2)+y^(2)+z^(2) is ((p)/(a+b+c))^(2) (b) (p^(2))/(a^(2)+b^(2)+c^(2))(a^(2)+b^(2)+c^(2))/(p^(2))(d)((a+b+c)/(p))^(2)

Let a,b,c,x,y,z be real.Given a^(2)+b^(2)+c^(2)=4,x^(2)+y^(2)+z^(2)=9 and ax+by+cz>=6, then the value of expression (a+2b+3c)/(x+2y+3z) is (A)(1)/(3)(B)3(C)(2)/(3) (D) (1)/(2)