" If "(by+cz)/(b^(2)+c^(2))=(cz+ax)/(c^(2)+a^(2))=(ax+by)/(a^(2)+b^(2))" then prove that "(x)/(a)=(y)/(b)=

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

If (by+cz)/(b^(2)+c^(2))=(cz+ax)/(c^(2)+a^(2))=(ax+by)/(a^(2)+b^(2)) then prove that each ratio is equal to (x)/(a)=(y)/(b)=(z)/(c)

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 x^(2) : (by + cz) =y^(2) : (cz + ax) = z^(2) : (ax + by) = 1 , then show that a/(a+x) + b/(b+y) + c/(c+z) = 1 .

If (x^(2))/(by+cz)=(y^(2))/(cz+ax)=(z^(2))/(ax+by)=1 , then value of (a)/(a+x) +(b)/(b+y) +(c )/(c+z) is

If a^(2)+b^(2)+c^(2)=x^(2)+y^(2)+z^(2)=1, then show that ax+by+cz<1

If (x+y)/(3a-b) = (y+z)/(3b-c) = (z+x)/(3c-a) , then show that (x+y+z)/(a+b+c)= (ax + by+cz)/(a^(2)+b^(2)+c^(2))

If x^2/(by+cz)=y^2/(cz+ax)=z^2/(ax+by)=1 then show that a/(a+x)+b/(b+y)+c/(c+z)=1