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[" If "i!=ff(x)/(b+c)=(y)/(c+a)=(z)/(a+b...

[" If "i!=ff(x)/(b+c)=(y)/(c+a)=(z)/(a+b)" ,let us show that "(a)/(y+z-x)=(b)/(z+x-y)=(c)/(x+y-z)-pr(0.1)],[" (iii) "ff(x+y)/(3a-b)=(y+z)/(3b-c)=(2+x)/(3c-a)" ,let us show that "(x+y+z)/(a+b+c)=(ax+by+cz)/(a^(2)+b^(2)+c^(2))" ."]

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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/(b +c) = y/(c+a) = z/(a + b) , then show that a/(y+z-x) = b/(z+x - y) = c/(x + y - z) .

If (x)/(b+c-a)=(y)/(c+a-b)=(z)/(a+b-c) show that (b-c)x+(c-a)y+(a-b)z=0

If (y+z)/(a)=(z+x)/(b)=(x+y)/c then show that (x)/(b+c-a)=(y)/(c+a-b)=(z)/(a+b-c)

If (y+z)/(a)=(z+x)/(b)=(x+y)/© then show that (x)/(b+c-a)=(y)/(c+a-b)=(z)/(a+b-c)

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 (a)/(y+z-x)=(b)/(z+x-y)=©/(x+y-z) then show that (x)/(b+c)=(y)/(c+a)=(z)/(a+b)

If (x^2-yz)/a=(y^2-zx)/b=(z^2-xy)/c , show that (a+b+c)(x+y+z)=(ax+by+cz).

3) If (a)/(x+y)=(b)/(y+z)=(c)/(z-x) ,then show that b=a+c.