a/y-z = b/z-x = c/x-y = then ax + by + cz = ………………

Question

\(\frac{a}{y-z}=\frac{b}{z-x}=\frac{c}{x-y }\) = then ax + by + cz = ………………

a/y-z = b/z-x = c/x-y 

A) -a 

B) – b 

C) 0 

D) -1

Answer 1

Correct option is (C) 0

\(\frac{a}{y-z}=\frac{b}{z-x}=\frac{c}{x-y}\) \(=\frac{ax+by+cz}{x(y-z)+y(z-x)+z(x-y)}\)

\(=\frac{ax+by+cz}{xy-xz+yz-xy+xz-yz}\) \(=\frac{ax+by+cz}0\)

\(\Rightarrow\) ax+by+cz = 0.

Answer 2

Correct option is  C) 0