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If $x, y, z$ are different from zero and $Δ = |\begin{matrix} a & b - y & c - z \\ a - x & b & c - z \\ a - x & b - y & c \end{matrix}| = 0$ then the value of the expression $\frac{a}{x} + \frac{b}{y} + \frac{c}{z}$ is

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Correct option is D

Applying , R¯2→R¯2-R¯1,R¯3→R¯3-R¯1 we get Δ=ab-yc-z-xy0-x0z=0Expanding along C3, we get(c-z)-xy-x0+zab-y-xy=0⇒ (c-z)(xy)+z(ay+bx-xy)=0⇒ cxy-xyz+ayz+bxz-xyz=0⇒ ayz+bzx+cxy=2xyz⇒ ax+by+cz=2

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If x, y, z are different from zero and Δ=ab-yc-za-xbc-za-xb-yc=0 then the value of the expression ax+by+cz is

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Ready to Test Your Skills?

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If $x, y, z$ are different from zero and $Δ = |\begin{matrix} a & b - y & c - z \\ a - x & b & c - z \\ a - x & b - y & c \end{matrix}| = 0$ then the value of the expression $\frac{a}{x} + \frac{b}{y} + \frac{c}{z}$ is