ABC26GN1210 · Simplification
Subject: General Aptitude · Chapter: Simplification · Exam: · Marks: · Difficulty:
If $x=a+m, y=b+m, z=c+m$, the value of $\frac{x^{2}+y^{2}+z^{2}-y z-z x-x y}{a^{2}+b^{2}+c^{2}-a b-b c-c a}$ is
(a)1
(b)$\frac{x+y+z}{a+b+c}$
(c)$\frac{a+b+c}{x+y+z}$
(d)not possible to find
Answer
Explanation
$$\begin{aligned} & \frac{x^{2}+y^{2}+z^{2}-y z-z x-x y}{a^{2}+b^{2}+c^{2}-a b-b c-c a} \\ & =\frac{(a+m)^{2}+(b+m)^{2}+(c+m)^{2}-(b+m)(c+m)}{-(c+m)(a+m)-(a+m)(b+m)} \end{aligned}$$
Explanation as extracted from the printed page; notation may be imperfect.
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