If $$x = \frac{a}{b} + \frac{b}{a},\,y = \frac{b}{c} + \frac{c}{b}$$ and $$z = \frac{c}{a} + \frac{a}{c},$$ then what is the value of xyz - x2 - y2 - z2?
A. -4
B. 2
C. -1
D. -6
Answer: Option A
Solution (By Examveda Team)
Let a = b = c = 1∴ x = 2, y = 2, z = 2
xyz - x2 - y2 - z2
= 2 × 2 × 2 - 4 - 4 - 4
= 8 - 12
= -4
This Question Belongs to Arithmetic Ability >> Algebra
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