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Question

If $$a=bx,b=cy$$ and $$c=az,$$ then the value of $$xyz$$ is equal to


A
1
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B
4
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C
3
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D
6
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Solution

The correct option is A $$1$$
We have,
$$a = bx$$
$$b = cy $$
$$c= az$$

$$x = \dfrac{a}{b}$$
$$y = \dfrac{b}{c}$$
$$z = \dfrac{c}{a}$$

Therefore,
$$xyz = a/b × b/c × c/a = 1$$

Hence, this is the answer.

Maths

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