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CAT 2010 | Question: 8

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Consider the following statements:

  1. If $a^{x}=b,b^{y}=c,c^{z}=a,$ then $xyz=1$
  2. If $p=a^{x},q=a^{y},\left ( p^{y}q^{y} \right )^{z}=a^{2},$ then $xyz=1$
  3. If $x^{a}=y^{b}=z^{c}$ and $ab+bc+ca=0$ then $xyz=1$

Of these statements:

  1. I and II are correct
  2. II and III are correct
  3. Only I is correct
  4. All I, II and III are correct
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