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Q. \( \sqrt{a^{-1}b} \times \sqrt{b^{-1}c} \times \sqrt{c^{-1}a} \)
(a) 1 (b) abc (c) \( \sqrt{abc} \) (d) \( \frac{1}{abc} \)
✏️ Solution
\( = \sqrt{\frac{b}{a}} \times \sqrt{\frac{c}{b}} \times \sqrt{\frac{a}{c}} \)
\( = \sqrt{\frac{b}{a} \cdot \frac{c}{b} \cdot \frac{a}{c}} \)
\( = \sqrt{1} \)
\( = 1 \)
Correct Option: (a) 1
\( \boxed{1} \)