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Question
If a : b = b : c then a4 : b4 would be equal to ______.
Options
ac : b2
a2 : c2
b2 : ac
c2 : a2
MCQ
Fill in the Blanks
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Solution
If a : b = b : c then a4 : b4 would be equal to a2 : c2.
Explanation:
From a : b = b : c, we have b2 = ac.
Thus `a^4/b^4 = a^4/(ac)^2 = a^2/c^2`, giving a4 : b4 = a2 : c2.
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