If a, b and c are in continued proportion, then a2 : b2 isA a2 : c2 B a : b C a : c D b : c
Question
If a, b and c are in continued proportion, then a2 : b2 isA a2 : c2 B a : b C a : c D b : c
Solution 1
No answer
Solution 2
If a, b, and c are in continued proportion, it means that the ratio of a to b is the same as the ratio of b to c. In mathematical terms, this can be written as a/b = b/c.
Now, if we square both sides of this equation, we get (a^2)/(b^2) = (b^2)/(c^2).
However, we want to find the ratio of a^2 to b^2. From the equation above, we can see that the ratio of a^2 to b^2 is the same as the ratio of b^2 to c^2.
Therefore, the answer is A: a^2 : c^2.
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