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Q.

In direct proportion, what is the relation between a 1 b 1 and a 2 b 2 and ?


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a

a 1 b 1 < a 2 b 2

b

a 1 b 1 > a 2 b 2

c

a 1 b 1 ≤ a 2 b 2

d

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answer is D.

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Detailed Solution

It is given that two variables a and b are directly proportional.
We know that the ratio of the respective values of the two quantities is constant if two quantities vary directly.
Apply this idea to determine the proper relationship between the provided quantities.
Given that two quantities are directly proportional.
Then
a 1 b 1 =k             for some constant k
Similarly,
a 2 b 2 =k
 From the above two equations, we have,
a 1 b 1 = a 2 b 2
Therefore, in direct proportion, a 1 b 1 = a 2 b 2 .
Hence, option (4) is correct.
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