If the mean proportional between p and q is 12, then the possible values of p and q, respectively, are:

Question

Accepted Answer

The mean proportional between two numbers p and q is given by the square root of their product, i.e., mean proportional = √(p × q).

Given the mean proportional is 12, so:

√(p × q) = 12
=> p × q = 12² = 144

Now, check each option:
1) p=3, q=28 => 3 × 28 = 84 (not 144)
2) p=24, q=6 => 24 × 6 = 144 (valid)
3) p=3, q=38 => 3 × 38 = 114 (not 144)
4) p=24, q=16 => 24 × 16 = 384 (not 144)

However, option 2 (24, 6) satisfies the condition p × q = 144.

Note: The question asks for possible values, so both (24, 6) and (6, 24) are valid. Among the given options, only option 2 satisfies the condition.

Therefore, the correct answer is option 2: 24, 6.

Answer

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