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The mean proportional between 12x2 and 27y2 is
- a)18xy
- b)81xy
- c)8xy
- d)none of these
Correct answer is option 'A'. Can you explain this answer?
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Verified Answer
The mean proportional between 12x2 and 27y2 isa)18xyb)81xyc)8xyd)none ...
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The mean proportional between 12x2 and 27y2 isa)18xyb)81xyc)8xyd)none ...
Given data:
- Mean proportional between 12x² and 27y² is to be found.
Solution:
- Mean proportional is the geometric mean of two numbers.
- Geometric mean of two numbers a and b is √(ab).
- Therefore, the mean proportional between 12x² and 27y² is √(12x² × 27y²).
- Simplifying this expression, we get:
√(12 × 27 × x² × y²)
= √(4 × 3² × 9 × x² × y²)
= 18xy
- Therefore, the correct option is (a) 18xy.
Final Answer:
The mean proportional between 12x² and 27y² is 18xy.
- Mean proportional between 12x² and 27y² is to be found.
Solution:
- Mean proportional is the geometric mean of two numbers.
- Geometric mean of two numbers a and b is √(ab).
- Therefore, the mean proportional between 12x² and 27y² is √(12x² × 27y²).
- Simplifying this expression, we get:
√(12 × 27 × x² × y²)
= √(4 × 3² × 9 × x² × y²)
= 18xy
- Therefore, the correct option is (a) 18xy.
Final Answer:
The mean proportional between 12x² and 27y² is 18xy.
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Community Answer
The mean proportional between 12x2 and 27y2 isa)18xyb)81xyc)8xyd)none ...
Let z mean proportial z= underrootof (12x^2 x 27y^2)
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The mean proportional between 12x2 and 27y2 isa)18xyb)81xyc)8xyd)none of theseCorrect answer is option 'A'. Can you explain this answer?
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