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If the relationship between two variables u and v are given by 2u+v+=0 and if the AM of u is 10 then the AM of v is
?
Verified Answer
If the relationship between two variables u and v are given by 2u+v+=0...
u=10
2�10+v+7=0
27+v=0
-v=27
This question is part of UPSC exam. View all CA Foundation courses
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If the relationship between two variables u and v are given by 2u+v+=0...
Given:
The relationship between two variables u and v is given by 2uv = 0.

To find:
The arithmetic mean (AM) of v when the AM of u is 10.

Solution:
To find the AM of v, we need to know the values of u and v that satisfy the given relationship. From the equation 2uv = 0, we can infer that either u = 0 or v = 0.

Case 1: u = 0
If u = 0, then the value of v can be any real number. In this case, the AM of v can take any value since there are no restrictions on v when u is 0.

Case 2: v = 0
If v = 0, then the value of u can also be any real number. Similar to case 1, the AM of v can take any value when u is not restricted.

Conclusion:
Since the equation 2uv = 0 does not provide any specific relationship between u and v, we cannot determine the AM of v when the AM of u is 10. The AM of v can be any real number depending on the values of u and v that satisfy the given equation.
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If the relationship between two variables u and v are given by 2u+v+=0 and if the AM of u is 10 then the AM of v is ?
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