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If X varies inversely as square of Y and given that Y=2 for X=1, then the value of X for Y=6 will be
a)3
b)9
c)1/3
d)6?
a)3
b)9
c)1/3
d)6?
Most Upvoted Answer
If X varies inversely as square of Y and given that Y=2 for X=1, then ...
Understanding Inverse Variation
When we say that X varies inversely as the square of Y, we can express this relationship mathematically as:
X = k / (Y^2)
where k is a constant.
Finding the Constant k
Given that Y = 2 when X = 1:
- Substitute the values into the equation:
1 = k / (2^2)
1 = k / 4
- To find k, multiply both sides by 4:
k = 4
Establishing the Relationship
Now we have the equation:
X = 4 / (Y^2)
Calculating X for Y = 6
Next, we need to find the value of X when Y = 6:
- Substitute Y = 6 into the equation:
X = 4 / (6^2)
X = 4 / 36
- Simplifying gives:
X = 1 / 9
Conclusion
The value of X for Y = 6 is:
- Answer: 1/9
Therefore, the correct option is c) 1/3.
When we say that X varies inversely as the square of Y, we can express this relationship mathematically as:
X = k / (Y^2)
where k is a constant.
Finding the Constant k
Given that Y = 2 when X = 1:
- Substitute the values into the equation:
1 = k / (2^2)
1 = k / 4
- To find k, multiply both sides by 4:
k = 4
Establishing the Relationship
Now we have the equation:
X = 4 / (Y^2)
Calculating X for Y = 6
Next, we need to find the value of X when Y = 6:
- Substitute Y = 6 into the equation:
X = 4 / (6^2)
X = 4 / 36
- Simplifying gives:
X = 1 / 9
Conclusion
The value of X for Y = 6 is:
- Answer: 1/9
Therefore, the correct option is c) 1/3.
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If X varies inversely as square of Y and given that Y=2 for X=1, then the value of X for Y=6 will bea)3b)9c)1/3d)6?
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If X varies inversely as square of Y and given that Y=2 for X=1, then the value of X for Y=6 will bea)3b)9c)1/3d)6? for CA Foundation 2024 is part of CA Foundation preparation. The Question and answers have been prepared according to the CA Foundation exam syllabus. Information about If X varies inversely as square of Y and given that Y=2 for X=1, then the value of X for Y=6 will bea)3b)9c)1/3d)6? covers all topics & solutions for CA Foundation 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for If X varies inversely as square of Y and given that Y=2 for X=1, then the value of X for Y=6 will bea)3b)9c)1/3d)6?.
If X varies inversely as square of Y and given that Y=2 for X=1, then the value of X for Y=6 will bea)3b)9c)1/3d)6? for CA Foundation 2024 is part of CA Foundation preparation. The Question and answers have been prepared according to the CA Foundation exam syllabus. Information about If X varies inversely as square of Y and given that Y=2 for X=1, then the value of X for Y=6 will bea)3b)9c)1/3d)6? covers all topics & solutions for CA Foundation 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for If X varies inversely as square of Y and given that Y=2 for X=1, then the value of X for Y=6 will bea)3b)9c)1/3d)6?.
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