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Variation
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Variation
All Questions (Page: 1)
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All Questions (PDF)
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Study Material (PDF)
All Questions (PDF)
Self Assesment
Sort As
Serial Number
Newly Added
Language
English
Bengali
Click on each question to see answer & solution.
Question No: #1
If `x^2 \propto yz`, `y^2 \propto zx` and `z^2 \propto xy`, then find the relation among these variation constants.
Ans: Relation - product of three variation constants is 1
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Question No: #2
If `x/y \propto (x+y)` and `y/x \propto (x-y)` then prove that `(x^2-y^2)` is constant.
Ans:
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Question No: #3
If `y \propto x^2` and `y=9` when `x=9`. Then find the value of `x` when `y=4`
Ans: `\pm 6`
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Question No: #4
If `x \propto yz` and `y \propto zx`, then show that `z` is a non-zero constant.
Ans:
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Question No: #5
If `(a+b) \propto (a-b)`, then prove that `a^2+b^2 \propto ab`.
Ans:
SEE SOLUTION
Question No: #6
If `(a^2+b^2) \propto ab`, then prove that, `(a+b) \propto (a-b)`.
Ans:
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Question No: #7
If `x \propto y` and `y \propto z`, then prove that `x^2+y^2+z^2 \propto xy+yz+zx`.
Ans:
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Question No: #8
If `a \propto b` and `b \propto c`, then prove that `a^3+b^3+c^3 \propto abc`.
Ans:
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Question No: #9
If `(x^3 - 1/y^3) \propto (x^3 + 1/y^3)`, then prove that `x \propto 1/y`.
Ans:
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Question No: #10
`x` varies directly as square of `y` and inversely as `z`. If `x=2` when `y=4` and `z=2`, then find the value of `y` when `x=3` and `z=3`.
Ans: `\pm 6`
SEE SOLUTION
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