class 10 maths ch 3 | class 10 maths chapter 3 definition | Variations
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class 10 maths ch 3 | class 10 maths chapter 3 definition | Variations
♦️A relation between two quantities of the same kind is called ratio.
♦️A proportion is a statement, which is expressed as equivalence of 2 ratios.
♦️ If two quantities are related in such a way that increase/ decrease in one quantity causes increase / decrease in the other quantity is called direct variation.
♦️ If two quantities are related in such a way that when one quantity increases the other decreases is called inverse variation.
♦️ Theorem on proportions:
1) theorem of invertendo
If a : b = c : d, then b : a = d : c
2) theorem of alternando
If a : b = c : d, then a : c = b : d
3) theorem of componendo
If a : b = c : d, then
i) a+b : b = c+d : d
and ii) a : a+b = c : c@hafizdastgeer729+d
4) theorem of dividendo
If a : b = c : d, then
i) a-b : b = c-d : d
and ii) a : a-b = c : c -d
5) theorem of componendo-dividendo
If a : b = c : d, then
a+b : a-b = c+d : c-d
Define Ratio
Define proportion
Define direct variation
Define inverse variation
State the theorem of componendo-dividendo
Define K-Method
Define Joint variation
Theorem of Invertendo
Theorem of Alternando
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class 10 maths ch 3
class 10 maths chapter 3 definition
Variations
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