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If u/v=w/p,then (u-v)/(u v)=(w-p)/(w p).the process is called: A)invertendo B)dividendo C)componendo and dividendo D)dividendo and componendo?
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If u/v=w/p,then (u-v)/(u v)=(w-p)/(w p).the process is called: A)inver...
Explanation:
The given equation is u/v = w/p.
To prove (u-v)/(uv) = (w-p)/(wp), we will use the process of Componendo and Dividendo.
Componendo and Dividendo:
Componendo and Dividendo is a method used to prove the equality of two ratios. It states that if a/b = c/d, then (a+b)/(a-b) = (c+d)/(c-d). In this method, we add the two ratios and then subtract them to get the required ratio.
Applying Componendo and Dividendo:
Let's add and subtract the given ratios (u/v) and (w/p) to apply the Componendo and Dividendo method.
(u/v) + (w/p) = (up + vw) / vp
(u/v) - (w/p) = (up - vw) / vp
Now, let's divide the above two ratios.
[(u/v) + (w/p)] / [(u/v) - (w/p)] = (up + vw) / (up - vw)
Simplifying the above equation, we get
[(u+v)/(uv)] = [(w+p)/(wp)]
Hence, (u-v)/(uv) = (w-p)/(wp) is proved using the Componendo and Dividendo method.
Therefore, the correct answer is option C, Componendo and Dividendo.
The given equation is u/v = w/p.
To prove (u-v)/(uv) = (w-p)/(wp), we will use the process of Componendo and Dividendo.
Componendo and Dividendo:
Componendo and Dividendo is a method used to prove the equality of two ratios. It states that if a/b = c/d, then (a+b)/(a-b) = (c+d)/(c-d). In this method, we add the two ratios and then subtract them to get the required ratio.
Applying Componendo and Dividendo:
Let's add and subtract the given ratios (u/v) and (w/p) to apply the Componendo and Dividendo method.
(u/v) + (w/p) = (up + vw) / vp
(u/v) - (w/p) = (up - vw) / vp
Now, let's divide the above two ratios.
[(u/v) + (w/p)] / [(u/v) - (w/p)] = (up + vw) / (up - vw)
Simplifying the above equation, we get
[(u+v)/(uv)] = [(w+p)/(wp)]
Hence, (u-v)/(uv) = (w-p)/(wp) is proved using the Componendo and Dividendo method.
Therefore, the correct answer is option C, Componendo and Dividendo.
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If u/v=w/p,then (u-v)/(u v)=(w-p)/(w p).the process is called: A)inver...
Dividendo and componendo
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If u/v=w/p,then (u-v)/(u v)=(w-p)/(w p).the process is called: A)invertendo B)dividendo C)componendo and dividendo D)dividendo and componendo?
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If u/v=w/p,then (u-v)/(u v)=(w-p)/(w p).the process is called: A)invertendo B)dividendo C)componendo and dividendo D)dividendo and componendo? for CA Foundation 2025 is part of CA Foundation preparation. The Question and answers have been prepared according to the CA Foundation exam syllabus. Information about If u/v=w/p,then (u-v)/(u v)=(w-p)/(w p).the process is called: A)invertendo B)dividendo C)componendo and dividendo D)dividendo and componendo? covers all topics & solutions for CA Foundation 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for If u/v=w/p,then (u-v)/(u v)=(w-p)/(w p).the process is called: A)invertendo B)dividendo C)componendo and dividendo D)dividendo and componendo?.
If u/v=w/p,then (u-v)/(u v)=(w-p)/(w p).the process is called: A)invertendo B)dividendo C)componendo and dividendo D)dividendo and componendo? for CA Foundation 2025 is part of CA Foundation preparation. The Question and answers have been prepared according to the CA Foundation exam syllabus. Information about If u/v=w/p,then (u-v)/(u v)=(w-p)/(w p).the process is called: A)invertendo B)dividendo C)componendo and dividendo D)dividendo and componendo? covers all topics & solutions for CA Foundation 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for If u/v=w/p,then (u-v)/(u v)=(w-p)/(w p).the process is called: A)invertendo B)dividendo C)componendo and dividendo D)dividendo and componendo?.
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