UPSC Exam > UPSC Questions > A/b=c/d. a/b(d)=c/d(bd)?
Start Learning for Free
A/b=c/d. a/b(d)=c/d(bd)?
Most Upvoted Answer
A/b=c/d. a/b(d)=c/d(bd)?
Understanding the Proportional Relationship
When given the equation A/B = C/D, it signifies that the ratios of A to B and C to D are equal. This foundational concept of proportions allows us to manipulate and rearrange these equations effectively.
Manipulating the Equation
To derive the expression a/b(d) = c/d(bd), we start from the original proportion A/B = C/D.
Deriving the New Equation
Next, we want to explore the expression a/b(d).
Conclusion
Thus, we confirm that a/b(d) = c/d(bd) holds true, reinforcing the concept of proportionality and the properties of ratios. This fundamental principle is crucial in various mathematical applications, including those encountered in UPSC examinations.
When given the equation A/B = C/D, it signifies that the ratios of A to B and C to D are equal. This foundational concept of proportions allows us to manipulate and rearrange these equations effectively.
Manipulating the Equation
To derive the expression a/b(d) = c/d(bd), we start from the original proportion A/B = C/D.
- Cross-Multiplication: From the initial equation, we can cross-multiply: A * D = B * C.
- Introducing Variables: Assume A = a, B = b, C = c, and D = d for simplicity.
- Rearranging: We can express A in terms of B and C, leading us to A = (B * C) / D.
Deriving the New Equation
Next, we want to explore the expression a/b(d).
- Substituting Values: Replace A with (B * C) / D. Hence, we have a/b = c/d when rearranged.
- Multiplying by d: We multiply both sides by d, yielding a/b(d) = c/d(bd).
- Understanding the Result: This demonstrates that both expressions are equivalent under the constraints of the original proportion, emphasizing the equality of ratios.
Conclusion
Thus, we confirm that a/b(d) = c/d(bd) holds true, reinforcing the concept of proportionality and the properties of ratios. This fundamental principle is crucial in various mathematical applications, including those encountered in UPSC examinations.
|
Explore Courses for UPSC exam
|
|
Similar UPSC Doubts
Top Courses for UPSCView all
A/b=c/d. a/b(d)=c/d(bd)?
Question Description
A/b=c/d. a/b(d)=c/d(bd)? for UPSC 2025 is part of UPSC preparation. The Question and answers have been prepared according to the UPSC exam syllabus. Information about A/b=c/d. a/b(d)=c/d(bd)? covers all topics & solutions for UPSC 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A/b=c/d. a/b(d)=c/d(bd)?.
A/b=c/d. a/b(d)=c/d(bd)? for UPSC 2025 is part of UPSC preparation. The Question and answers have been prepared according to the UPSC exam syllabus. Information about A/b=c/d. a/b(d)=c/d(bd)? covers all topics & solutions for UPSC 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A/b=c/d. a/b(d)=c/d(bd)?.
Solutions for A/b=c/d. a/b(d)=c/d(bd)? in English & in Hindi are available as part of our courses for UPSC.
Download more important topics, notes, lectures and mock test series for UPSC Exam by signing up for free.
Here you can find the meaning of A/b=c/d. a/b(d)=c/d(bd)? defined & explained in the simplest way possible. Besides giving the explanation of
A/b=c/d. a/b(d)=c/d(bd)?, a detailed solution for A/b=c/d. a/b(d)=c/d(bd)? has been provided alongside types of A/b=c/d. a/b(d)=c/d(bd)? theory, EduRev gives you an
ample number of questions to practice A/b=c/d. a/b(d)=c/d(bd)? tests, examples and also practice UPSC tests.
|
|
Explore Courses for UPSC exam
|
|
Signup for Free!
Signup to see your scores go up within 7 days! Learn & Practice with 1000+ FREE Notes, Videos & Tests.
|
© EduRev
|
Education Revolution
|
|
Signup to see your scores
go up within 7 days!
Access 1000+ FREE Docs, Videos and Tests
Takes less than 10 seconds to signup