CA Foundation Exam > CA Foundation Questions > X^1/p=y^1/q=z^1/r and xyz=1 ,then the value o...
Start Learning for Free
X^1/p=y^1/q=z^1/r and xyz=1 ,then the value of p q r is?
Most Upvoted Answer
X^1/p=y^1/q=z^1/r and xyz=1 ,then the value of p q r is?
Explanation:
Solution:
Given, X^1/p=y^1/q=z^1/r and xyz=1
We need to find the value of p, q, and r.
Solution:
Step 1: Express X, Y, and Z in terms of p, q, and r
As per the given equation,
X^1/p=y^1/q=z^1/r
Let's take the cube of all the terms,
X^3/p=y^3/q=z^3/r
Now, let's express X, Y, and Z in terms of p, q, and r
X = (X^3/p)^(1/3) = (Y^3/q)^(1/3) = (Z^3/r)^(1/3)
Y = (X^3/p)^(1/3) = (Y^3/q)^(1/3) = (Z^3/r)^(1/3)
Z = (X^3/p)^(1/3) = (Y^3/q)^(1/3) = (Z^3/r)^(1/3)
Step 2: Substitute the value of X, Y, and Z in xyz=1
xyz=1
(X*Y*Z) = 1
[(X^3/p)^(1/3)] * [(Y^3/q)^(1/3)] * [(Z^3/r)^(1/3)] = 1
[X^(3/p) * Y^(3/q) * Z^(3/r)]^(1/3) = 1
[X^(q*r) * Y^(p*r) * Z^(p*q)]^(1/3) = 1
X^(q*r) * Y^(p*r) * Z^(p*q) = 1
Step 3: Substitute the value of X, Y, and Z in X^3/p=y^3/q=z^3/r
X^3/p=y^3/q=z^3/r
Substituting the value of X, Y, and Z,
(X^(q*r))^3/p = (Y^(p*r))^3/q = (Z^(p*q))^3/r
X^(3q*r/p) = Y^(3p*r/q) = Z^(3p*q/r)
Step 4: Equate the exponents in the above two equations
X^(3q*r/p) = Y^(3p*r/q) = Z^(3p*q/r)
3q*r/p = 3p*r/q = 3p*q/r
q = 3p, r = 3q = 9p
Step 5: Find the value of p
q = 3p, r = 9p
Community Answer
X^1/p=y^1/q=z^1/r and xyz=1 ,then the value of p q r is?
Attention CA Foundation Students!
To make sure you are not studying endlessly, EduRev has designed CA Foundation study material, with Structured Courses, Videos, & Test Series. Plus get personalized analysis, doubt solving and improvement plans to achieve a great score in CA Foundation.
|
Explore Courses for CA Foundation exam
|
|
Similar CA Foundation Doubts
Top Courses for CA FoundationView all
X^1/p=y^1/q=z^1/r and xyz=1 ,then the value of p q r is?
Question Description
X^1/p=y^1/q=z^1/r and xyz=1 ,then the value of p q r is? 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 X^1/p=y^1/q=z^1/r and xyz=1 ,then the value of p q r is? covers all topics & solutions for CA Foundation 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for X^1/p=y^1/q=z^1/r and xyz=1 ,then the value of p q r is?.
X^1/p=y^1/q=z^1/r and xyz=1 ,then the value of p q r is? 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 X^1/p=y^1/q=z^1/r and xyz=1 ,then the value of p q r is? covers all topics & solutions for CA Foundation 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for X^1/p=y^1/q=z^1/r and xyz=1 ,then the value of p q r is?.
Solutions for X^1/p=y^1/q=z^1/r and xyz=1 ,then the value of p q r is? in English & in Hindi are available as part of our courses for CA Foundation.
Download more important topics, notes, lectures and mock test series for CA Foundation Exam by signing up for free.
Here you can find the meaning of X^1/p=y^1/q=z^1/r and xyz=1 ,then the value of p q r is? defined & explained in the simplest way possible. Besides giving the explanation of
X^1/p=y^1/q=z^1/r and xyz=1 ,then the value of p q r is?, a detailed solution for X^1/p=y^1/q=z^1/r and xyz=1 ,then the value of p q r is? has been provided alongside types of X^1/p=y^1/q=z^1/r and xyz=1 ,then the value of p q r is? theory, EduRev gives you an
ample number of questions to practice X^1/p=y^1/q=z^1/r and xyz=1 ,then the value of p q r is? tests, examples and also practice CA Foundation tests.
|
|
Explore Courses for CA Foundation exam
|
|
Suggested Free Tests
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