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If x¹/p =y¹/q=z¹/r and xyz = 1 , then the value of p+q+r is?
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If x¹/p =y¹/q=z¹/r and xyz = 1 , then the value of p+q+r is?
Given Information:
x¹/p = y¹/q = z¹/r
xyz = 1
To find:
The value of p+q+r
Solution:
Step 1: Express x, y, and z in terms of p, q, and r
From the given information:
x¹/p = y¹/q = z¹/r
This implies x = p, y = q, z = r
Step 2: Substitute the values of x, y, and z into the equation xyz = 1
(p)(q)(r) = 1
pqr = 1
Step 3: Express p, q, and r in terms of a common variable t
Let p = t, q = t, and r = t
Step 4: Substitute the values of p, q, and r back into the equation pqr = 1
(t)(t)(t) = 1
t³ = 1
t = 1
Step 5: Find the value of p+q+r
Since p = q = r = t = 1
p + q + r = 1 + 1 + 1 = 3
Therefore, the value of p+q+r is 3.
x¹/p = y¹/q = z¹/r
xyz = 1
To find:
The value of p+q+r
Solution:
Step 1: Express x, y, and z in terms of p, q, and r
From the given information:
x¹/p = y¹/q = z¹/r
This implies x = p, y = q, z = r
Step 2: Substitute the values of x, y, and z into the equation xyz = 1
(p)(q)(r) = 1
pqr = 1
Step 3: Express p, q, and r in terms of a common variable t
Let p = t, q = t, and r = t
Step 4: Substitute the values of p, q, and r back into the equation pqr = 1
(t)(t)(t) = 1
t³ = 1
t = 1
Step 5: Find the value of p+q+r
Since p = q = r = t = 1
p + q + r = 1 + 1 + 1 = 3
Therefore, the value of p+q+r is 3.
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If x¹/p =y¹/q=z¹/r and xyz = 1 , then the value of p+q+r is?
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If x¹/p =y¹/q=z¹/r and xyz = 1 , then the value of p+q+r is? for UPSC 2024 is part of UPSC preparation. The Question and answers have been prepared according to the UPSC exam syllabus. Information about If x¹/p =y¹/q=z¹/r and xyz = 1 , then the value of p+q+r is? covers all topics & solutions for UPSC 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for If x¹/p =y¹/q=z¹/r and xyz = 1 , then the value of p+q+r is?.
If x¹/p =y¹/q=z¹/r and xyz = 1 , then the value of p+q+r is? for UPSC 2024 is part of UPSC preparation. The Question and answers have been prepared according to the UPSC exam syllabus. Information about If x¹/p =y¹/q=z¹/r and xyz = 1 , then the value of p+q+r is? covers all topics & solutions for UPSC 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for If x¹/p =y¹/q=z¹/r and xyz = 1 , then the value of p+q+r is?.
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