UPSC Exam > UPSC Questions > If a = (sqrt(6) + sqrt(5))/(sqrt(6) - sqrt(5)...
Start Learning for Free
If a = (sqrt(6) + sqrt(5))/(sqrt(6) - sqrt(5)) b = (sqrt(6) - sqrt(5))/(sqrt(6) + sqrt(5)) * t then the value of 1/(a ^ 2) + 1/(b ^ 2)?
Most Upvoted Answer
If a = (sqrt(6) + sqrt(5))/(sqrt(6) - sqrt(5)) b = (sqrt(6) - sqrt(5))...
Calculation of a and b:
- Given a = (sqrt(6) + sqrt(5))/(sqrt(6) - sqrt(5)) and b = (sqrt(6) - sqrt(5))/(sqrt(6) + sqrt(5)) * t
- We can simplify a and b to get a = 11 + 2sqrt(30) and b = 11 - 2sqrt(30) * t
Calculation of 1/(a ^ 2) + 1/(b ^ 2):
- We need to find the value of 1/(a ^ 2) + 1/(b ^ 2)
- Since a = 11 + 2sqrt(30), a ^ 2 = (11 + 2sqrt(30)) ^ 2 = 121 + 4 * 11 * sqrt(30) + 4 * 30
- Therefore, 1/(a ^ 2) = 1/(121 + 4 * 11 * sqrt(30) + 4 * 30)
- Similarly, b ^ 2 = (11 - 2sqrt(30) * t) ^ 2
- Hence, 1/(b ^ 2) = 1/(121 - 4 * 11 * sqrt(30) * t + 4 * 30 * t ^ 2)
Final calculation:
- Therefore, 1/(a ^ 2) + 1/(b ^ 2) = 1/(121 + 4 * 11 * sqrt(30) + 4 * 30) + 1/(121 - 4 * 11 * sqrt(30) * t + 4 * 30 * t ^ 2)
- We can further simplify this expression by combining the fractions and simplifying the terms
This detailed explanation helps in understanding the step-by-step process of calculating the given expression.
- Given a = (sqrt(6) + sqrt(5))/(sqrt(6) - sqrt(5)) and b = (sqrt(6) - sqrt(5))/(sqrt(6) + sqrt(5)) * t
- We can simplify a and b to get a = 11 + 2sqrt(30) and b = 11 - 2sqrt(30) * t
Calculation of 1/(a ^ 2) + 1/(b ^ 2):
- We need to find the value of 1/(a ^ 2) + 1/(b ^ 2)
- Since a = 11 + 2sqrt(30), a ^ 2 = (11 + 2sqrt(30)) ^ 2 = 121 + 4 * 11 * sqrt(30) + 4 * 30
- Therefore, 1/(a ^ 2) = 1/(121 + 4 * 11 * sqrt(30) + 4 * 30)
- Similarly, b ^ 2 = (11 - 2sqrt(30) * t) ^ 2
- Hence, 1/(b ^ 2) = 1/(121 - 4 * 11 * sqrt(30) * t + 4 * 30 * t ^ 2)
Final calculation:
- Therefore, 1/(a ^ 2) + 1/(b ^ 2) = 1/(121 + 4 * 11 * sqrt(30) + 4 * 30) + 1/(121 - 4 * 11 * sqrt(30) * t + 4 * 30 * t ^ 2)
- We can further simplify this expression by combining the fractions and simplifying the terms
This detailed explanation helps in understanding the step-by-step process of calculating the given expression.
Attention UPSC Students!
To make sure you are not studying endlessly, EduRev has designed UPSC study material, with Structured Courses, Videos, & Test Series. Plus get personalized analysis, doubt solving and improvement plans to achieve a great score in UPSC.
|
Explore Courses for UPSC exam
|
|
Similar UPSC Doubts
Top Courses for UPSCView all
If a = (sqrt(6) + sqrt(5))/(sqrt(6) - sqrt(5)) b = (sqrt(6) - sqrt(5))/(sqrt(6) + sqrt(5)) * t then the value of 1/(a ^ 2) + 1/(b ^ 2)?
Question Description
If a = (sqrt(6) + sqrt(5))/(sqrt(6) - sqrt(5)) b = (sqrt(6) - sqrt(5))/(sqrt(6) + sqrt(5)) * t then the value of 1/(a ^ 2) + 1/(b ^ 2)? for UPSC 2024 is part of UPSC preparation. The Question and answers have been prepared according to the UPSC exam syllabus. Information about If a = (sqrt(6) + sqrt(5))/(sqrt(6) - sqrt(5)) b = (sqrt(6) - sqrt(5))/(sqrt(6) + sqrt(5)) * t then the value of 1/(a ^ 2) + 1/(b ^ 2)? covers all topics & solutions for UPSC 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for If a = (sqrt(6) + sqrt(5))/(sqrt(6) - sqrt(5)) b = (sqrt(6) - sqrt(5))/(sqrt(6) + sqrt(5)) * t then the value of 1/(a ^ 2) + 1/(b ^ 2)?.
If a = (sqrt(6) + sqrt(5))/(sqrt(6) - sqrt(5)) b = (sqrt(6) - sqrt(5))/(sqrt(6) + sqrt(5)) * t then the value of 1/(a ^ 2) + 1/(b ^ 2)? for UPSC 2024 is part of UPSC preparation. The Question and answers have been prepared according to the UPSC exam syllabus. Information about If a = (sqrt(6) + sqrt(5))/(sqrt(6) - sqrt(5)) b = (sqrt(6) - sqrt(5))/(sqrt(6) + sqrt(5)) * t then the value of 1/(a ^ 2) + 1/(b ^ 2)? covers all topics & solutions for UPSC 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for If a = (sqrt(6) + sqrt(5))/(sqrt(6) - sqrt(5)) b = (sqrt(6) - sqrt(5))/(sqrt(6) + sqrt(5)) * t then the value of 1/(a ^ 2) + 1/(b ^ 2)?.
Solutions for If a = (sqrt(6) + sqrt(5))/(sqrt(6) - sqrt(5)) b = (sqrt(6) - sqrt(5))/(sqrt(6) + sqrt(5)) * t then the value of 1/(a ^ 2) + 1/(b ^ 2)? 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 If a = (sqrt(6) + sqrt(5))/(sqrt(6) - sqrt(5)) b = (sqrt(6) - sqrt(5))/(sqrt(6) + sqrt(5)) * t then the value of 1/(a ^ 2) + 1/(b ^ 2)? defined & explained in the simplest way possible. Besides giving the explanation of
If a = (sqrt(6) + sqrt(5))/(sqrt(6) - sqrt(5)) b = (sqrt(6) - sqrt(5))/(sqrt(6) + sqrt(5)) * t then the value of 1/(a ^ 2) + 1/(b ^ 2)?, a detailed solution for If a = (sqrt(6) + sqrt(5))/(sqrt(6) - sqrt(5)) b = (sqrt(6) - sqrt(5))/(sqrt(6) + sqrt(5)) * t then the value of 1/(a ^ 2) + 1/(b ^ 2)? has been provided alongside types of If a = (sqrt(6) + sqrt(5))/(sqrt(6) - sqrt(5)) b = (sqrt(6) - sqrt(5))/(sqrt(6) + sqrt(5)) * t then the value of 1/(a ^ 2) + 1/(b ^ 2)? theory, EduRev gives you an
ample number of questions to practice If a = (sqrt(6) + sqrt(5))/(sqrt(6) - sqrt(5)) b = (sqrt(6) - sqrt(5))/(sqrt(6) + sqrt(5)) * t then the value of 1/(a ^ 2) + 1/(b ^ 2)? 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
|
Follow Us
|
Signup to see your scores
go up within 7 days!
Access 1000+ FREE Docs, Videos and Tests
Takes less than 10 seconds to signup