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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)?
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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.
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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)?
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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)?.
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