CA CPT Exam > CA CPT Questions > [1-{1-(1-X2)-1}-1]-1/2 Related: Ratio and Pr...
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[1-{1-(1-X2)-1}-1]-1/2
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[1-{1-(1-X2)-1}-1]-1/2 Related: Ratio and Proportion, Indices, Logari...
Introduction: In this question, we need to simplify the expression [1-{1-(1-X2)-1}-1]-1/2. This involves the use of indices, logarithms, and ratio and proportion concepts.
Simplifying the Expression:
Step 1: Simplify the expression within the brackets first as follows:
- (1-X2)-1 = 1/(1-X2)
- 1-(1-X2)-1 = 1 - 1/(1-X2) = (1-X2-1)/(1-X2) = -X2/(1-X2)
- 1-{1-(1-X2)-1}-1 = 1 + X2/(1-X2) - 1 = X2/(1-X2)
Step 2: Substitute the simplified expression into the main expression as follows:
- [1-{1-(1-X2)-1}-1]-1/2 = [1-X2/(1-X2)]-1/2 = 1/sqrt(1-X2)
Conclusion: The simplified expression is 1/sqrt(1-X2).
Simplifying the Expression:
Step 1: Simplify the expression within the brackets first as follows:
- (1-X2)-1 = 1/(1-X2)
- 1-(1-X2)-1 = 1 - 1/(1-X2) = (1-X2-1)/(1-X2) = -X2/(1-X2)
- 1-{1-(1-X2)-1}-1 = 1 + X2/(1-X2) - 1 = X2/(1-X2)
Step 2: Substitute the simplified expression into the main expression as follows:
- [1-{1-(1-X2)-1}-1]-1/2 = [1-X2/(1-X2)]-1/2 = 1/sqrt(1-X2)
Conclusion: The simplified expression is 1/sqrt(1-X2).
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[1-{1-(1-X2)-1}-1]-1/2 Related: Ratio and Proportion, Indices, Logarithms (Part - 2)?
Question Description
[1-{1-(1-X2)-1}-1]-1/2 Related: Ratio and Proportion, Indices, Logarithms (Part - 2)? for CA CPT 2024 is part of CA CPT preparation. The Question and answers have been prepared according to the CA CPT exam syllabus. Information about [1-{1-(1-X2)-1}-1]-1/2 Related: Ratio and Proportion, Indices, Logarithms (Part - 2)? covers all topics & solutions for CA CPT 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for [1-{1-(1-X2)-1}-1]-1/2 Related: Ratio and Proportion, Indices, Logarithms (Part - 2)?.
[1-{1-(1-X2)-1}-1]-1/2 Related: Ratio and Proportion, Indices, Logarithms (Part - 2)? for CA CPT 2024 is part of CA CPT preparation. The Question and answers have been prepared according to the CA CPT exam syllabus. Information about [1-{1-(1-X2)-1}-1]-1/2 Related: Ratio and Proportion, Indices, Logarithms (Part - 2)? covers all topics & solutions for CA CPT 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for [1-{1-(1-X2)-1}-1]-1/2 Related: Ratio and Proportion, Indices, Logarithms (Part - 2)?.
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