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Questions and Answers
Where is the National Defence Academy (NDA) located?
Where is the National Defence Academy (NDA) located?
What is unique about the National Defence Academy (NDA)?
What is unique about the National Defence Academy (NDA)?
How many divisions does the National Defence Academy (NDA) have?
How many divisions does the National Defence Academy (NDA) have?
What is the duration of the course at the National Defence Academy (NDA)?
What is the duration of the course at the National Defence Academy (NDA)?
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Who conducts the entrance examination for the National Defence Academy (NDA)?
Who conducts the entrance examination for the National Defence Academy (NDA)?
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What is the age eligibility criterion for applying to the National Defence Academy (NDA)?
What is the age eligibility criterion for applying to the National Defence Academy (NDA)?
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What are the two necessary conditions for a function f to have an inverse function f^(-1)?
What are the two necessary conditions for a function f to have an inverse function f^(-1)?
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If f is a one-to-one function, what can be concluded about f^(-1)?
If f is a one-to-one function, what can be concluded about f^(-1)?
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How do you find the inverse function f^(-1) of a given function f?
How do you find the inverse function f^(-1) of a given function f?
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If f(x) = x^2, what is f^(-1)(x)?
If f(x) = x^2, what is f^(-1)(x)?
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What is the property of f and f^(-1) such that (f^(-1))^(-1) = ?
What is the property of f and f^(-1) such that (f^(-1))^(-1) = ?
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Study Notes
National Defence Academy (NDA)
Overview
- The National Defence Academy (NDA) is the Joint Services academy of the Indian Armed Forces.
- Located in Khadakwasla, Pune, Maharashtra.
History
- Established in 1954.
- First tri-service academy in the world.
Academy Structure
- Divided into three divisions:
- Army Division
- Navy Division
- Air Force Division
- Each division has its own squadron.
Curriculum
- Three-year course:
- First year: Basic training and academics
- Second year: Specialized training in respective services
- Third year: Advanced training and commissioning
- Curriculum includes:
- Humanities
- Science
- Languages
- Physical education
- Military training
Entrance Examination
- Conducted by the Union Public Service Commission (UPSC)
- Held twice a year
- Exam pattern:
- Written exam (Mathematics and General Ability Test)
- Service Selection Board (SSB) interview
- Medical examination
Eligibility Criteria
- Age: 16.5 to 19.5 years
- Nationality: Indian
- Marital status: Unmarried
- Educational qualification: 10+2 or equivalent with Physics and Mathematics
Career Prospects
- Commissioned as officers in the Indian Armed Forces
- Opportunities for further education and training
- Leadership roles in various fields
National Defence Academy (NDA)
Overview
- Joint Services academy of the Indian Armed Forces
- Located in Khadakwasla, Pune, Maharashtra
History
- Established in 1954
- First tri-service academy in the world
Academy Structure
- Divided into three divisions: Army, Navy, and Air Force
- Each division has its own squadron
Curriculum
- Three-year course with the following structure:
- First year: Basic training and academics
- Second year: Specialized training in respective services
- Third year: Advanced training and commissioning
- Subjects covered: Humanities, Science, Languages, Physical education, and Military training
Entrance Examination
- Conducted by the Union Public Service Commission (UPSC)
- Held twice a year
- Exam pattern consists of:
- Written exam (Mathematics and General Ability Test)
- Service Selection Board (SSB) interview
- Medical examination
Eligibility Criteria
- Age: 16.5 to 19.5 years
- Nationality: Indian
- Marital status: Unmarried
- Educational qualification: 10+2 or equivalent with Physics and Mathematics
Career Prospects
- Commissioned as officers in the Indian Armed Forces
- Opportunities for further education and training
- Leadership roles in various fields
Inverse Functions
Definition
- A function
fhas an inverse functionf^(-1)if it is both one-to-one and onto.
Properties
- A one-to-one function
fhas a one-to-one inverse functionf^(-1). - An onto function
fhas an onto inverse functionf^(-1). - The inverse of the inverse function
f^(-1)is the original functionf, i.e.,(f^(-1))^(-1) = f.
Finding Inverse Functions
- To find the inverse function
f^(-1), switchxandyin the original functionf(x) = y. - Solve for
yin the modified function to obtainf^(-1)(y) = x. - The resulting function is the inverse function
f^(-1).
Examples
Inverse of Linear Function
- If
f(x) = 2x, thenf^(-1)(x) = x/2.
Inverse of Quadratic Function
- If
f(x) = x^2, thenf^(-1)(x) = ±√x.
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Description
Test your knowledge about the National Defence Academy (NDA), a premier institution of the Indian Armed Forces. Learn about its history, structure, and curriculum.
