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Statement -I: f: A to B is one -one and ...

Statement -I: `f: A to B` is one -one and `g: B to C` is a one-one function, then `gof : A to C` is one-one
Statement-II: If `f: A to B, g : B to A` are two functions such that gof`=I_(A)` and `fog=I_(B)`, then `f=g^(-1)`.
Statement-III: `f(x) =sec^(2)x- tan^(2)x, g(x) ="cosec"^(2)x-cot^(2)x`, then f=g. Which of the above statements is/are true:

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SRISIRI PUBLICATION-QUESTION PAPER -Section C
  1. If f:A to B is a bijective function then prove that (i) fof^(-1) = I...

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  2. If f:A to B is a bijective function then prove that (ii) f^(-1) of =...

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  3. Statement -I: f: A to B is one -one and g: B to C is a one-one functio...

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  4. Using Mathematical Induction, prove that statement for all n in N 1....

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  5. Using the principle of finite Mathematical Induction prove that 1^(2...

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  6. Using the principle of finite Mathematical Induction prove the followi...

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  7. Using the principle of finite Mathematical Induction prove the followi...

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  8. Using the principle of finite Mathematical Induction prove the followi...

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  9. Using the principle of finite Mathematical Induction prove the followi...

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  10. If A is a non-singular matrix then prove that A^(-1) = (adjA)/(|A|).

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  11. Show that |{:(1,a^2,a^3),(1,b^2,b^3),(1,c^2,c^3):}| =(a-b)(b-c)(c-a)(a...

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  12. Show that |{:(a-b-c," "2a," "2a),(" "2b,b-c-a," "2b),(" "2c," "2...

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  13. Show that |{:(a,b,c),(b,c,a),(c,a,b):}|^2=|{:(2bc-a^(2),c^(2),b^(2)),(...

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  14. Find the value of x, if |(x-2,2x-3,3x-4),(x-4,2x-9,3x-16),(x-8,2x-27,3...

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  15. If A = [(cos theta, sin theta),(-sin theta, cos theta)] then show that...

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  16. By Cramer's rule, solve x-y+3z = 5, 4x+2y-z = 0, x+3y+z = 5.

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  17. By Matrix inverse method, solve 3x+4y+5z = 18, 2x-y+8z=13, 5x-2y+7z = ...

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  18. By Matrix inverse method, solve 3x+4y+5z = 18, 2x-y+8z=13, 5x-2y+7z = ...

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  19. Solve the system of equations x+y+z=3,2x+2y-z=3,x+y-z=1 by Gauss Jorda...

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  20. Examine the consistency of the following systems of equations x+y+z=1...

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