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Solve sin^(-1)(x^(2)-2x+1)+cos^(-1)(x^(2...

Solve `sin^(-1)(x^(2)-2x+1)+cos^(-1)(x^(2)-x)=(pi)/2`

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To solve the equation \[ \sin^{-1}(x^2 - 2x + 1) + \cos^{-1}(x^2 - x) = \frac{\pi}{2}, \] we can use the property that ...
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RESONANCE-RELATION, FUNCTION & ITF-SSP
  1. Solve sin^(-1)(x^(2)-2x+1)+cos^(-1)(x^(2)-x)=(pi)/2

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  2. If (2x+y,7)=(5,y-3) then find x and y

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  3. If AxxB={(1,2),(1,3),(1,6),(7,2),(7,3),(7,6)} then find sets A and B.

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  4. If A={x,y,z) and B={1,2} then find number of relations from A to B.

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  5. Write R={(4x+3,1-x):xle2,xepsilonN}

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  6. Let L be the set of all lines in a plane and let R be a relation defin...

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  7. Let R be a relation on the set of all lines in a plane defined by (...

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  8. Let g(x) be a function defined on [-1,1]. If the area of the equilater...

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  9. Represent all possible functions defined from {alpha, beta} to {1,2}.

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  10. Find the domain of following function: f(x)=1/(log(2-x))+sqrt(x+1)

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  11. Find the domain of following function: f(x)=sqrt(1-x)-"sin^(-1)((2x-1)...

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  12. Find domain and range of following function: y=x^(3)

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  13. Find domain and range of following function: y=(x^(2)-2x+5)/(x^(2)+2x+...

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  14. Find domain and range of following function: y=1/(sqrt(x^(2)-x))

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  15. Following each of the following function find whether it is one-one o...

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  16. f(x)=1/(1+x^(2)),(-oo,0)toR

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  17. f(x)=x^(2)+lnx

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  18. Examine whether the folloiwng pair of function are identical or not: f...

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  19. Examine whether the folloiwng pair of function are identical or not: f...

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  20. Define fog(x) and gof(x). Also find their domain and range. (i) f(x) =...

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  21. Define fog(x) and gof(x). Also find their domain and range. (i) f(x) =...

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