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Consider f : R->{-4/3}->R-{4/3} given by...

Consider `f : R->{-4/3}->R-{4/3}` given by `f(x) = (4x+3)/(3x+4)`. Show that `f` is bijective. Find the inverse of `f` and hence find `f^(-1)(0) and x` such that `f^-1(x) = 2`.

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XII BOARDS PREVIOUS YEAR-XII Boards-All Questions
  1. Determine the product [[-4, 4, 4], [-7, 1, 3],[5, -3, -1]][[1, -1, 1]...

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  2. |(1+x,1,1),(1,1+y,1),(1,1,1+z)|=xy+yz+zx+xyz

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  3. Consider f : R->{-4/3}->R-{4/3} given by f(x) = (4x+3)/(3x+4). Show t...

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  4. The number of irrational roots of the equation (4x)/(x^2+x+3)+(5x)/(...

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  5. Show that the total surface area of a closed cuboid with square bas...

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  6. Using integration, find the area of the triangle ABC, coordinates o...

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  7. Evaluate : int(-1)^2|x^3-x|\ dx

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  8. Show that the differential equation 2y e^(x/y)\ dx+(y-2x e^(x y) ) dy=...

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  9. Find the particular solution of the following differential equation...

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  10. Find the area of a parallelogram ABCD whose side AB and the diagonal A...

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  11. Find the coordinates of the point where the line through the points (...

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  12. 4 कार्ड 1,3,5 और 7 हैं, एक कार्ड पर एक नंबर। दो कार्ड बिना प्रतिस्थापन...

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  13. In a shop X, 30 tins of pure ghee and 40 tins of adulterated ghee whic...

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  14. Let A=R-{3},B=R-{1}, and let f: AvecB be defined by f(x)=(x-2)/(x-3) i...

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  15. A wire of length 36m is to be cut into two pieces. One of the piece...

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  16. Using the method of integration, find the area of the triangle ABC, c...

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  17. Find the equation of the plane through the line of intersection of ...

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  18. If e^y(x+1)=1 , show that (d^2y)/(dx^2)=((dy)/(dx))^2 .

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  19. Let A=[[2,-1],[3,4]],B=[[5,4],[7,4]],C=[[2,5],[3,8]]. Find a matrix D ...

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  20. If x^my^n = (x + y)^(m+n), prove that (d^2y)/(dx^2)=0.

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