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Show that the function f:R->R defined by...

Show that the function `f:R->R` defined by `f(x)=x/(x^2+1) AA x in R` is neither one-one nor onto. Also if `g:R->R` is defined by `g(x)=2x-1` find fog(x)

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XII BOARD PREVIOUS YEAR PAPER ENGLISH-XII Boards-All Questions
  1. Using elementary row transformations, find the inverse of the matrix A...

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  2. Show that the relation R on the set A={x in Z :0lt=xlt=12} , given by...

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  3. Show that the function f:R->R defined by f(x)=x/(x^2+1) AA x in R is n...

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  4. If an operation ** on the set of integers Z is defined by a**b=2a^2+b ...

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  5. Find the equation of the plane passing through the point <math> <mr...

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  6. If A is a square matrix of order 2 and |A|=4, then find the value of |...

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  7. Solve the following differential equation: x[dy]/[dx]sin(y/x)+x-ysin...

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  8. Four cards are drawn one by one with replacement from a well-shuffled ...

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  9. int1^5(|x-1|+|x-2|+|x-4|)\ dx

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  10. Find the particular solution of the differential equation: (1+e^2x)dy+...

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  11. The probability of two students A and B coming to school are 2/7 and 4...

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  12. If y=(sinx)^x+sin^(-1)sqrt(1-x^2) then find (dy)/(dx)

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  13. If x,y,z are different and Delta=|[x,x^2,x^3-1],[y,y^2,y^3-1],[z,z^2,z...

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  14. Find the value of (x-y) from the matrix equation 2[(x,5),(7,y-3)]+[(-...

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  15. int cos2x*cos4x*cos6x dx

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  16. Solve the following differential equation: (y+3x^2)(dx)/(dy)=x

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  17. Prove that sin^(-1)(4/5)+tan^(-1)(5/12)+cos^(-1)(63/65)=pi/2

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  18. Find the angle between the line vec r = (2 hat i-hat j +3 hat k)+ lamb...

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  19. Find the interval in which the function f given by f(x)=sin2x+cos2x, 0...

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  20. Using vectors, prove that the points (2,-1,3) ,(3,-5,1) and (-1,11,9) ...

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