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Two numbers are selected at random(witho...

Two numbers are selected at random(without replacement) from the first five positive integers. Let X denote the larger of the two numbers obtained. Find the mean and variance of X

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XII BOARD PREVIOUS YEAR PAPER ENGLISH-XII Boards-All Questions
  1. Suppose a girl throws a die. If she gets 1 or 2 , she tosses a coin th...

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  2. If A=[(2,-3,5),(3,2,-4),(1,1,-2)] find A^(-1). Use it to solve the sys...

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  3. Two numbers are selected at random(without replacement) from the first...

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  4. Using elementary row transformations, find the inverse of the matrix A...

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

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

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

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

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

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

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

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

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

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

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

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  18. int cos2x*cos4x*cos6x dx

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

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

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