Maths – Important Question Bank for Uttar Pradesh Board 12th/HSC Board Exam 2019

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After the tremendous success of our last year Important Question Bank for Uttar Pradesh class 12th HSC Board Exam 2016  and 2017 we have also created a list of  Most Important Question Bank for Uttar Pradesh Intermediate class XII (HSC) Board Exam 2019 which are likely to appear in HSC Board Exams this year.

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  1. There are 5 cards numbered 1 to 5 , one number on one card. Two cards drawn at random without replacement. Let X denote the sum of the number on two cards drawn. Find the mean and variance of X.
  2. Evaluate 
  3. Write a unit  vector perpendicular to both the vectors and 
  4. solve  by logarithmic differentiation.
  5. Find the area of the region bounded by x^2=4y, y=2, y=4 and the y-axis in the first quadrant.
  6. Find all the points of discontinuity of f, where f is defined by
    f(x)= 
  7. In a dice game, a player pays a stake of Re.1 for each throw of a die. She receives Rs.5 if the die shows a 3 , Rs.2 if the die shows a 1 or 6 and nothing otherwise. What is the player’s expected profit per throw over a long series of throws?
  8. Maximize Z=3x+2y+7
    Subject to the constraints: x+y<9, x>0 , y>0.
  9. If, then find the value of y

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