Mathematics – Important Question Bank for Madhya Pradesh HSSC 12th (HSC) Board Exam 2019

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After the tremendous success of our last year Important Question Bank for Madhya Pradesh HSSC (HSC) Board Exam 2016, 2017 and 2018 have also created a list of  Most Important Question Bank for Madhya Pradesh HSSC 12th (HSC) Board Exam 2019 which are likely to appear in HSC Board Exams this year.

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  1. solve  by logarithmic differentiation.
  2. Find the determinants of .
  3. A bag contains 5 red marbles and 3 black marbles. Three marbles are drawn one by one without replacement. What is the probability that at least on of the three marbles drawn be black, if the first marble is red?
  4. Is the function f defined by f(x)=  continuous at x=0 or x=1 or x=2 ?
  5. Evaluate
  6. If P(A)=0.8, P(B)=0.5 and P(B/A)=0.4. Find (i) P(A intersection B). (ii) P(A given B). (iii)P(A union B).
  7. If Z=  then find the value of 3Z+Z+8I.
  8. Maximize Z= -x+2y, subject to the constraints: x>2, x+y>5 ,y>0
  9. Differentiate the function with respect to 
  10. Explain why the experiment of tossing a coin three times is said to have a binomial distribution.
  11. Write a unit  vector perpendicular to both the vectors  and 
  12. 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?
  13. Find the inverse of 
  14. A green and a blue dice are rolled. Find the conditional probability of obtaining a sum greater than 5, given that the blue die resulted in a 2.
  15. Find the area of the region bounded by y^2=9x, x=2, x=4 and the y-axis in the first quadrant.
  16. Evaluate 
  17. If x +y = , then write the value of y.

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