Maths – Important Question Bank for Karnataka Intermediate II PUC (HSC) Board Exam 2019

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After the tremendous success of our last year Important Question Bank for Karnataka 12th std  PUC HSC Board Exam 2016 2017 and 2018 we have also created a list of Important Question Bank for Karnataka Intermediate II PUC (HSC) Board Exam 2019 which are likely to appear in HSC Board Exams this year.

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1.Evaluate

2.Evaluate 

3. Write a unit  vector perpendicular to both the vectors  and 

4.The volume of a cube is increasing at a rate of 9 cubic centimeters per second. How fast is the surface area increasing when the length of an edge is 10 centimeter?

5. Solve

6.If A=  then find the value of A^2-3A+2I.

7. Find the inverse of 

8. Minimize and maximize z=3x+9y subject to the constraints

X+3y<60

X+y>10

X<y

x>0,y>0 by the graphical method.

9.Differentiate 

10 Evaluate

11.A black and a red dice are rolled. Find the conditional probability of obtaining a sum greater than 9, given that the black die resulted in a 5.

12.Find the continuity function of

13.Differentiate with respect to y = (5x – 3) ^ x

14.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?

15.Show that .

16. Find the adjoint of

17.Is f(x) = 7×4 – 5×3 – 3x + 1 a continuity function?

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