Class 12th CBSE Mathematics 29 Questions 100 Marks, Question Paper, Sample Question Paper 2012 2013 Exam CBSE SiteMap

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Class 12th CBSE Mathematics 29 Questions 100 Marks

Class 12th CBSE Mathematics 29 Questions 100 Marks



Class 12th CBSE Mathematics 29 Questions 100 Marks

Sample Paper -2012
Class – XII
Mathematics
SECTION A:                     
1. If f: R  be given by  f ( x) =  then find
2. Find the value of Sin-1 ( sin )
3. If A =  and  A + AT = I. Find the value of
4. Find the value of ‘x’ if
5. Find the constant ‘c’ if A =
6. Evaluate
7. Evaluate 
8. Find
9. Find the value of
10. Find a unit vector perpendicular to each of the vectors
    


     
                                            OR
     

 
        
       
       
                                                       OR   
                 
     
                                                      OR   
                      
     
     
     
OR   
    

SECTION C:
23. Using elementary transformation find the inverse of the matrix
24. Show that all the rectangles inscribed in given circle square has the maximum area
                                                              OR  
      A water tank has the shape of an inverted right circular cone with its axis vertical and  
      vertex  lowermost .Its semi vertical angle is tan-1 ( 0.5) .Water is poured in to it at a 
      constant rate of 5 cubic  meter per hour .Find the rate at which the level of the water is
      rising at the instant when the depth of  the water tank  is 4m.
25. Prove that =  = 
                         OR  
        Evaluate limit as a sum
26. Find the area of the region bounded by the parabolas y2 = 4ax and x2 = 4by
27. A doctor is to visit a patient .From the past experiences , it is known that the probabilities
     that he will  come by train , bus , scooter or by other means of transport are respectively
      . The probabilities that he will be late are , if he comes by
      train , bus, and scooter respectively , but if he come by other means of transport , then he
      will not be late .When he arrives he is late .What is the probability that he comes by train ?
28. A line makes angles  with the diagonals of a cube , prove that
      
29. A manufacturing company produces two models A and B of a product .Each piece of
      model A requires 9 labour  hours for fabricating and 1 hour for finishing .Each piece of
      model B requires 12 labour  hours for fabricating and 3 hour for finishing. For fabricating
      and finishing the maximum labour hours available are 180 and 30 respectively .The
      company makes a profit of Rs.8000 on each piece of model A and Rs.12000 on each piece
      of model B .How many pieces of model A and model B should manufactured per week to
      get a maximum profit ? What is the maximum profit ( Solve as a linear programming
      problem)
M.A.CHAUHAN(MUSA SIR)
Mob.7500943454

 

 




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