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  • Question 1
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    The area of the figure bounded by y = ex , y = e−x and the straight line x = 1 is

  • Question 2
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    The area bounded by the parabolas y = (x+1)2 and y = (x −1)2 and the line y = (1/4) is equal to

  • Question 3
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    The solution of the differential equation   is :

  • Question 4
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    The integrating factor of  differential equation is :

  • Question 5
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    The solution of the differential equation x dy = (2y + 2x4  + x2 ) dx is:​

  • Question 6
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    The angle between the vectors is:   is :

  • Question 7
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    If    are two vectors, such that   , then  = ……​

  • Question 8
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    The projection of the vector    on the vector is:​

  • Question 9
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    An urn contains five balls. Two balls are drawn and found to be white. The probability that all the balls are white is:​

  • Question 10
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    A bag ‘A ’contains 2 white and 3 red balls and a bag ‘B ’contains 4 white and 5 red balls. One ball is drawn at random from one of the bags and is found to be red. The probability that it was drawn from bag B is:​

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