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Integral Calcul...

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  • Question 5
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    Match the List –I with List –II.

  • Question 6
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    If an error of 1% is made in measuring the major and minor axes of an ellipse, then the percentage error in the area is approximately equal to

  • Question 7
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    Consider the Assertion (A) and Reason (R) given below:

    Reason (R): Given function u is homogeneous of degree 2 in x and y.
    Of these statements

  • Question 8
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    If u = x log xy, where  x3  + y3  + 3xy = 1, then du/dx is equal to

  • Question 9
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    f(x) = x2 e-x  is increasing in the interval

  • Question 10
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    The minimum distance from the point (4, 2) to the parabola y2  =​8x is

  • Question 11
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    The co-ordinates of the point on the parabola y  = x2  + 7x + 2  which is closest to the straight line y  = 3x - 3, are

  • Question 12
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    The shortest distance of the point (0, c), where 0  ≤c  ≤5, from the parabola y  = x2  is  

  • Question 13
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    The set of equations

    has infinite solutions, if a=

  • Question 14
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    The maximum value of ( 1/x)x  is  

  • Question 15
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    The minimum value of  3x+5y  such that:

    is ___________.

  • Question 16
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    The condition for which the eigenvalues of the matrix

    are positive, is

  • Question 17
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    The maximum value of f ( x) = (1 + cos x) sin x is

  • Question 18
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    The solution to the system of equations

  • Question 19
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    The greatest value of

    on the interval [0, π/2] is  

  • Question 20
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    For what value of a, if any, will the following system of equations in x, y and z have a solution
    2x + 3y = 4
    x + y + z = 4
    x + 2y - z = a

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