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Mathematics Test 245

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Mathematics Test 245
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  • Question 1
    4 / -1

    Solution

     

  • Question 2
    4 / -1

    Let a and b respectively be the semi-transverse and semi-conjugate axes of a hyperbola whose eccentricity satisfies the equation 9e− 18e + 5 = 0. If S (5,0) is a focus and 5x = 9 is the corresponding directrix of this hyperbola, then a− b2 is equal to:

    Solution

     

  • Question 3
    4 / -1

    Solution

     

  • Question 4
    4 / -1

    If the tangent at a point on the ellipse  meets the coordinate axes at A and B, and O is the origin, then the minimum area (in sq. units) of the triangle OAB is:

    Solution

     

  • Question 5
    4 / -1

    Solution

     

  • Question 6
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    Solution

     

  • Question 7
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    Solution

     

  • Question 8
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    Solution

     

  • Question 9
    4 / -1

    Let the mean and the variance of 6 observation a, b, 68, 44, 48, 60 be 55 and 194, respectively if a > b, then a + 3b is

    Solution

    Solve (1) & (2);

    a = 75, b = 35

    ∴ a + 3b = 75 + 3(35) = 75 + 105 = 180 

    Hence, Option (3) is correct

     

  • Question 10
    4 / -1

    The area between the curves y = 3x2 - x - 3 and y = -2x2 + 4x + 7 is (in sq. units):

    Solution

    ∴ Option 1 is correct

     

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