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  • Question 1
    4 / -1

    If the slope of one of the lines represented by ax2 + (2a + 1)xy + 2y2 = 0 is reciprocal of the slope of the other, then the sum of squares of slopes is

  • Question 2
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  • Question 3
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    If the mean and S.D. of the data 3, 5, 7, a, b are 5 and 2 respectively, then a and b are the roots of the equation

  • Question 4
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    A linguistic club of a certain Institute consists of 6 girls and 4 boys. A team of 4 members to be selected from this group including the selection of a Captain (from among these 4 members) for the team. If the team has to include atmost one boy, the number of ways of selecting the team is

  • Question 5
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    The range of values of x for which ƒ(x) = x3 + 6x2 – 36x + 7 is increasing in

  • Question 6
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  • Question 7
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    The co-ordinates of the point, where the line  meets the plane 2x + 4y - z = 3, are

  • Question 8
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  • Question 9
    4 / -1

    The graphical solution set for the system of inequations

    x - 2y ≤ 2, 5x + 2y ≥ 10, 4x + 5y ≤ 20, x ≥ 0, y ≥ 0 is given by

  • Question 10
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    If two vertices of a triangle are A(3, 1, 4) and B(-4, 5, −3) and the centroid of the triangle is G(-1, 2, 1), then the third vertex C of the triangle is

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