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Mathematics Test - 19
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Mathematics Test - 19

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  • Question 1/10
    3 / -1

    Solutions

  • Question 2/10
    3 / -1

    Solutions

  • Question 3/10
    3 / -1

    Solutions

  • Question 4/10
    3 / -1

    Solutions

  • Question 5/10
    3 / -1

    Solutions

  • Question 6/10
    3 / -1

    The sides of the rectangle of the greatest area, that can be inscribed in the ellipse x2 + 2y2 = 8, are given by

    Solutions

  • Question 7/10
    3 / -1

    If A and B are two matrices such that AB = B and BA = A, then A2 + B2 is equal to-

    Solutions

    We have

    A2+B2=(BA)2+(AB)2

    =(BA)(BA)+(AB)(AB)

    =B(AB)A+A(BA)B

    =B(BA)+A(AB)=BA+AB=A+B

  • Question 8/10
    3 / -1

    Let Tn denote the number of triangles which can be formed by using the vertices of a regular polygon of n sides. If Tn +1 – Tn = 21, then n equals

    Solutions

  • Question 9/10
    3 / -1

    A line which is parallel to the x-axis and crosses the curve y =√x at an angle of 45o is

    Solutions

  • Question 10/10
    3 / -1

    Solutions

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