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Mark any four points A, B, C and D. Join...

Mark any four points A, B, C and D. Join them to make a quadrilateral. Name it.

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Knowledge Check

  • If A,B,C,D are the angles of a quadrilateral then tan""((A+B)/(4))=

    A
    `cos""((C-D)/(4))`
    B
    `cot""((C-D)/(4))`
    C
    `cos""((C+D)/(4))`
    D
    `cot""((C+D)/(4))`

  • If A,B,C,D are the angles of a cyclic quadrilateral then sinA+sinB=

    A
    `sin C + sin D`
    B
    `1`
    C
    `-1`
    D
    2

  • P is the centre of mass of a system of four point masses A, B, C and D, which are coplanar but not collinear. (a) P may or may not coincide with one of the point masses (b) P must lie within or on the edge of at least one of the triangles formed by taking A, B, C and D three at a time (c) P must lie on a line joining two of the points A, B, C, D (d) P lies outside the quadrangle ABCD

    A
    a & b are correct
    B
    c&d are correct
    C
    a & c are correct
    D
    b & d are correct

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    The area of any cyclic quadrilateral ABCD is given by A^(2)=(s-a)(s-b)(s-c) (s-d) , where 28 = a + b + c + d, a, b,c and d are the sides of the quadrilateral. Now consier a cyclic quadrilateral ABCD of area 1sq.unit and answer the following questions: The minimum perimeter of the quadrilateral is

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