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Show that the points in the Argand digra...

Show that the points in the Argand digraam represented by the complex numbers `2+2i,-2-2i, 2 sqrt(3)+ 2sqrt(3)i` are the vertices of an equilateral triangle.

Text Solution

Verified by Experts

The correct Answer is:
`sqrt(32)`
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Show that the points in the Argand diagram represented by the complex number 1+3i,4-3i,5-5i are collinear.

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Knowledge Check

  • The points in the argand plane represented by the complex conjugates of 1+2i, 2-3i, 3-4i

    A
    are collinear
    B
    form an equilateral triangle
    C
    form an obtuse angled triangle
    D
    form an acute angled triangle

  • In the Argrand plane, the points represented by the complex numbers 2-i,-4+3i and -3-2i form

    A
    right angled triangle
    B
    equilateral triangle
    C
    isosceles triangle
    D
    right isosceles triangle

  • In the Argrand plane, the points represented by the complex numbers 1+2i,2+3i and -4-3i form

    A
    collinear
    B
    right angled triangle
    C
    equilateral triangle
    D
    none

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    Write the complex numbers in the form A+iB (-sqrt(3)+sqrt(2)(2sqrt(3)-i)

    In the Argand plane, the points represented by the complex numbers 2-6i ,4-7i, 3 - 5i and 1 - 4i form

    The points (2, 4), (2, 6), (2+ sqrt(3),5) are the vertices of

    If the Argand plane, the points represented by the complex numbers 7-4i,-3+8i,-2-6i and 18i form

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