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Show that the points in the Argand plane...

Show that the points in the Argand plane represented by the complex numbers `-2+7i,-(3)/(2)+(1)/(2)+i4-3i(7)/(2)(1+i)` are the vertices of a rhombus.

Text Solution

Verified by Experts

The correct Answer is:
`sqrt(34)`
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Show that the points in the Argand plane represented by the complex numbers -2+7i,-(3)/(2)+(1)/(2)i,4-3i,(7)/(2)(1+i) are the vertices of a rhombus.

Show that the points in the Argand diagram represented by the complex number 1+3i,4-3i,5-5i are collinear.

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 1+2i,2+3i and -4-3i form

    A
    collinear
    B
    right angled triangle
    C
    equilateral triangle
    D
    none

  • 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

    • Similar Questions

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    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.

    Show that the points in the Argand plnae, represented by the complex numbers 2+i4+3i,2+5i,3i are the vertices of a square.

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

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

    The conjugate complex number of (2-i)/((1-2i)^2) is

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