Vectorial Representation of a Complex Number
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is equal to
POQis a straight line through the origin O, P and Q represent the complex numbers a+ib andc+id respectively and OP=OQ, then
|a+ib|=|c+id|
a+c=b+d
arg(a+ib)=arg(c+id)
None of these
A man walks a distance of 3 units, from the origin towards the north - east (N45∘E) direction. From there, he walks a distance of 4 units towards the north - west (N45∘E) direction to reach a point P. Then the position of P in the Argand plane is:
3eiπ/4+4i
(3−4i)eiπ/4
(4+3i)eiπ/4
(3+4i)eiπ/4
A man walks a distance of 3 units, from the origin towards the north - east (N45∘E) direction. From there, he walks a distance of 4 units towards the north - west (N45∘E) direction to reach a point P. Then the position of P in the Argand plane is:
3eiπ/4+4i
(3−4i)eiπ/4
(4+3i)eiπ/4
(3+4i)eiπ/4
Locus of point z so that z, i, and iz are collinear, is
A straight line
A circle
An ellipse
A rectangular hyperbola