AIEEE,IIT JEE MATHS-complex numbers Online Test

If z=x+iy and  than  shows that in complex plane _____.
z will be at imaginary axis
z will be at real axis
z will be at unity circle
None of these
If  where z is a complex number, then the point z will lie on _____.
A circle
An ellipse
A straight line
None of the above
When  is purely imaginary, the locus described by the point  in the Argand diagram is a _____.
Straight line
Parabola
If  and  are two complex numbers, then  is _____.
If  then area of the triangle whose vertices are points  and  is _____.
The points  and  in the complex plane are _____.
Vertices of a right angled triangle
Collinear
Vertices of an obtuse angled triangle
Vertices of an equilateral triangle
Let  and  be two complex numbers such that . Then _____.
None of the above
If the area of the triangle formed by the points  and iz on the complex plane is 18, then the value of  is _____.
6
9
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Piyush Kirange

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