For two complex numbers p and q, if Arg(p)-Arg(q)=π/2 as well as &ve – McqOptions

MCQOPTIONS

1.	For two complex numbers p and q, if Arg(p)-Arg(q)=π/2 as well as \|pq\|=1, what is the value of p̅q ?
A.	-i
B.	-1
C.	i
D.	1
Answer» B. -1

Discussion

No Comment Found

Related MCQs

Let z and ω be complex numbers satisfying zz̅+ω\(\overline{\omega}\)=100. If |z|,|ω|∈I, then find the minimum possible value of the expression |z+ω|.
Let z and ω be complex numbers such that ω has non-zero imaginary part and z≠1. If the expression (ω-\(\overline{\omega}\)z)/(1-z) is purely real, then find the set of values of z.
Let zz̅=64, and ω\(\overline{\omega}\)=36. Find the maximum possible value of |z+ω|.
If z and ω are the complex conjugates of each other, then find the value of (lnz+lnω)/ln|z|.
The hyperbola, x2–y2=1 can be represented on the Argand Plane by which of the following equations?
If the complex numbers (x2-3x+2)+i(y2-11y+40) and (x2-6x+8)+i(y2-9x+10) are conjugates of each other, Then what is the value of |x+iy|?
If a complex number z, with integral real and imaginary parts, satisfies z2+ z̅2=16, then find the value of |z|.
Let z=sinx+icos2x and ω=cosx-isin2x. Then for what values of x are z and ω conjugate of each other?
For a complex number z, if Re(z) and Im(z) are the roots of x2-7x+12=0 and z+z̅ is one of the roots of x2–10x+16=0, then, find Re(z)-Im(z).
Consider the complex number z, for which a line segment A is drawn connecting origin and the point z. Also, consider the line segment B connecting origin and z̅. if z = x+iy, and the smaller angle between A and B is α, then select the incorrect option.