MEDIUM
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The modulus of the complex number is
(a)
(b)
(c)
(d)

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Important Questions on Complex Numbers and Quadratic Equations
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If is a complex number satisfying then the maximum possible value of is-

EASY
If is a purely imaginary number and , then a value of is :

EASY
If the conjugate of a complex number is then is

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Let If and respectively denote the real and imaginary parts of then

EASY
Find the real part of the complex number

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Let and be complex numbers satisfying and . Then

HARD
Let be a fixed non-zero complex number with and where is a complex number. Then

EASY
Let be a complex number such that the principal value of argument, Then, is

MEDIUM
If and are unit vectors and , then is equal to.

HARD
A complex number is said to be unimodular if . Let and are complex numbers such that is unimodular and is not unimodular, then the point lies on a

EASY
If and , then is equal to

MEDIUM
All the points in the set lie on a

MEDIUM
If is a real number, then an argument of is

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If are the least and the greatest values respectively of where and then

EASY
Let and be complex numbers such that and If and then is

HARD
For any non-zero complex number the minimum value of is

HARD
If is a complex number of unit modulus and argument , then arg can be equal to

MEDIUM
If and , has magnitude , then is equal to:

EASY
A real value of will satisfy the equation , if

