JEE MATHEMATICS MCQ: COMPLEX NUMBERS

1 Easy

1 of 1

Analyzing +4 | -1

a

and

b

are real numbers between 0 and 1 such that the points

z_1=a+i, z_2=1+b i

and

z_3=0

form an equilateral triangle, then

View answer and explanation

Correct option: A

a=b=2-\sqrt{3}

should look like this

Option A (

a=b=2-\sqrt{3}

) is correct because it satisfies the equilateral triangle condition and the constraint that a and b are between 0 and 1.

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{\left| {1 - i} \right|^x} = {2^x}

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z \neq \pm 1

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\left|z_r-r\right| \leq r, \forall r=1,2,3, \ldots, n

\left|\sum\limits_{r=1}^n z_r\right|

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\alpha, \beta

\gamma

|\alpha-\beta|

{z^2} + {\left| z \right|^2} = 0,

z \in C

2x = - 1 + \sqrt 3 i

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