JEE MATHEMATICS MCQ: COMPLEX NUMBERS

1 Easy

1 of 1

Application +4 | -1

{\left( {\sqrt 3 + i} \right)^{100}} = {2^{99}}\left( {p + iq} \right)

, then

p

and

q

are roots of the equation

View answer and explanation

Correct option: A

{x^2} - \left( {\sqrt 3 - 1} \right)x - \sqrt 3 = 0

Option A (

{x^2} - \left( {\sqrt 3 - 1} \right)x - \sqrt 3 = 0

) is correct because it is the quadratic equation whose roots are the real and imaginary parts of the complex number.

More Questions from COMPLEX NUMBERS

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z \neq \pm 1

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\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

{\left( {1 - {x^2} + x} \right)^6} - {\left( {1 - x + {x^2}} \right)^6}