JEE MATHEMATICS MCQ: COMPLEX NUMBERS

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Application +4 | -1

Let

p, q \in \mathbb{R}

and

(1-\sqrt{3} i)^{200}=2^{199}(p+i q), i=\sqrt{-1}

, then

p+q+q^{2}

and

p-q+q^{2}

are roots of the equation.

View answer and explanation

Correct option: A

x^{2}-4 x+1=0

The correct answer is A (

x^{{2}} - 4x + 1 = 0

) because it is the quadratic equation whose roots are derived from the given complex number equation.

More Questions from COMPLEX NUMBERS

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

|z|=1

z \neq \pm 1

z, \frac{z}{1-z^2}

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

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

(z+a b)^3=a^3

a \neq 0

\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}