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Fantom [35]
2 years ago
5

Which of the following is most likely the next step in the series?

Mathematics
1 answer:
S_A_V [24]2 years ago
5 0

⁺˚*・༓☾✧.* ☽༓・*˚⁺‧

❀ \huge\underline{ \underline{ \text{Answer :-}}}

➺ It's likely to be <u>option D.</u>

\underbrace{ \overbrace{ \mathfrak{Explanation}}}

➺ The first figure has a line which divides the circle ⭕ into 2 parts. The 2nd figure divides the circle ⭕ into 3 parts while the 3th figure divides the circle ⭕ into 4 parts. Obviously, the 4th figure then should divide the circle ⭕ into 5 parts. Checking all the given options,

  • Option A. doesn't divide the circle ⭕ into any parts.
  • Option B. divides the circle ⭕ into 3 parts
  • Option C. divides the circle ⭕ into 4 parts.
  • <u>Option D. divides the circle ⭕ into 5 parts.</u>

⟹ So, <u>option D.</u> is the correct answer.

⁺˚*・༓☾✧.* ☽༓・*˚⁺‧

ʰᵒᵖᵉ ⁱᵗ ʰᵉˡᵖˢ ツ

꧁❣ ʀᴀɪɴʙᴏᴡˢᵃˡᵗ2²2² ࿐

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elena-14-01-66 [18.8K]

Given:

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z=1+i\sqrt{3}

To find:

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Solution:

If a complex number is z=x+iy, then the argument of the complex number is:

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We have,

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Here, x=1 and y=\sqrt{3}. So, the argument of the given complex number is:

\theta =\tan^{-1}\dfrac{\sqrt{3}}{1}

\theta =\tan^{-1}\sqrt{3}

\theta =\tan^{-1}\left(\tan \dfrac{\pi}{3}\right)

\theta =\dfrac{\pi}{3}

Therefore, the argument of the given complex number is \theta =\dfrac{\pi}{3}.

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Step-by-step explanation:

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