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Imaginary Number শব্দের বাংলা অর্থ: অবাস্তব সংখ্যা
Imaginary Number Meaning In Bengali অবাস্তব সংখ্যা
Imaginary Number
Definition
1) In mathematics, an imaginary number is a complex number that can be written as a real number multiplied by the imaginary unit \( i \), which is defined by its property \( i^2 = -1 \).
2) Imaginary numbers are used to extend the real number system to include solutions to equations that do not have real number solutions, such as the square root of a negative number.
3) Unlike real numbers, which can be plotted on a number line, imaginary numbers are not on the real number line but can be represented in the complex plane, where the horizontal axis represents real numbers and the vertical axis represents imaginary numbers.
Examples
Imaginary Number Example in a sentence
1) An imaginary number is a complex number that can be written as a real number multiplied by the imaginary unit, denoted by the letter 'i'.
2) The square root of a negative number results in an imaginary number.
3) Imaginary numbers are often used in mathematics to solve equations that have no real number solutions.
4) Complex numbers consist of both real and imaginary parts.
5) Multiplying an imaginary number by itself yields a negative real number.
6) Imaginary numbers are a crucial concept in understanding the complex number system.
7) The presence of imaginary numbers allows for the visualization of numbers beyond the real number line.
8) Imaginary numbers are represented on the complex plane, which has the real axis and the imaginary axis.
9) When working with polynomial equations, sometimes the solutions involve purely imaginary numbers.
10) Imaginary numbers play a fundamental role in various branches of mathematics, such as algebra, calculus, and number theory.
Part of Speech
Imaginary Number (Noun)
Synonyms
Encyclopedia
In mathematics, an imaginary number is a complex number that can be written as a real number multiplied by the imaginary unit \( i \), which is defined by its property \( i^2 = -1 \).
Imaginary numbers are used to extend the real number system to include solutions to equations that do not have real number solutions, such as the square root of a negative number.
Unlike real numbers, which can be plotted on a number line, imaginary numbers are not on the real number line but can be represented in the complex plane, where the horizontal axis represents real numbers and the vertical axis represents imaginary numbers.
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