`\color{green} ✍️ ` The plane having a complex number assigned to each of its point is called the `color(blue)"complex plane or the Argand plane."`
`\color{green} ✍️ ` We already know that corresponding to each ordered pair of real numbers `(x, y),` we get a unique point in the `XY` plane and vice-versa with reference to a set of mutually perpendicular lines known as the x-axis and the y-axis.
`\color{green} ✍️ ` The complex number `x + iy` which corresponds to the ordered pair `(x, y)` can be represented geometrically as the unique point `P(x, y)` in the `XY`-plane and vice-versa.
`\color{green} ✍️ ` Some complex numbers such as `2 + 4i, – 2 + 3i, 0 + 1i, 2 + 0i, – 5 –2i` and `1 – 2i` which correspond to the ordered pairs `(2, 4), ( – 2, 3), (0, 1), (2, 0), ( –5, –2),` and `(1, – 2),` respectively, have been represented geometrically by the points `A, B, C, D, E,` and `F,` respectively in the Fig 5.1.
`\color{green} ✍️ ` The points on the `x`-axis corresponds to the complex numbers of the form `a + i 0`
and the points on the `y`-axis corresponds to the complex numbers of the form `0 + i b.`
`\color{green} ✍️ ` The `x`-axis and `y`-axis in the Argand plane are called, respectively, the `color(blue)"real axis"` and the `color(blue)"imaginary axis."`
`\color{green} ✍️ ` The plane having a complex number assigned to each of its point is called the `color(blue)"complex plane or the Argand plane."`
`\color{green} ✍️ ` We already know that corresponding to each ordered pair of real numbers `(x, y),` we get a unique point in the `XY` plane and vice-versa with reference to a set of mutually perpendicular lines known as the x-axis and the y-axis.
`\color{green} ✍️ ` The complex number `x + iy` which corresponds to the ordered pair `(x, y)` can be represented geometrically as the unique point `P(x, y)` in the `XY`-plane and vice-versa.
`\color{green} ✍️ ` Some complex numbers such as `2 + 4i, – 2 + 3i, 0 + 1i, 2 + 0i, – 5 –2i` and `1 – 2i` which correspond to the ordered pairs `(2, 4), ( – 2, 3), (0, 1), (2, 0), ( –5, –2),` and `(1, – 2),` respectively, have been represented geometrically by the points `A, B, C, D, E,` and `F,` respectively in the Fig 5.1.
`\color{green} ✍️ ` The points on the `x`-axis corresponds to the complex numbers of the form `a + i 0`
and the points on the `y`-axis corresponds to the complex numbers of the form `0 + i b.`
`\color{green} ✍️ ` The `x`-axis and `y`-axis in the Argand plane are called, respectively, the `color(blue)"real axis"` and the `color(blue)"imaginary axis."`