Here you will learn what is the polar form of complex numbers with examples. Let’s begin – Polar Form of Complex Numbers Let z = x + iy be a complex number represented by a point P(x, y) in the argand plane. Then by the geometrical representation of z = x + iy, we have […]
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Here you will learn how to find argument or amplitude of a complex number with examples. Let’s begin – Amplitude of a Complex Number (Argument of Complex Number) Let z = x + iy, Then, The angle θ which OP makes with the positive direction of x-axis in anticlockwise sense is called the argument or
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Here you will learn what is square root and how to find square root of complex number with examples. Let’s begin – How to Find Square Root of Complex Number Let a + ib be a complex number such that √a+ib = x + iy, where x and y are real numbers. Then,
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Here you will learn how to find the reciprocal of a complex number with examples. Let’s begin – How to Find the Reciprocal of a Complex Number The reciprocal is also called multiplicative inverse. Let z = a + ib be a non-zero complex number. Then 1z = 1a+ib Multiply numerator
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Here you will learn how to find the modulus of a complex number and properties of modulus with examples. Let’s begin – How to Find the Modulus of a Complex Number The modulus of a complex number z = a + ib is denoted by | z | and is defined as | z |
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Here you will learn how to find the conjugate of a complex number and properties of conjugate with examples. Let’s begin – How to Find the Conjugate of a Complex Number Let z = a + ib be a complex number. Then the conjugate of z is denoted by ˉz and is equal to a
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Here you will learn what is the division of complex numbers with examples. Let’s begin – Division of Complex Numbers The division of a complex number z1 by a non-zero complex number z2 is defined as the multiplication of z1 by the multiplicative inverse of z2 and is denoted by z1z2. Thus, z1z2
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Here you will learn multiplication of complex numbers and its properties with examples. Let’s begin – Multiplication of Complex Numbers Let z1 = a1+ib1 and z2 = a2+ib2 be two complex numbers. Then the multiplication of z1 with z2 is denoted by z1z2 and is defined as the complex number
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Here you will learn subtraction and addition of complex numbers and its properties with examples. Let’s begin – Addition of Complex Numbers Let z1 = a1+ib1 and z2 = a2+ib2 be two complex numbers. Then their sum z1+z2 is defined as the complex number (a1+a2) + i\((b_1
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Here you will learn what is the complex number class 11 and equality of complex numbers with examples. Let’s begin – Complex Number Class 11 If a, b are two real numbers, then a number of the form a + ib is called aa complex number. Example : 7 + 2i, -1 + i, 3
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