Complex Number
Description: Mathematical branch dealing with operations, properties, and applications of complex numbers, involving real and imaginary components.
Description: Ex. 10.1 Solution
Description: Ex. 10.1 Part-II Solution
Description: The square root of a complex number is a number that, when squared, equals the original number. The Fundamental Theorem of Algebra states that every polynomial equation has at least one root.
Description: Ex.10.2 Part -II Solution
Description: Ex.10.2 Part -III Solution
Description: Ex.10.2 Part -IV Solution
Description: Trigonometric ratios' signs change by quadrant: All positive (Q1), sine positive (Q2), tangent positive (Q3), cosine positive (Q4).
Description: Ex.10.3 Solution
Description: Ex 10.3 Part -II Solution
Description: Ex 10.3 Part -III Solution
Description: The cube roots of unity are 1, omega, and omega squared. Properties: cyclic, non-real, multiply to one, sum to zero, and evenly spaced on unit circle & Ex.10.4 Solutions
Description: Ex.10.4 Part-II Solution
Description: De Moivre's Theorem relates complex numbers and trigonometry, expressing powers of complex numbers using angles, facilitating computation of roots and powers Ex. 10.4 Part-III Solutions.
Description: Ex.10.4 Part-IV Solution
Description: Ex 10.3 Part -III Solution
