Study Chapter Details
The chapter “Complex Numbers and Quadratic Equations” in the UP Board Class 11 Maths Book introduces students to numbers beyond the real number system. It begins with the need for complex numbers to solve equations like x2+1=0x^2 + 1 = 0x2+1=0. Students learn the basic form of a complex number a+iba + iba+ib, where i=−1i = \sqrt{-1}i=−1?, along with important concepts such as real and imaginary parts, equality of complex numbers, and algebraic operations.
The chapter also covers the polar representation of complex numbers and the Argand plane, helping students visualize complex quantities. In the second part, students explore quadratic equations, their solutions, discriminant, nature of roots, and methods of solving equations using factorization and formulas.
With step-by-step examples and exercises, this chapter strengthens logical thinking and prepares students for advanced algebra, calculus, and competitive exams.
