Exercise 1.1 Class 10 Math Solutions – Unit 1 Complex Numbers, Punjab Board
Step-by-step solutions to Exercise 1.1, the first exercise of Unit 1: Complex Numbers, for Class 10 Punjab Board students. Covers the rectangular form of a complex number and the condition for equality of two complex numbers, worked out question by question.
Exercise Overview
Exercise 1.1 opens Unit 1 of Class 10 Mathematics, and it's really where a Punjab Board student meets complex numbers for the first time in this book. The exercise centres on two things: writing a complex number in its rectangular form, a + bi, and figuring out when two complex numbers are actually equal. That second idea trips up a lot of students at first, because equality here means matching the real parts separately and the imaginary parts separately – not just getting a similar-looking answer.
Most questions ask you to identify the real and imaginary parts of a given number, convert an expression into standard rectangular form, or solve for unknown values using the equality condition. If you're doing Unit 1 for the first time, this exercise sets the base for everything that follows – operations on complex numbers, conjugates, and the modulus all build on how comfortable you are with rectangular form here.
For board exam prep, Exercise 1.1 usually shows up as short questions rather than long ones, so the marks are smaller but frequent. Getting the equality condition solid also helps later when Unit 1's review exercise mixes it into MCQs and short-answer items. These solutions walk through each step so you can see exactly where the real part goes, where the imaginary part goes, and why.