 Hi and welcome to the session. I'm Kanika and I'm going to help you to solve the following question. The question says express each of the complex number given in the exercises 1 to 10 in the form a plus iota b. Given complex number is 1 by 3 plus iota 7 by 3 plus 4 plus iota 1 by 3 minus minus 4 by 3 plus iota. Before solving this question, we should know that how to find some of two complex numbers and how to find difference of two complex numbers. Let's first understand how to add two complex numbers. z1 is equal to a plus iota b and z2 is equal to c plus iota d are any two complex numbers. Then there's some that is z1 plus z2 is equal to a plus c plus iota b plus t. That means for adding any two complex numbers, we have to first add their real part and then their imaginary part. Now let's understand how to find difference of two complex numbers. z1 is equal to a plus iota b and z2 is equal to c plus iota b are any two complex numbers. Then they have difference that is z1 minus z2 or we can say that addition of z1 and minus z2 is equal to a minus c plus iota b. With the help of these two rules, we will solve this question. Let's now begin with the solution. Given complex number is 1 by 3 plus iota 7 by 3 plus 4 plus iota 1 by 3 minus minus 4 by 3 plus iota. We have to express this complex number in the form a plus iota b. So let's first simplify this bracket. Now in this bracket, we have to find the sum of two complex numbers. So we will apply the rule for sum of two complex number. Applying the rule, this expression is equal to 1 by 3 plus 4 plus iota 7 by 3 plus 1 by 3 minus minus 4 by 3 plus iota. And this is equal to 13 by 3 plus iota 8 by 3 minus minus 4 by 3 plus iota. Now we have to find the difference of two complex numbers. So we will now apply the rule for difference of two complex number. By applying the rule, this expression is equal to 13 by 3 minus minus 4 by 3 plus iota 8 by 3 minus 1. We have taken the real and the imaginary part in separate brackets. And this is equal to 13 by 3 plus 4 by 3 plus iota 5 by 3. And this is equal to 17 by 3 plus iota 5 by 3. So the given expression in the form a plus iota b is 17 by 3 plus 5 by 3 iota where a is equal to 17 by 3 and b is equal to 5 by 3. This is our required answer. So this completes the session. Bye and take care.