 Hello and welcome to this session. In this session we will discuss a question which says that if a plus b iota is equal to 3 k minus iota whole square whole upon 9 a plus iota then claim that a square plus b square is equal to 9 a square plus 1 whole square whole upon 8 to 1 a square plus 1. Now before starting the solution of this question we should know a result. And that is if z is equal to x plus y a iota be a complex number then the conjugate of z is equal to x minus y a iota or you can write the conjugate of z is equal to x minus y a iota. This means that the conjugate of a complex number is found by changing the sign of the imaginary part. Now this result will work out as a key idea for solving out this question. And now we will start with the solution. Now this is given to us so given 3 a minus iota whole square whole upon 9 a plus iota. Now using this result which is given as a key idea the conjugate of a plus b iota is equal to the conjugate of 3 a minus iota whole square whole upon 9 a plus iota a plus b iota is equal to the conjugate of iota whole square whole upon the conjugate. Now using my minus b iota is equal to 3 a plus iota whole square 9 a minus iota. Now let us write this equation as equation number 1. Now multiplying iota whole into a minus b iota whole is equal to whole square whole upon iota the whole into iota whole square whole upon 9 a minus iota a plus b the whole into a minus b the whole which is equal to a square minus b square a square minus iota the whole whole upon 9 a plus iota the whole into 9 a minus iota the whole. Now this implies a square minus b square is equal to minus 1 equals 0. Now where I will just b the whole into a minus b the whole which is equal to a square minus b square whole upon 9 a whole square minus iota square this will be equal to plus so it will be plus b square is equal to iota square is equal to minus 1 so it will be here minus 1 so it will be minus 1 here. Now this is b square is equal to 9 a square plus 1 whole square whole upon 2 a square plus 1. That is all for this session. Hope you all have enjoyed this session.