 Hello and welcome to the session, my name is Asha and I shall be helping you with the following question that says, in each of the following exercise 10 to 20, find the equation of further LFs that satisfies the given conditions, 17 minus pokai plus minus 3 comma 0 and a is equal to 4. So, let us now start with the solution and please refer to the earlier before solving this problem to get an idea of an LFs whose major axis is along the x-axis. So we are given here that pokai is plus minus 3 comma 0 and the value of a is equal to 4 and since here as we can see the y coordinate of pokai is 0, therefore the pokai are on the x-axis. So, this implies that the major axis is along the x-axis since the two pokai lie on the major axis. Therefore, the equation will be of the form x square upon a square plus y square upon b square is equal to 1 where a is the length of semi major axis and b is the length of semi minor axis. Now, the pokai of this standard equation given by plus minus c comma 0 and here we are given the pokai as plus minus 3 comma 0. So, on comparing we find that c is equal to 3 and also we are given that a is equal to 4 and as we know c which is the distance of focus from the center is given by root over a square minus b square where c is the distance of focus from the center and it is substituted the value of c and a to get the value of b we have 3 is equal to root over 4 square minus b square or we have b square is equal to 16 minus 9 and this is equal to 7. Therefore, we have b square is equal to 7 and a square is equal to a is 4. So, we have 4 square is equal to 16. Now, let us substitute b square is equal to 7 and a square is equal to 16 and this is standard equation to get the equation of an ellipse. Therefore, equation of ellipse is given by x square upon 16 plus y square upon 7 is equal to 1. Hence, the answer is equation of an ellipse whose pokai is plus minus 3 comma 0 and a is equal to 4 is x square upon 16 plus y square upon 7 is equal to 1. So, this completes the session. Hope you have understood it well. Take care and have a good day.