 Hello and how are you all today my name is Priyanka and I shall be helping you with the following question says in each of the exercise 7 to 15, find the equation of the hyperbola satisfying the given conditions. Here the Foucaille is given to us as plus minus 5 comma 0 and the transverse axis is of length 8. Now before proceeding on with the solution we should be well versed that if the Foucaille lies on x axis then we have Foucaille as equal to plus minus c comma 0 and the length of transverse axis is equal to 2a. Now the knowledge of these formulas are the key ideas to the question. Now let us proceed on. Here we are given pi as equal to plus minus 5 comma 0 and on comparing it with the key idea we have and we know Foucaille as plus minus c comma 0 thus the value of c is equal to 5. Also the length of transverse axis is known to us as 2a but it is given to us as 8 thus we have the value of a as 4. Now with the help of the values of c and a we can find out the value of b. We know that b square is equal to c square minus a square isn't it? So we have b square is equal to c square is 25, a square is 16 that further implies that the value of b square is equal to 9. Thus the general equation of the hyperbola is x square by a square a is 4 so a square will be 16 minus y square by b square that is 9 is equal to 1. So this was our required answer to the session. Hope you enjoyed and understood it well. Have a nice day ahead.