Derive the equation of the ellipse with the given foci f and that passes through point p. write your answer in
standard form:
x2 / a2 + y2 / b2 = 1.
a. the foci are f(−2,0) and ,0), and point p(x, y) satisfies the condition pf + pg = 5.
b. the foci are f(−1,0) and ,0), and point pp(x, y) satisfies the condition pf + pg = 5.
c. the foci are f(0, −1) and ,1), and point p(x, y) satisfies the condition pf + pg = 4.
d. the foci are f(− 2 / 3 , 0) and / 3 , 0), and point p(x, y) satisfies the condition pf + pg = 3.
e. the foci are f(0, −5) and ,5), and point pp(x, y) satisfies the condition pf + pg = 12.
f. the foci are f(−6,0) and ,0), and point p(x, y) satisfies the condition pf + pg = 20.