
### Instruction: help me answer this question Length of minor axis is 16 and foci (0, ±6). What is the equation of the ellipse?, think step by step
### Assistant: The foci are on the y-axis, so the major axis is along the y-axis. The equation of the ellipse will be of the form x2/b2 + y2/a2 = 1. Since the length of the minor axis is 16, b = 8. Also, c = 6. Using the formula a2 = b2 + c2, we get a = 10. Therefore, the equation of the ellipse is x2/64 + y2/100 = 1. , The answer is The equation of the ellipse is x2/64 + y2/100 = 1.
