In Exercises 1-3, determine whether the statement is true or false. Justify your answer. 1. The conic

Question:

In Exercises 1-3, determine whether the statement is true or false. Justify your answer.
1. The conic represented by the equation 3x2 + 2y2 − 18x − 16y + 58 = 0 is an ellipse.
2. The graphs of x2 + 10y − 10x + 5 = 0 and x2 + 16y2 + 10x − 32y − 23 = 0 do not intersect.
3. A hyperbola can have vertices (−9, 4) and (−3, 4) and foci (−6, 9) and (−6, −1).