Answer the following question

1.)

Given the equation of the ellipse 9x 2 + 4y^2 + 54x - 32y + 109 = 0, which of the following is TRUE? O The major axis is 1 unit longer than the minor axis. O The major axis is horizontal O The minor axis is 2 units shorter than the major axis O The minor axis is vertical\fThe midpoint of AB is at (8,-2). If A is at (6,10), what is the coordinate of B? O (10,-14) O (-10, -6) O (8,-4) O (4, -10)Which of the following is the equation of a circle? O 3x*2 + 2y*2 + x - 2y - 22 = 0 O 3x*2 - 3y*2 + 6x - 3y - 25 = 0 O 4x*2 + 4y^2 - 3x + y + 41 = 0 O x*2 + 2v*2 - 4x + 6y + 81=0The circle is tangent to both the x - and y - axes. If the radius is 4 units and is located at the fourth quadrant, what is the center of the circle? O ( 4, 4 ) O (- 4,4) O (- 4, - 4) O (4, - 4)Circle A and B are externally tangent to each other. Circle B is four times larger than circle A. If the center of circle A and B are (2, 3) and (14, 12) respectively, what is the point of tangency? O (5, 6) O (5, 7) O (6, 6) O (6, 7)What value of k will make the expression x^2 + 2kx + 16 a perfect square trinomial? O -8 O -4 O 2 O 6x + 2y - 5 = 0 is tangent to a circle whose center is at the origin. What is the radius of the circle?What is the distance between A(2,3) and x - 4y - 5 = 0? O 15/17 O V15/17 O 15/117 O V(15/17)B is the midpoint of AC. Which of the following statements is TRUE? O AC BC O AB = BC O AC = AB