**Answer: 2x+3y=18**

**Step-by-step explanation: Any line parallel to 2x+3y+11=0 is the form 2x+3y =k this can also be written as x/(k/2)+y/k/3 =1 this is the line whose sum of the intercepts is 15, then k/2 +k/3 = 15 after solving we get that indeedk= 18.**

**Answer: A. There are many tangent lines that contain point A.**

**Step-by-step explanation:**

Given, Point A is on circle O.

- A tangent line at a given point is the straight line that touches the curve at that point.

- A tangent line has to be perpendicular to the radius at this point. And perpendicular lines through a given point are unique.

That means, S**tatement A. "There are many tangent lines that contain point A" is wrong.**

- Diameter is the line drawn between two points of the circle that passes through the center, so statement B is correct.

- Chords are lines drawn between any two points of the circle, so statement C is also correct.
- Radius is the distance from the center of the circle to its boundary, So statement D is also correct.