10
algebraSolve:
A
B
C
No solution
D
All real numbers
Correct Answer: A
Choice A is the correct answer. Geometric interpretation.
- Concept: Sum of distances from 5 and -5 is .
- Distance between foci: Distance between 5 and -5 is 10.
- Logic: The sum of distances to endpoints of a segment is equal to the length of the segment ONLY for points ON the segment. For points outside, the sum is .
- Result: The segment .
?�� Strategic Tip: is true for all between and .
Choice B is incorrect because it is only one point. Choice C is incorrect.Choice D is incorrect.