SOLUTION: Point P (-4,a) and point (4,b) are both 5 units away from the origin. What's the maximum possible length for segment PQ? This is a multiple choice problem. a)7 b)8 c)9 d)10

Question 886102: Point P (-4,a) and point (4,b) are both 5 units away from the origin. What's the maximum possible length for segment PQ? This is a multiple choice problem.
a)7
b)8
c)9
d)10
e)11
Answer by josgarithmetic(39620) (Show Source): You can put this solution on YOUR website!
The two given points are on the circle . You can find a or b and use some sense of knowing where the points are on the circle to decide where the maximum length of PQ would show. a and b are the two y-coordinates.

, TWO DIFFERENT VALUES.
You should be able to finish this.

Note that the four points will form a rectangle, and what YOU want is the coordinates of either or both DIAGONALs. (Use the Distance Formula to find the diagonal length.)
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