Question

The points P(3,p) and Q(q,5) represent the same point R. What are the respective values of p and q?​

Answer 1

Answer:

In that case, there would be 0 points that are the same distance form all three. As mentioned in the answer explanation on page 543 of the Revised GRE OG 2nd edition, is *two* points lie on the same line, any equidistant points equidistant to those two points would have to lie on a line that bisects the two points perpendicularly. In fact, all points on the bisecting line would be equidistant from the two points.

As a result, if R, P, and Q were on the same line, there could be an infinite number of equidistant points for any *two* of R, P, and Q, but not for all three. This is because you can only make one bisecting perpendicular line that is halfway between two points on the The perpendicular bisecting lines between RP, RQ, and QP would all be perpendicular to the same line. So they would all be parallel and never intersect. With on intersection point for these lines, no equidistant points would ever meet for R, Q, and P.

Answer 2

Answer:

5&3

Step-by-step explanation:

P(3,p) = Q(q,5)

so p = 5 and q = 3

I'm not sure