Answer:
Option B.
Step-by-step explanation:
Option A. "The line constructed through point P that is parallel to line B."
Since parallel lines never intersect each other, a line intersecting line AB at point P will not be parallel.
Therefore, Option (A) is incorrect.
Option (B). "The line constructed through point P that is perpendicular to line AB."
Since the angle between line AB and a line constructed through point P has been given as 90°, line through point P will be perpendicular to AB.
Therefore, Option (B) is the answer.
Option C. "The line constructed through point P that intersects line AB at two different points."
Since, two perpendicular lines intersect each other at only one point, the line constructed from point P will not intersect line AB at two different points.
Therefore, Option C is not correct.