iran-konkur 2021 Q145

iran-konkur · Other · konkur-riazi_1400_specialized Not Maths
145. Which statement is correct?
(1) The set of points in space that are equidistant from two parallel lines lies in a finite number of planes.
(2) The set of points in space that are equidistant from two parallel lines lies on the perpendicular plane to both of them.
(3) The set of points in space that are equidistant from a point and a line that does not pass through that point lies on a parabolic surface.
(4) The set of points in space such that the distance from each point to two fixed points in space is equal lies on a circle.
\textbf{145.} Which statement is correct?

(1) The set of points in space that are equidistant from two parallel lines lies in a finite number of planes.

(2) The set of points in space that are equidistant from two parallel lines lies on the perpendicular plane to both of them.

(3) The set of points in space that are equidistant from a point and a line that does not pass through that point lies on a parabolic surface.

(4) The set of points in space such that the distance from each point to two fixed points in space is equal lies on a circle.

\bigskip