MathDB

The straight lines

k

and

\ell

intersect at right angles. A line intersects

k

A

and

\ell

B

. Consider all straight line segments

PQ

(

P

k

and

Q

\ell

), which makes an angle of

45^o

with

AB

. (a) Determine the locus of the midpoints of the line segments

PQ

, (b) If the perpendicular bisector of such a line segment

PQ

intersects the line

k

K

and the line

\ell

L

, then prove that

KL \ge PQ

.
[hide=original wording of second sentence]De loodrechte snijlijn van k en l snijdt k in A en t in B

Problem Statement