MathDB

length of NM depends on position of C? (HOMC 2017 Q12)

Source:

August 3, 2019

fixedgeometrySegment

Problem Statement

Let

(O)

denote a circle with a chord

AB

, and let

W

be the midpoint of the minor arc

AB

. Let

C

stand for an arbitrary point on the major arc

AB

. The tangent to the circle

(O)

at

C

meets the tangents at

A

and

B

at points

X

and

Y

, respectively. The lines

W X

and

W Y

meet

AB

at points

N

and

M

, respectively. Does the length of segment

NM

depend on position of

C

?

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