Straight Lines · Angle bisectors of two lines

Let the line

L_1 : x + 3 = 0

intersect the lines

L_2 : x - y = 0

and

L_3 : 3x + y = 0

at the points

A

and

B

, respectively. Let the bisector of the obtuse angle between the lines

L_2

and

L_3

intersect the line

L_1

at the point

C

. Then

BC^2 : AC^2

is equal to:

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