MathDB

JBMO 2012 Problem 2

Source: JBMO 2012

June 27, 2012

geometryJBMO

Problem Statement

Let the circles

k_1

and

k_2

intersect at two points

A

and

B

, and let

t

be a common tangent of

k_1

and

k_2

that touches

k_1

and

k_2

at

M

and

N

respectively. If

t\perp AM

and

MN=2AM

, evaluate the angle

NMB

.

Back to Problems View on AoPS