MathDB

Let

\triangle ABC

be triangle with incenter

I

and circumcircle

\Gamma

. Let

M=BI\cap \Gamma

and

N=CI\cap \Gamma

, the line parallel to

MN

through

I

cuts

AB

AC

P

and

Q

. Prove that the circumradius of

\odot (BNP)

and

\odot (CMQ)

are equal.

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