<Qua-2025-789>, hint

Consider a rectangle ABCD , A(0,2), B(0,0), C(4,0), D(4,2)

CM: y=-(1/4)x+1, BN: y=-(2/3)x+2, Then Q(12/5, 2/5)

Slope of AQ ; (2-2/5)/(4-12/5)=1 Hence AQ is the angle bisector of <A (=90)

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