If x,y∈R satisfies (x+ 5)2 + (y-12)2 - (14)2, then the minimum value of x2+y2 is _______.
Let x+5=14cosθ and y−12=14sinθ∴x2+y2=(14cosθ−5)2+(14sinθ+12)2=196+25+144+28(12sinθ−5cosθ)=365+28(12sinθ−5cosθ)∴x2+y2min=365−28×13=365−364=1