Coordinate 82855

What is the ratio of the distance of the nearest and farthest point of the circle described by the equation x2+y2-16x-12y+75=0 from the origin of the coordinate system?

Correct answer:

w =  1:3

Step-by-step explanation:

x2+y216x12y+75=0  (xx0)2 + (yy0)2 = r2  (x  8)2 + (y  6)2 = 25  S=(8,6) r=25=5  w1=Sx2+Sy2=82+62=10  w2=w1r=105=5 w3=w1+r=10+5=15  w=w2:w3=5:15=1:30.3333=1:3



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