Find the 5

Find the equation of the circle with center at (1,20), which touches the line 8x+5y-19=0

Result

e = (Correct answer is: ) OK

Solution:

x0=1 y0=20  8x+5y−19=0  s=8⋅ x0+5⋅ y0−19=8⋅ 1+5⋅ 20−19=89 a=82+52=89≐9.434 r=sa=899.434=89≐9.434  (x−x0)2+(y−y0)2=r2 e:(x−1)2+(y−20)2=89

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Dr Math
Hint - use formula for Distance Between a Point and a Line = which is radius of circle

2 years ago  2 Likes
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