Asked by Anonymous

find orthogonal trajectory of family of circles x^2+y^2+2fy+1=0.
Answered by Steve
You have

x^2 + (y+f)^2 = f^2-1

These are circles with center at (0,-f). Clearly the radii of these circles are orthogonal to the curves, and that is the family of lines that pass through (0,-f):

y+f = mx
Answered by Anonymous
X^2+y^2-cx-100
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x2+2y2=c2
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x2+y2-c1y=c
Answered by Yamini
Answer for this problem
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Orthogonal trajectory of x^2+y^2+2fy+1=0 please give me answer
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Give me answer
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