Question 1110494: what is the largest nunber A such that the graphs of :
x^2 = y^2 and (x-A)^2 +y^2 =1 intersect?
Answer by Alan3354(69443) (Show Source):
You can put this solution on YOUR website! what is the largest nunber A such that the graphs of :
x^2 = y^2 and (x-A)^2 +y^2 =1 intersect?
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x^2 = y^2 is a degenerate (I think that's the right term) hyperbola. It's 2 straight lines with slopes of -1 and +1 thru the Origin.
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(x-A)^2 +y^2 = 1 is a circle of radius 1, center at (A,0) - on the x-axis.
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find the 2 tangent points, then find A.
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email via the TY note for help, or to check you work.
PS Graphing is helpful.
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