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" 27.Prove that the curves "xy=4" and "x...

" 27.Prove that the curves "xy=4" and "x^(2)+y^(2)=8" touch each other."

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Prove that the curves x y=4 and x^2+y^2=8 touch each other.

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Prove that the curves y^(2)=4x and x^(2)+y^(2)-6x+1=0 touch each other at the point (1, 2).

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Show that the curves x y=a^2 and x^2+y^2=2a^2 touch each other.

Prove that the curve y^(2)=4x and x^(2)+y^(2)-6x+1=0 touches each other at thepoint (1,2), find the equation of the common tangents.

Prove that the curve x^(2)+y^(2)=1 and y^(2)=4(x-1) touches each other.