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[" EXAMPLE "14" If the line "lx+my=1" is...

[" EXAMPLE "14" If the line "lx+my=1" is a tangent to the circle "x^(2)+y^(2)=a^(2)" ,then prove that "(1,m)" lies on a "],[" circle."]

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If the line lx + my = 1 is a tangent to the circle x^(2) + y^(2) = a^(2) , then the point (l,m) lies on a circle.

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