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Unattributed TMUA Mock Set A Paper 1 · Q13

Paper 1GeometryAlgebra

The tangent to the curve y=2xx−1y=\dfrac{2x}{x-1} at the point P(2,4)P(2,4) is parallel to the line ll, and the distance between them is 252\sqrt5. Then the equation of the line ll is

A2x+y+2=02x+y+2=0
B2x+y+2=0 or 2x+y−18=02x+y+2=0\text{ or }2x+y-18=0
C2x−y−18=02x-y-18=0
D2x−y+2=0 or 2x−y−18=02x-y+2=0\text{ or }2x-y-18=0

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