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tmua.me Medium Set F Paper 1 · Q6

Paper 1GeometryAlgebra

A circle passes through O=(0,0)O=(0,0) and P=(4,2)P=(4,2). Its centre lies on the line y=2xy=2x.

The circle meets the xx-axis again at QQ. What is the equation of the tangent to the circle at QQ?

Ay=2x−5y=2x-5
By=−2x+5y=-2x+5
Cy=−12x+54y=-\dfrac12x+\dfrac54
Dy=12x−52y=\dfrac12x-\dfrac52
Ey=12x−54y=\dfrac12x-\dfrac54

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