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Nusret Balcı TMUA Paper 1 · Q11

Paper 1GeometryAlgebra

A family of circles is defined such that their centers lie on the line y=2xy=2x. Every circle in the family is tangent to the line y=xy=x.

The union of all such circles forms a region RR in the xyxy-plane bounded by two straight lines intersecting at the origin. One boundary is the line y=xy=x. Find the equation of the other boundary line. Diagram for question 11

Ay=3xy=3x
By=4xy=4x
Cy=5xy=5x
Dy=6xy=6x
Ey=7xy=7x
Fy=8xy=8x
Gy=9xy=9x
Hy=11xy=11x

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