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Q: Which of these can be used to show smaller points that are related to larger points?
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How can you prove that the line between to points is a tangent of the smaller circle?

Step I: Show that both points are outside the smaller circles. Possibly by showing that distance from each point to the centre of the circle is greater than its radius. Step 2: Show that the line between the two points touches the circle at exactly one point. This would be by simultaneous solution of the equations of the line and the circle.


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Yes, but a scale can also be used to show a smaller distance by using a bigger distance (i.e. the opposite of the above). For example, imagine we were drawing a representation of something really small like the structure of an atom. If we wanted to draw this accurately we would have to use a scale which uses a larger distance to represent a smaller one.


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