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What is the locus point equidistant from two points AB that are 8 cm apart?
The locus point is the perpendicular bisector of AB. The locus point is the perpendicular bisector of AB.
What is the locus of all points in a plane two centimeters from point a?
That's a circle, centered at 'a', with a radius of 2 cm.
How many points in 1 cm?
Axiom from 1952: "A point has no magnitude". This implies an infinite number of points in any distance (or area or volume).
An object is placed 4 cm in front of a concave mirror with a focal point of 1 cm describe the image that is formed?
A concave lens will appear!
How many points are 4cm from a given line and 4 cm from a point on that line?
There are an infinity of points 4cm from a given line. These points form 2 lines parallel to and either side of the original line. Equally, there are an infinite number of points 4cm from a given point on the original line. These points lie on the circumference of a circle radius 4cm with its centre at the given point. There are only 2 points that fulfil both conditions. These points are found on the circumference of the circle where a diameter perpendicular to the original line and passing through the given point meets the circumference of the circle. These two points are also where the two parallel lines form tangents with the circle.
