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Find three specific points that are equidistant from F = (4,0) and the line y = x.

User Dinbrca
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Final answer:

To find three points that are equidistant from F(4,0) and the line y=x, we need to find points that are equidistant from F and lie on a line perpendicular to y=x.

Step-by-step explanation:

To find three specific points that are equidistant from the point F(4,0) and the line y=x, we need to find three points that are equidistant from F and lie on a line perpendicular to the line y=x.

Since the line y=x has a slope of 1, the perpendicular line will have a slope of -1.

We can choose any value for x and find the corresponding y-coordinate for three equidistant points. For example, if we choose x=5, the corresponding y-coordinate will be -1. So one point is (5,-1).

User Mehdi Lotfi
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