Line segment FG is not tangent to circle E.
What is Tangent:
The tangent is defined as a line touching circles or an ellipse at only one point. Suppose a line touches the curve at P, then the point “P” is called the point of tangency. In other words, it is defined as the line which represents the slope of a curve at that point.
What is Line Segment:
A line segment has two definite endpoints in a line. The length of the line segment is fixed, which is the distance between two fixed points. The length here can be measured by metric units such as centimeters (cm), millimeters (mm) or by conventional units like feet or inches.
Now, According to the problem
The tangent line to a circle makes an angle of 90 degrees with the radius.
If |FG| is tangent to circle E.
then,
30^2 = 26^2 + 17^2
which is not true.
Therefore, line segment FG is not tangent to circle E.
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