Find the image of the point (3, 8) with respect to the line x + 3y = 7 assuming the line to be a plane mirror.
The equation of the given line is
x + 3y = 7 … (1)
Let point B (a, b) be the image of point A (3, 8).
Accordingly, line (1) is the perpendicular bisector of AB.
On solving equations (2) and (3), we obtain a = –1 and b = –4.
Thus, the image of the given point with respect to the given line is (–1, –4).
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