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Find the Image of the Point (3, 8) with Respect to the Line X + 3y = 7 Assuming the Line to Be a Plane Mirror. - Mathematics

Find the image of the point (3, 8) with respect to the line x + 3y = 7 assuming the line to be a plane mirror.

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Solution

The equation of the given line is

x + 3y = 7 … (1)

Let point B (ab) 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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APPEARS IN

NCERT Class 11 Mathematics Textbook
Chapter 10 Straight Lines
Q 18 | Page 234
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