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Find the Equation of the Right Bisector of the Line Segment Joining the Points (3, 4) and (–1, 2). - CBSE (Arts) Class 11 - Mathematics

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Question

Find the equation of the right bisector of the line segment joining the points (3, 4) and (1, 2).

Solution

The right bisector of a line segment bisects the line segment at 90°.

The end-points of the line segment are given as A (3, 4) and B (–1, 2).

The equation of the line passing through (1, 3) and having a slope of –2 is

(y – 3) = –2 (x – 1)

y – 3 = –2x + 2

2x + y = 5

Thus, the required equation of the line is 2x + y = 5.

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Solution Find the Equation of the Right Bisector of the Line Segment Joining the Points (3, 4) and (–1, 2). Concept: General Equation of a Line.
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