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A Line Perpendicular to the Line Segment Joining the Points (1, 0) and (2, 3) Divides It in the Ratio 1:N. Find the Equation of the Line. - Mathematics

A line perpendicular to the line segment joining the points (1, 0) and (2, 3) divides it in the ratio 1:n. Find the equation of the line.

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Solution

According to the section formula, the coordinates of the point that divides the line segment joining the points (1, 0) and (2, 3) in the ratio 1: n is given by

We know that two non-vertical lines are perpendicular to each other if and only if their slopes are negative reciprocals of each other.

Therefore, slope of the line that is perpendicular to the line joining the points (1, 0) and (2, 3)

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APPEARS IN

NCERT Class 11 Mathematics Textbook
Chapter 10 Straight Lines
Q 11 | Page 220
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