NCERT Class 11 Mathematics Solutions: Chapter 10 –Straight Lines Miscellaneous Exercise 10 Part 3
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Distance between Point and Line
1. What are the points on the y-axis whose distance from the line is units.
Answer:
Consider be the point on the y-axis whose distance from line is 4 units.
The given line can be written as
………………….… eq (1)
On comparing equation (1) to the general equation of line ,
.
It is known that the perpendicular distance (d) of a line from a point = is given by
So, if (0, b) is the point on the y-axis whose distance from line is 4 units, then:
So, the required points are
2. Find the perpendicular distance from the origin to the line joining the points
Answer:
The equation of the line joining the points is given by
It is known that the perpendicular distance (d) of a line from a point is given by
So, the perpendicular distance (d) of the given line from point is