Home
Class 11
MATHS
The equation of perpendicular bisector o...

The equation of perpendicular bisector of the line segment joining the point (1,2) and (-2,0) is:

Text Solution

Verified by Experts

Let `AB` is the line segment joining the point `(1,2) and (-2,0)`
and `C` is the midpoint og `AB`.
The, coordinates of `C` will be `(-1/2,1)`.
Slope of `AB, m_(AB) = (0-2)/(-2-1) = 2/3`
Now, let `CL` is the perpendicular bisector of `AB`. Then,
`m_(CL)**m_(AB) = -1` (Here, `m_(CL)` is slope of `CL`)
`m_(CL)**2/3 = -1=> m_(CL) = -3/2`
Now, we know the slope and coordinates of point C. So, the equation will be,
`y-1 = -3/2(x+1/2) = > 4y-4 = -6x -3`
...
Promotional Banner

Similar Questions

Explore conceptually related problems

The equation of perpendicular bisector of the line segment joining the points (1, 2) and (–2, 0) is

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

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

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

Find the equation of the perpendicular bisector of the line segment joining the points (1,0) and (3,5) .

Find the equation of the perpendicular bisector of the line segment joining the points (1,0) and (3,5) .

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

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

Find the equation of the perpendicular bisector of the line segment joining the points (7, 4) and (-1, -2).

Find the equation of perpendicular bisector of the line segment joining the points A(2,3) and B(6,-5)