Home
Class 12
MATHS
Find the equation of the right bisector ...

Find the equation of the right bisector of the line segment joining the points `(3, 4)` and `( -1.2).`

Text Solution

Verified by Experts

The right bisector of a line segment bisects the line segment at `90^(@)`.
The endpoints of the line segment are given as A(3,4) and B(-1,2).
Accordingly, the midpoint of AB is
`((3-1)/(2), (4+2)/(2)) -= (1,3)`
`"Slope of AB" = (2-4)/(-1-3) = (-2)/(-4) = (1)/(2)`
`therefore "Slope of the line perpendicular to AB" = -(1)/((1//2)) =-2`
The equation of the line passing through (1,3) and having a slope of -2 is.
(y-3) = -2(x-1)
or 2x+y=5
Promotional Banner

Similar Questions

Explore conceptually related problems

Find the equation of the right bisector of the line segment joining the points (3,40 and (-1,2).

Find the equation of the right-bisector of the line segment joining the points (1, 0) and (2, 3).

Equation of the right bisector of the line segment joining the points (7,4) and (-1,-2) is

Find the equation of the right bisector of the line segment joining eth points A(1,0) and B(2,3)

Find the equation of the right bisector of the line segment joining eth points A(1,0)a n d\ B(2,3)

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 right bisector of the line segment joining the points (a , b)a n d\ (a_1, b_1)dot

Find the equation of the right bisector of the line segment joining the points (a,b) and (a_(1),b_(1))