The line joining the points (2,-1) and (5, -6) is bisected at p. If pl

1.	The line joining the points (2,-1) and (5, -6) is bisected at p. If plies on line 2x +4y +k 0, find the value of k.
Answer» p bisected the line joining the points(2,-1) and (5,-6).Therefore the coordinate of the mid-point p of the join of the points (2,-1) and (5,-6) is =[{(2+5)/2 },{(-1–6)/2}] =(7/2,-7/2) As p (7/2,-7/2) lies on the line 2x+4y+k=0 = 27/2+ 4(-7/2) +k=0 =7 -14+k=0 =k=7

The line joining the points (2,-1) and (5, -6) is bisected at p. If plies on line 2x +4y +k 0, find the value of k.

Answer»

p bisected the line joining the points(2,-1) and (5,-6).Therefore the coordinate of the mid-point p of the join of the points (2,-1) and (5,-6) is

=[{(2+5)/2 },{(-1–6)/2}]

=(7/2,-7/2)

As p (7/2,-7/2) lies on the line 2x+4y+k=0

= 2*7/2+ 4*(-7/2) +k=0

=7 -14+k=0

=k=7