The equation of the straight line which bisects the intercepts made by the axes on the lines x+y=2 and 2x+3y=6 is :
I'm getting answer:4x+5y=10.
Answer is y=1.
Please explain how you solved it!
1I think graphical way wud be the best.
y=1 cuts the intercepts of two lines on x and y axes equally!
262i think u r right vatz . there must be some mistake in the given answer
21y=1 does cut the line joining the intercepts of both the lines.
You can simply apply mid pt. theorem.
1y=1 is correct.
the iline L1 intersects the axes at (0,2) and (2,0) so the mid-point = (1,1)
and the line L2: intersects the axes at (0,2) and (3,0) so the mid-point is (\frac{3}{2},1)
.:. the line passing through both the mid-points is \boxed{y=1}