21y=1 does cut the line joining the intercepts of both the lines.
You can simply apply mid pt. theorem.
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!
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5 Answers
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
21
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}