i think u r right vatz . there must be some mistake in the given answer
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
Athenes Analyst
·2011-11-04 14:46:47
I think graphical way wud be the best.
y=1 cuts the intercepts of two lines on x and y axes equally!
Aditya Bhutra
·2011-11-04 23:31:04
Swaraj Dalmia
·2011-11-05 05:03:39
y=1 does cut the line joining the intercepts of both the lines.
You can simply apply mid pt. theorem.
rishabh
·2011-11-05 05:16:45
y=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}