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Question

Find the equation of the straight line which passes through (2,3) and the portion of the line intercepted between the axes is bisected at this point.

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Solution

Let PQ be the line passes through coordinate axis and P.
And is bisected at P by the axes, then
Using Given condition
2=a+o2 and 3=b+o2 [ from section formula]
[a=4] & [b=o]
Now equation of line passing through (2, 3) and (4, 0) as
y3=o343(x2)
y3=3(x2)
y+3x=9....(1)
Hence equation of line is y+3x=9

1188827_1366473_ans_ad76195cde7046e7846aa963b36eda94.PNG

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