6. Does the line 3x - 5y = 6 bisect the join of
(5,-2) and (-1, 2) ?
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The given line will bisect the join of A (5,-2) and B (-1, 2), if the co-ordinates of the mid point of AB satisfy the equation of the line. The co-ordinates of the mid-point of AB are
5 – 1
2
-2+ 2
=
(2,0)
Substituting x = 2 and y = 0 in the given
equation, we have:
L.H.S. = 3x - 5y =
= 3(2) - 5(0) =
= 6-0
= 6 = R.H.S.
Hence, the line 3x - 5y = 6 bisect the join of =
(5,-2) and (-1, 2).
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