Show that the ina x- y+2=0 and the wine jolning the
points (4,6) and (10, 12)are parallel to each other
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ANSWER
Consider the given points.
A(0,5) and B(4,2)
Slope of AB=m
1
=
4−0
2−5
=
4
−3
Consider the given other points.
C(−1,−2) and D(5,b)
Slope of CD=m
2
=
5+1
b+2
=
6
b+2
Since, both lines are perpendicular to each other so,
m
1
.m
2
=−1
Therefore,
4
−3
×
6
b+2
=−1
4
1
×
2
b+2
=1
b+2=8
b=6
Hence, this is the answer.
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