Find
the
perpendiculas distance
of the
point
(2, 3)
from
the
line
2x-y-320,
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Find the distance of the point (2,3) form the line 2x−3y+9=0 measurement along a line x−y+1=0.
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2x−3y+9=0 ……..(i),
x−y+1=0 ………(ii)
Multiply equation (ii) by 2 and subtract it from equation (1)
2x−3y+9=0
2x−2y+2=0
_____________
−y+7=0
_____________
y=7,x=6
Point of intersection (6,7)
Distance between (2,3) and (6,7)=
(6−2)
2
+(7−3)
2
=4
2
units
∴ Distance of the point (2,3) from the line 2x−3y+9=0 measured along line x−y+1=0 is 4
2
units.
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