1.

The distance of a point (2,3) from the line 2x -3y + 9 = 0 measured along a line x-y +1 =0 is :

Answer» Equation of line 1
x-y+1=0-(1)
Equation of line 2
2x-3y+4=0-(2)
Subtracting twice equation 1 with equation 2
y+2-9=0
y=7
x=6
Point B(6,7)
AB=`sqrt((x_1-x_2)^2+(y_1-y_2)^2)`
=`sqrt((6-2)^2+(7-3)^2`
=`4sqrt2` Units.


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