Page 27 - 102math-wb-w3-(analytic geometry)_Neat

WORKBOOK

Ex: Find the coordinates of the point on the line d: x – 2y = 2 that has the shortest distance to the
point A(2, 5)

Note: The distance between the parallel lines ax + by + c 1 = 0 and ax + by + c 2 = 0 is
c c
d 1 2
a 2 b 2

Note: If two line intersect or they are coincident then the distance between them is 0.

Ex: Find the distance between the lines and If
i) : −+= : −+= ii) : + += :
++=
iii) : 2−3+5= : 4−6+20=

Ex: If the distance of A(3,1) to : 4x +(k-1) y -4 = 0 is 2, find the value of k .

Ex: If the distance between 2x-y +3 = 0 and 4x-2y +m-1 = 0 is 3 5 , find the value of m .

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102math-wb-w3-(Vector)