May 2013
Intermediate to advanced
748 pages
14h 14m
English
Content preview from Analytical Geometry
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Chapter 3
Pair of Straight Lines
3.1 INTRODUCTION
We know that every linear equation in x and y represents a straight line. That is Ax + By + C = 0, where A, B and C are constants, represents a straight line. Consider two straight lines represented by the following equations:
Also consider the equation
If (x1, y1) is a point on the straight line given by (3.1) then
l1x1 + m1y + n1 = 0
This shows that (x1, y1) is also a point on the locus of (3.3). Therefore, every point on the line given by (3.1) is also a point on the locus of (3.3). Similarly, ...
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