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Business Mathematics by Chirag Trivedi, Kashyap Trivedi

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16

Straight Lines

LEARNING OBJECTIVES

After studying this chapter, the student will be able to understand:

  • Concept of concurrent lines and its theorems
  • Perpendicular distance from the point to the line
  • Perpendicular distance between two parallel lines
  • Equation of bisector of angle between two lines
INTRODUCTION
CONCURRENT LINES

If more than two lines intersect in exactly one common point then they are said to be concurrent lines.

Theorem 1

The necessary and sufficient conditions for three distinct lines:

 

images

 

The conditions for three distinct lines to be concurrent are:

 

 

Theorem 2

If axx + bxy + Cj = 0; a2x + b2y + c2 = 0 (ai2 + bi2

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