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## 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
##### 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:

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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