Co-ordinate Geometry

Subject: Optional Mathematics

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Lesson Info

  • Notes 2
  • Videos 6
  • Exercises 73
  • Practice Test 30
  • Skill Level Medium

Overview

After completion of this chapter, students will be able to:

  • know about the angles between two lines, pair of straight lines and circle.
  • solve the questions of angles between two lines.
  • solve the questions of pair of straight lines.
  • solve the theorems and questions of circle.

Notes

Angle between two lines

The angle between two lines

Angle between the lines y = m1 + c1 and y = m2 + c2 and y = m2x + c2

Condition of perpendicularity

m1m2 = -1

 

Condition of Parallelism

m1 = m2

Angle between the lines A1x + B1y + C1 = 0 and A2x + B2y +C2 = 0

Condition of perpendicularity

A1A2 + B1B2 = 0

Condition of Parallelism

A1B2 = A2B1

Equation of any line parallel to ax + by + c = 0

k = -bc

Equation of any line perpendicular to ax +by +c = 0

k = ac

 

 

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Pairs of straight lines

General equation of the second degree :

 ax2 + 2hxy + by2 + 2gx + 2fy + c = 0.

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