🔥Relation Between Slopes of Parallel and Perpendicular Lines | 🔥Coordinate Geometry

📐 Relation Between Slopes of Parallel and Perpendicular Lines – Complete Explanation
Understanding the relationship between the slopes of two lines is one of the most important concepts in Coordinate Geometry. By comparing slopes, we can determine whether two lines are parallel, perpendicular, or neither.
Topics Covered:
✅ Concept of Slope (Gradient)
✅ Relation Between Slopes of Parallel Lines
✅ Relation Between Slopes of Perpendicular Lines
✅ Geometric Meaning of Slope
✅ Solved Examples and Short Tricks
✅ Exam-Oriented Questions
✅ Common Mistakes to Avoid
Important Results:
For Parallel Lines: �
Two lines are parallel if their slopes are equal.
For Perpendicular Lines: �
Two lines are perpendicular if the product of their slopes is −1.
This concept is frequently asked in Class 10, Class 11, Class 12 Mathematics, as well as competitive exams such as SSC, NDA, CDS, Banking, Railway, CUET, and other entrance examinations.
🎯 Learn these simple slope relations and solve coordinate geometry questions in seconds!
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