📘✨ ANGLE OF INCLINATION OF A LINE ✨📘
Автор: ICAN MATHS
Загружено: 2025-09-17
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📘✨ ANGLE OF INCLINATION OF A LINE ✨📘
Do you know? 🤔 Every line in coordinate geometry makes an angle with the positive direction of the x-axis. This is called the Angle of Inclination. 📐
🧠 Concept:
The angle of inclination (θ) is measured anticlockwise from the positive x-axis.
θ is always between 0° and 180°.
👉 Relation with slope:
If slope of the line is m, then
m = tan θ
📍 Examples:
A line parallel to x-axis → θ = 0° → slope = 0 ✅
A line parallel to y-axis → θ = 90° → slope = undefined 🚫
A line making θ = 45° → slope = tan 45° = 1 ✅
A line making θ = 135° → slope = tan 135° = -1 ✅
💡 Quick Tip:
Positive slope ↗ → line goes upward
Negative slope ↘ → line goes downward
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