JEE Main Mathematics - Coordinate Geometry Complete Guide

Complete Coordinate Geometry guide for JEE Main:

1. STRAIGHT LINES

   • Slope and intercepts
   • Various forms of equation of line
   • Angle between two lines
   • Distance from point to line
   • Foot of perpendicular

2. CIRCLE

   • Standard and general form
   • Parametric equations
   • Tangent and normal
   • Chord properties
   • Pole and polar

3. PARABOLA

   • Standard parabola and its properties
   • Parametric form
   • Tangent and normal at any point
   • Chord of contact
   • Reflection property

4. ELLIPSE

   • Standard form and properties
   • Parametric equations
   • Tangent and normal
   • Focal chord properties
   • Eccentric angle

5. HYPERBOLA

   • Standard hyperbola
   • Asymptotes
   • Tangent and normal
   • Rectangular hyperbola

Important Formulas:

• Distance between two points: √[(x₂-x₁)² + (y₂-y₁)²]
• Section formula: ((mx₂+nx₁)/(m+n), (my₂+ny₁)/(m+n))
• Area of triangle: ½|x₁(y₂-y₃) + x₂(y₃-y₁) + x₃(y₁-y₂)|
• Equation of circle: (x-h)² + (y-k)² = r²
• General equation of conic: Ax² + 2Hxy + By² + 2Gx + 2Fy + C = 0

Solved Examples:

1. Find equation of circle passing through three points
2. Find equation of tangent to parabola
3. Find eccentricity of ellipse
4. Problems on locus

Practice Problems:

• 50+ solved examples
• 100+ practice questions
• Previous year JEE questions
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