Coordinate geometry Topics - IIT JEE Syllabus

1

2m1/10

📌 Key Formulax-coordinate (abscissa), y-coordinate (ordinate), origin (0,0).

2

2m1/10

📌 Key FormulaDistance between (x₁, y₁) and (x₂, y₂) = √[(x₂ - x₁)² + (y₂ - y₁)²]

3

2m2/10

📌 Key FormulaInternal division: ( (mx₂ + nx₁)/(m+n), (my₂ + ny₁)/(m+n) ), External division: ( (mx₂ - nx₁)/(m-n), (my₂ - ny₁)/(m-n) )

4

2m3/10

📌 Key FormulaSet of points satisfying given conditions, expressed as equation in x and y.

5

2m2/10

📌 Key FormulaIf origin shifted to (h, k), then X = x - h, Y = y - k

6

2m1/10

📌 Key Formulam = (y₂ - y₁)/(x₂ - x₁) = tan θ (θ inclination with +x axis)

7

2m1/10

📌 Key FormulaParallel: m₁ = m₂, Perpendicular: m₁ m₂ = -1

8

2m1/10

📌 Key Formulax-intercept (a) and y-intercept (b) of line: x/a + y/b = 1