AIkiPadhai 🧠

📐 Coordinate Geometry

Straight lines — slope, equations, distance aur section formula. Geometry ko algebra se samjho!

📝 5 Marks | 15 Periods

Topic 1

📏 Slope aur Inclination

Line ka slope uski steepness batata hai. Inclination angle se slope nikalta hai!

Slope m = tan θ = (y₂−y₁)/(x₂−x₁)
Parallel lines: m₁=m₂
Perpendicular: m₁×m₂=−1

Topic 2

📝 Line ke Equations

Ek line ko multiple tarike se represent kar sakte hain — slope-intercept, point-slope, intercept form!

y = mx + c (slope-intercept)
y−y₁ = m(x−x₁) (point-slope)
x/a + y/b = 1 (intercept form)
ax + by + c = 0 (general form)

Topic 3

📍 Distance aur Section Formula

Do points ke beech distance nikalna aur line segment ko kisi ratio mein divide karna!

Distance = √[(x₂−x₁)²+(y₂−y₁)²]
Section formula (internal/external)
Midpoint formula
Point to line distance

Interactive Lab

🔬 Coordinate Geometry Lab

Drag points on canvas — slope updates live, line equation changes, section formula divides visually!

Drag-point slope explorer
Line equation forms visualizer
Section formula ratio divider