Cartesian System of Coordinates
Telangana Open School (TOSS) · Class 12 · Mathematics
All formulas from Cartesian System of Coordinates in Telangana Open School (TOSS) Class 12 Mathematics. Key equations, constants, and identities for board exam preparation.
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Formulas
Distance Formula
PQ = √[(x₂ - x₁)² + (y₂ - y₁)²]
OP = √(x² + y²)
Section Formula
((m₁x₂ + m₂x₁)/(m₁ + m₂), (m₁y₂ + m₂y₁)/(m₁ + m₂))
((m₁x₂ - m₂x₁)/(m₁ - m₂), (m₁y₂ - m₂y₁)/(m₁ - m₂))
((x₁ + x₂)/2, (y₁ + y₂)/2)
Area of Triangle
½ |x₁(y₂ - y₃) + x₂(y₃ - y₁) + x₃(y₁ - y₂)|
½ |Determinant of [[x₁,y₁,1],[x₂,y₂,1],[x₃,y₃,1]]|
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