Conic Sections
Telangana Open School (TOSS) · Class 12 · Mathematics
All formulas from Conic Sections in Telangana Open School (TOSS) Class 12 Mathematics. Key equations, constants, and identities for board exam preparation.
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Formulas
Parabola
y² = 4ax
y² = -4ax
x² = 4ay
x² = -4ay
SP = PM
Ellipse
x²/a² + y²/b² = 1 (a > b)
x²/b² + y²/a² = 1 (a > b)
e = √(1 - b²/a²)
Length of latus rectum = 2b²/a
Foci = (±ae, 0) or (0, ±ae)
Tangents and Normals
yy₁ = 2a(x + x₁) for y² = 4ax
(xx₁)/a² + (yy₁)/b² = 1
y - y₁ = (-y₁/(2a))(x - x₁)
(a²x)/x₁ - (b²y)/y₁ = a² - b²
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