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Formula Sheet

Conic Sections — Formula Sheet

CUSAT CAT · Mathematics

Free Conic Sections formula sheet for CUSAT CAT Mathematics 2026 — all important formulas, equations, and constants for quick reference.

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A 3D diagram illustrating how different conic sections (circle, ellipse, parabola, hyperbola) are formed by the intersection of a plane with a double-napped right circular cone at various angles.
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Formula Sheet — Conic Sections

Important formulas and equations from Conic Sections for CUSAT CAT Mathematics.

Formulas — Conic Sections

General Conic Definition

e = distance from point to focus / distance from point to directrix

Circle

(x-h)² + (y-k)² = r²
x² + y² + 2gx + 2fy + c = 0
(x-x₁)(x-x₂) + (y-y₁)(y-y₂) = 0

Parabola

y² = 4ax
y² = -4ax
x² = 4ay
x² = -4ay

Ellipse

x²/a² + y²/b² = 1 (a > b)
x²/a² + y²/b² = 1 (a < b)
e = √(1 - b²/a²) for a > b
e = √(1 - a²/b²) for a < b

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Frequently Asked Questions

What topics are covered in Conic Sections for CUSAT CAT?
Conic Sections is an important chapter in CUSAT CAT Mathematics. It covers key concepts and formulas that are frequently tested in the exam. Key topics include: Introduction to Conic Sections, Circle, Parabola, Ellipse.
How important is Conic Sections for CUSAT CAT?
Conic Sections is a frequently tested chapter in CUSAT CAT Mathematics. Questions from this chapter appear regularly in previous year papers. There are 820 practice questions available for this chapter.
How to prepare Conic Sections for CUSAT CAT?
Start by understanding the core concepts, then solve practice questions. Focus on formulas and their applications. Use revision notes for quick review before the exam.

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