Chapter 11: Conic Sections

Key Formulas:
• Circle: (x-h)² + (y-k)² = r²
• Parabola: y² = 4ax, Focus (a,0)
• Ellipse: x²/a² + y²/b² = 1
• Hyperbola: x²/a² - y²/b² = 1

Q1. Find the equation of circle with centre (2, -3) and radius 5.

Solution

(x - 2)² + (y + 3)² = 25

Q2. Find the focus of y² = 12x.

Solution

4a = 12 ⇒ a = 3
Focus: (3, 0)