Mathematics · Class 11
Conic Sections
Learn Conic Sections with notes, examples, and practice questions.
2 sections15–25 min read6 MCQs · 2 examples
Chapter Overview
Conics — circle, parabola, ellipse, hyperbola — are curves from slicing a cone. Each has standard equation, focus, directrix, and eccentricity.
Standard Equations
Circle
(x−h)²+(y−k)²=r²
Parabola
y²=4ax (opens right); focus (a,0)
Ellipse
x²/a²+y²/b²=1; foci on major axis
Hyperbola
x²/a²−y²/b²=1
Eccentricity
e: circle e=0; ellipse e<1; parabola e=1; hyperbola e>1
Solved Examples
Step-by-step solutions — read each step before checking the final answer.
Circle centre radius
Centre (2,−1), r=3.
- 1(x−2)²+(y+1)²=9
Answer
(x−2)²+(y+1)²=9
Parabola focus
y²=8x.
- 14a=8, a=2
- 2Focus (2,0)
Answer
(2, 0)
Key Points to Remember
- ✓ Latus rectum formulas per conic
- ✓ Auxiliary circle for ellipse
- ✓ Asymptotes for hyperbola
Exam Tips
- • Identify conic from standard form
- • Draw diagram with focus and directrix
Practice MCQs — Conic Sections
Test your understanding with topic-wise multiple choice questions. Explanations appear after each answer.
Question 1 of 6Score: 0/0
Parabola eccentricity: