CBSE · Class 6-12

Class 11 · Mathematics (041)

Unit 10 · Class 11Mathematics (041)

Coordinate Geometry

Conic Sections

Circle, parabola, ellipse, hyperbola — standard forms and key properties.

Lessons

4 concepts

1
Circle
$(x - h)^2 + (y - k)^2 = r^2$ .
2
Parabola
$y^2 = 4ax$ : focus $(a, 0)$ , directrix $x = -a$ .
3
Ellipse
$\dfrac{x^2}{a^2} + \dfrac{y^2}{b^2} = 1$ : foci $(\pm c, 0)$ where $c^2 = a^2 - b^2$ ; eccentricity $e = c/a < 1$ .
4
Hyperbola
$\dfrac{x^2}{a^2} - \dfrac{y^2}{b^2} = 1$ : foci $(\pm c, 0)$ where $c^2 = a^2 + b^2$ ; asymptotes $y = \pm \tfrac{b}{a} x$ .

Skills to practise

Skill · medium

Conic Sections — Practice (coming soon)

Practice bank for this unit is in progress. You can still read the lessons above.