Conic Sections Class 11 Maths Notes – Formulas & Quick Revision

Conic Sections mein circle, parabola, ellipse aur hyperbola ke standard equations aur properties aate hain. Yahan aapko is chapter ke sabse important formulas aur quick revision points free milte hain — NCERT/CBSE syllabus ke hisaab se, boards aur JEE/NEET dono ke liye.

Important Formulas & Concepts — Conic Sections

• Circle: (x−h)² + (y−k)² = r²
• General circle: x² + y² + 2gx + 2fy + c = 0; centre (−g,−f), r = √(g²+f²−c)
• Parabola y² = 4ax: focus (a,0), directrix x = −a, LR = 4a
• Ellipse x²/a² + y²/b² = 1: c² = a² − b², e = c/a < 1
• Ellipse LR = 2b²/a
• Hyperbola x²/a² − y²/b² = 1: c² = a² + b², e > 1
• Hyperbola LR = 2b²/a; asymptotes y = ±(b/a)x
• Eccentricity: circle 0, parabola 1, ellipse <1, hyperbola >1

Quick Revision Points

• Focus-directrix definition se saare conics derive hote hain
• Parabola ke 4 orientations ke standard results rato
• Ellipse mein a > b check karo (major axis kaunsa hai)
• Latus rectum ke through questions common hain
• Standard equation mein lane ke liye completing the square

FAQ

Chaaron conics ke formulas mix ho jate hain?

Complete PDF mein comparison table hai — focus, directrix, e, LR sab side-by-side.

Boards mein kya format hai?

Equation se elements nikalna ya elements se equation banana — 4-6 marks.

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