Maths Spl

Those who are preparing for any competive exam such as JEE Main, NDA and others really need to memorise formulas. Check the important formulas below;  

Circle

• Standard equation (center at origin): $x^2+y^2=r^2$
  $x^2 + y^2 = r^2$

• General form: $x^2 + y^2 + 2gx + 2fy + c = 0$

• Center = (–g, –f), Radius = ?(g² + f² – c)

 Parabola: 

• Standard form (horizontal axis): $y^2=4ax$
  $y^2 = 4ax$

• Standard form (vertical axis): $x^2=4ay$
  $x^2 = 4ay$

• Vertex: (0, 0)

• Focus: (a, 0) or (0, a)

• Directrix: x = –a or y = –a

• Latus rectum = 4a

Ellipse: Check all the important topics related to this topic below;

• Standard form (major axis along x-axis): 

  • $\frac{x^2}{a^2} + \frac{y^2}{b^2} = 1$ where a > b

  • Eccentricity: $e=\sqrt{1?\frac{b^2}{a^2}}$
    $e = \sqrt{1 - \frac{b^2}{a^2}}$

• Foci: (±ae, 0)

• Latus rectum: $\frac{2b^2}{a}$

$$Hyperbola: Students can check important formulae related to this topic below;

• Standard form (transverse axis along x-axis):
  $\frac{x^2}{a^2} - \frac{y^2}{b^2} = 1$

• Eccentricity:
  $e = \sqrt{1 + \frac{b^2}{a^2}}$

• Foci: (±ae, 0)

• Latus rectum: $\frac{2b^2}{a}$

• Asymptotes:
  $y=\pm \frac{b}{a}x$

There are various topics discussed in the class 11 Maths Conic Section chapter, read below;

• Definition of Conic Sections

• Circle – Standard and general equations

• Parabola – Focus, directrix, latus rectum, standard forms

• Ellipse – Major/minor axes, foci, eccentricity

• Hyperbola – Transverse/conjugate axes, asymptotes, standard form

• Latus Rectum – For all conics

• Eccentricity – For circle, parabola, ellipse, hyperbola

• General Equation of Conics – Classification using second-degree equations

• Graphical Representation & Examples

Students can use our NCERT Solutions for Conic Sections, to revise these topics and master these topics for board and competitive exams.

NCERT Solutions for Chapter 9 Straight Lines are expert-prepared explainations to all textbook questions. These Solutions are designed to help Class 11 students understand concepts like slope, line equations, angles between lines, and more. These solutions simplify complex problems through step-by-step explanations, making it easier to grasp coordinate geometry. Perfect for exam preparation, they follow the latest CBSE syllabus and are useful for both board exams and competitive exams like JEE. Whether you're revising or stuck on a tricky question, these solutions offer clear guidance. They're also available in free downloadable PDF format, so you can study offline anytime.