Maths Spl

If you have studied both Math and Biology, the Electronics and Communication Engineering (ECE) programme at LPU can be a great choice, especially if you are interested in exploring the intersection of technology and innovation. LPU's ECE programme is designed to build a strong foundation in electronics, communication systems, and programming, while also offering flexibility through electives and interdisciplinary learning. Your background in Math will help you grasp core engineering concepts, while your knowledge of Biology can open up opportunities in emerging fields like biomedical engineering, healthcare technology, and bioelectronics. With strong industry tie-ups, modern labs, and a focus on practical skills, LPU equips students to pursue careers in diverse sectors including electronics, IT, automation, and even biotech-related industries.

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.