Home
Learn
Plan & Focus
Community
Pricing
Play & Compete
Free Resources

Log in Join Free

by JEE Master

Ask. Share. Learn. Grow Together. India's all-in-one community for JEE Main & JEE Advanced aspirants.

Explore

Learn
Plan & Focus
Community
Play & Compete
Free Resources

Resources

JEE Main PYQs
JEE Advanced PYQs
Formula Sheets
NCERT Mapping
Mock Analysis

Support

Help Center
Privacy Policy
Terms of Use
Contact Us

© 2026 PadhoNa. All rights reserved.

Formula Sheets / Maths

Chapter 26

Ellipse

Revise with flashcards Download this chapter (PDF) All Maths formulas (PDF)

Standard ellipse x²/a² + y²/b² = 1 (a > b)Tangent, normal and chord

Standard ellipse x²/a² + y²/b² = 1 (a > b)

$b^{2} = a^{2} (1 - e^{2}),$ foci $(\pm a e, 0),$ directrices $x = \pm \frac{a}{e},$ latus rectum $\frac{2 b ^{2}}{a}$
Parametric
$(a cos θ, b sin θ)$
Focal distances
$S P = a - e x, S^{'} P = a + e x, S P + S^{'} P = 2 a$

Tangent, normal and chord

Tangent
$\frac{x x _{1}}{a ^{2}} + \frac{y y _{1}}{b ^{2}} = 1;$ $\frac{x cos θ}{a} + \frac{y sin θ}{b} = 1;$ $y = m x \pm a^{2} m^{2} + b^{2}$
Normal
$\frac{a ^{2} x}{x _{1}} - \frac{b ^{2} y}{y _{1}} = a^{2} - b^{2};$ $a x sec θ - b y csc θ = a^{2} - b^{2}$
Director circle
$x^{2} + y^{2} = a^{2} + b^{2}$
Chord with midpoint
$T = S_{1}$

Parabola Hyperbola