What is the parametric form of the equation of the ellipse given by,

x²/a² + y²/b² = 1

Open in App

Solution

Parametric equation of the given ellipse is
x = a cos t
y = b sin t

Suggest Corrections

Similar questions

Q. Derive equation of the ellipse in the form

\frac{x^{2}}{a^{2}} + \frac{y^{2}}{b^{2}} = 1

Q. Equation of the ellipse in its standard form is

\frac{x^{2}}{a^{2}} - \frac{y^{2}}{b^{2}} = 1

The equation of tangent with slope $m$ to the ellipse $\frac{x^{2}}{a^{2}} + \frac{y^{2}}{b^{2}} = 1$ is given by $y = m x \mp \sqrt{a^{2} + b^{2} m^{2}} .$

What is the equation of chord of the ellipse $\frac{x^{2}}{a^{2}} + \frac{y^{2}}{b^{2}} = 1$ whose middle point is $(x_{1}, y_{1})$ ? You are given. $T = \frac{x x_{1}}{a^{2}} + \frac{y y_{1}}{b^{2}} - 1 a n d S_{1} \frac{x_{1}^{2}}{a^{2}} + \frac{y_{1}^{2}}{b^{2}} - 1$

Join BYJU'S Learning Program

What is the parametric form of the equation of the ellipse given by, x2/a2 + y2/b2 = 1

Parametric equation of the given ellipse is x = a cos t y = b sin t

What is the parametric form of the equation of the ellipse given by,

x²/a² + y²/b² = 1

Parametric equation of the given ellipse is
x = a cos t
y = b sin t