Equation of the ellipse with vertices - 5-0 foci - 4-0 is

The correct option is A Vertices,A = nbsp;(±5,0), a = 5 Foci,S = (±4,0), ae = 4 ⇒ nbsp;e = 4/5 Centre,C = (0,0), b^2 = 25(1 16/25) = 9 x^2/25+y^2/9 = 1 ...

You visited us 1 times! Enjoying our articles? Unlock Full Access!

Byju's Answer

Standard XII

Mathematics

Centre of Ellipse

Equation of t...

Question

Equation of the ellipse with vertices ( $\pm 5, 0$ ) foci ( $\pm 4, 0$ ) is

Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses

No worries! We‘ve got your back. Try BYJU‘S free classes today!

Open in App

Solution

The correct option is A

Vertices,A = ( $\pm 5, 0$ ), a = 5

Foci,S = ( $\pm 4, 0$ ), ae = 4 $\Rightarrow e$ = $\frac{4}{5}$

Centre,C = (0,0), $b^{2}$ = $25 (1 - \frac{16}{25})$ = 9

$\frac{x^{2}}{25} + \frac{y^{2}}{9}$ = 1

Suggest Corrections

Similar questions

Q. The equation of the ellipse having vertices at

(\pm 5, 0)

and foci

(\pm 4, 0)

The equation of the ellipse whose vertices are ( ±5,0) and foci are ( ± 4 , 0 ) is

Q. The equation of the ellipse with vertices

(\pm 13, 0)

and foci

(\pm 5, 0),

Find the equation of an ellipse whose vertices are at $(\pm 5, 0)$ and foci at $(\pm 4, 0) .$

Find the equation for the ellipse that satisfies the given conditions: Vertices (±5, 0), foci (±4, 0)

Join BYJU'S Learning Program

Equation of the ellipse with vertices (±5,0) foci (±4,0) is

The correct option is A Vertices,A = (±5,0), a = 5 Foci,S = (±4,0), ae = 4 ⇒e = 45 Centre,C = (0,0), b2 = 25(1−1625) = 9 x225+y29 = 1

Equation of the ellipse with vertices ( $\pm 5, 0$ ) foci ( $\pm 4, 0$ ) is

The correct option is A

Vertices,A = ( $\pm 5, 0$ ), a = 5

Foci,S = ( $\pm 4, 0$ ), ae = 4 $\Rightarrow e$ = $\frac{4}{5}$

Centre,C = (0,0), $b^{2}$ = $25 (1 - \frac{16}{25})$ = 9

$\frac{x^{2}}{25} + \frac{y^{2}}{9}$ = 1