# In each of the, find the coordinates of the foci, the vertices, the length of major axis, the minor axis, the eccentricity and the length of the latus rectum of the ellipse.16x2 + y2 = 16

The given equation is 16x2 + y2 = 16.

It can be written as

16x2 + y2 = 16

Or, =1

Or, =1. ………… (1)

Here, the denominator of is greater than the denominator of .

Therefore, the major axis is along the x-axis, while the minor axis is along the y-axis.

On comparing the given equation with =1, we obtain b =1 and a =4. c = = Therefore,

The coordinates of the foci are ( ).

The coordinate of the vertices are (0, ).

Length of major axis = 2a = 8

Length of minor axis = 2b = 2

Eccentricity, e Length of latus rectum = Rate this question :

How useful is this solution?
We strive to provide quality solutions. Please rate us to serve you better.
Related Videos  Undersatnd Standard Equation Of Ellipse46 mins  Revise Co-normal points on parabola with questions44 mins  Properties of normal of parabola | Interactive Quiz46 mins  Properties of tangents to parabola | Interactive Quiz Time40 mins  Co-normal points on parabola42 mins  Interactive Quiz on Equation of Parabola41 mins  Lecture on Equation of Parabola59 mins  Quiz on properties of focal chord of parabola36 mins  Equation of normal of parabola | Mastering important concepts44 mins  Focal chord of parabola29 mins
Try our Mini CourseMaster Important Topics in 7 DaysLearn from IITians, NITians, Doctors & Academic Experts
Dedicated counsellor for each student
24X7 Doubt Resolution
Daily Report Card
Detailed Performance Evaluation view all courses 