Home
Class 11
MATHS
The equation of the ellipse having foci ...

The equation of the ellipse having foci (1,0),(0,-1) and minor axis of length 1 is ……

Text Solution

AI Generated Solution

To find the equation of the ellipse with foci at (0, 1) and (0, -1) and a minor axis of length 1, we can follow these steps: ### Step 1: Identify the foci and the minor axis The foci of the ellipse are given as (0, 1) and (0, -1). This indicates that the ellipse is vertically oriented. The minor axis is given as having a length of 1. ### Step 2: Determine the semi-minor axis (b) The length of the minor axis is 1, so the semi-minor axis \( b \) is half of that: \[ ...
Promotional Banner

Topper's Solved these Questions

  • CONIC SECTIONS

    NCERT EXEMPLAR ENGLISH|Exercise Objective type|13 Videos

  • CONIC SECTIONS

    NCERT EXEMPLAR ENGLISH|Exercise True/False|8 Videos

  • COMPLEX NUMBERS AND QUADRATIC EQUATIONS

    NCERT EXEMPLAR ENGLISH|Exercise OBJECTIVE TYPE QUESTIONS|16 Videos

  • INTRODUCTION TO THREE DIMENSIONAL GEOMETRY

    NCERT EXEMPLAR ENGLISH|Exercise Fillers|16 Videos

Similar Questions

Explore conceptually related problems

Find the eqation of the ellipse having foci (0,1),(0,-1) and minor axis of length 1.

Find the equation of the hyperbola having foci (0, +- 4) and transverse axis of length. 6.

Find the equation of the ellipse having minor axis of length 1 and foci (0,1), (0,-1). Also find its latus rectum.

Find the equation of the ellipse whose centre is at (0, 2) and major axis along the axis of y and whose minor axis is equal to the distance between the foci and whose latus rectum is 2.

Equation of the ellipse whose foci are (2,2) and (4,2) and the major axis is of length 10, is

Find the equation of the ellipse whose foci are (-1, 5) and (5, 5) and whose major axis is 10.

Find the equation of the ellipse whose major axis is 8 and minor axis is 4.

Find the equation of the ellipse whose foci are (0,pm1) and eccentricity is (1)/(2) .

If the foci of an ellipse are (0,+-1) and the minor axis is of unit length, then find the equation of the ellipse. The axes of ellipse are the coordinate axes.

An ellipse, with foci at (0, 2) and (0, –2) and minor axis of length 4, passes through which of the following points?