Home
Class 11
MATHS
Find the equation for the ellipse that s...

Find the equation for the ellipse that satisfies the given conditions:Length of major axis 26, foci `(+-5,0)`

Text Solution

Verified by Experts

Equation of ellipse can be given as
`x^2/a^2+y^2/b^2 = 1`
Here, Foci of ellipse ` = (+-5,0)`
So, `X`-axis is major axis and `c = 5`
Length of major axis `= 26`
`2a = 26=> a = 13`
`:. b^2 = c^2-a^2 = 169-25 = 144`
...
Promotional Banner

Topper's Solved these Questions

  • CONIC SECTIONS

    NCERT|Exercise SOLVED EXAMPLES|19 Videos
  • CONIC SECTIONS

    NCERT|Exercise EXERCISE 11.4|14 Videos
  • COMPLEX NUMBERS AND QUADRATIC EQUATIONS

    NCERT|Exercise EXERCISE 5.4|6 Videos
  • INTRODUCTION TO THREE DIMENSIONAL GEOMETRY

    NCERT|Exercise EXERCISE 12.1|4 Videos

Similar Questions

Explore conceptually related problems

Find the equation of the ellipse that satisfies the given conditions: Length of major axis 26, foci (pm5,0)

Find the equation for the ellipse that satisfies the given conditions: Length of minor axis 16, foci (0,+-6)

Find the equation of the ellipse that satisfies the given conditions: Length of minor axis 16, foci (0pm6) .

Find the equation of the ellipse that satisfies the given conditions: Foci (pm3,0),a=4

Find the equation for the ellipse that satisfies the given conditions: Ends of major axis (+-3,0) ends of minor axis (0,+-2)

Find the equation for the ellipse that satisfies the given conditions: Foci quad (+-3,0),a=4

Find the equation for the ellipse that satisfies the given conditions: Ends of major axis (0,+-sqrt(5)) ends of minor axis

Find the equation for the ellipse that satisfies the given conditions: Vertices (+-6,0) foci (+-4,0)

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

Find the equation for the ellipse that satisfies the given conditions: Vertices (0,+-13) foci (0,+-5)