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

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

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 ` = (+-3,0)`
So, `X`-axis is major axis and `c = 3`.
`a = 4=>a^2 = 16`
`:. b^2 = a^2-c^2 = 16-9 = 7`
So, equation of required ellipse will be,
...
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: Foci (pm3,0),a=4

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)

Find the equation for the ellipse that satisfies the given conditions: Centre at (0,0), major axis on the yaxis and passes through the points (3,2) and (1,6) .

Find the equation of the ellipse that satisfies the given conditions: Vertices (pm5,0) , foci (pm4,0)

Find the equation of the ellipse that satisfies the given conditions: Vertices (pm6,0) , foci (pm4,0)

Find the equation for the ellipse that satisfies the given conditions: b=3, c =4, centre at the origin; foci on a x axis.

Find the equation of the ellipse that satisfies the given conditions: Vertices (0,pm13) , foci (0,pm5)

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