Home
Class 12
MATHS
Find the equation of the ellipse in the ...

Find the equation of the ellipse in the following case: ends of major axis `(+-3,0)` ends of minor axis `(0,+-2)`

Text Solution

Verified by Experts

The correct Answer is:
`(x^2)/(9) + (y^2)/(4) = 1`
Promotional Banner

Topper's Solved these Questions

  • CONIC SECTIONS

    NEW JOYTHI PUBLICATION|Exercise EXERCISE - CIRCLE|18 Videos

  • CONIC SECTIONS

    NEW JOYTHI PUBLICATION|Exercise EXERCISE - PARABOLA|19 Videos

  • COMPLEX NUMBERS AND QUADRATIC EQUATIONS

    NEW JOYTHI PUBLICATION|Exercise QUESTIONS FROM COMPETITIVE EXAMS|194 Videos

  • DIFFERENTIAL EQUATIONS

    NEW JOYTHI PUBLICATION|Exercise OBJECTIVE TYPE QUESTION|19 Videos

Similar Questions

Explore conceptually related problems

In each of the following find the equation fot the ellipse that satisfies the given conditions : Ends of major axis (+-3,0) , ends of minor axis (0,+-2)

In each of the following find the equation fot the ellipse that satisfies the given conditions : Ends of major axis (0,+-sqrt(5)) , ends of minor axis (+-1,0)

Find the equation of the ellipse, whose length of the major axis is 20 and foci are (0,+-5)

Find the equation of the ellipse in each of the cases given below : (i) foci ( -+ 3, 0) ,e = 1/2 (ii) foci ( 0, -+ 4) and end points of major axis are ( 0 -+ 5) (iii) length of lagtus rectum 8, eccentricity = 3/5 and major axis on x-axis . (iv) length of latus rectum 4, distance between foci 4sqrt2 and major axis as y -axis.

In each of the following find the equation fot the ellipse that satisfies the given conditions : Length of minor axis 16 , foci (0,+-6)

In each of the following find the equation fot the ellipse that satisfies the given conditions : Length of major axis 26 , foci (+-5,0)

Find the equation of the ellipse whose length of minor axis is 16 and foci are (0, +- 6) .