Question

find equation of ellipse, the end point of whose major axis are (+-3,0) and the end points of whose minor axis are (0,+-2)

Answer 1

distance between the major axis is called as 'a' and minor axis as'b'.. also the relation between a and b is given as a^2=b^2+c^2.... solve to get the answer bro.....!! enjoyy maths.....@mathemagician..

Answer 2

$\Large{\textbf{\underline{\underline{According\:to\:the\:Question}}}}$

Here we have,

Major axis is on the x axis (Given)

Hence,

It is a horizontal ellipse

Now,

Assume

${\boxed{\sf\:{Equation=\dfrac{x^2}{a^2}+\dfrac{y^2}{b^2}=1}}}$

Where a² > b²

Vertices = (±a , 0)

Hence,

a = 3

End of minor axis

C(0 , -2) and D(0 , 2)

CD = 4 (Length of minor axis)

2b = 4

b = 2

Also,

a = 3 and b = 2

a² = 9 and b² = 4

Hence

$\Large{\boxed{\sf\:{Equation=\dfrac{x^2}{9}+\dfrac{y^2}{4}=1}}}$