AP EAMCET Engineering 2018 Apr 22 Shift 1 Paper

The equation of the ellipse is given as.

x2

a2

+

y2

b2

=1 and,
e=√

2

5

∴√

a2−b2

a2

=√

2

5

a2−b2

a2

=

2

5

5a2−5b2=2a2
a2=

5b2

3

The ellipse passes through the point (-3,1) .

(−3)2

a2

+

(1)2

b2

=1
9h2+

5b2

3

=

5b4

3

b2=

32

5

Substituting the value of a and b in general equation we get.

x2

( 32 3 )

+

y2

( 35 5 )

=1
3x2+5y2−32=0