Since the major axis is along y-axis.
∴ The equation of ellipse in standard form is

x2

a2

+

y2

b2

= 1
Since the ellipse passes through the point (3, 2)
∴

9

b2

+

4

a2

= 1 ... (i)
Also, the ellipse passes through point (1, 6)
∴

1

b2

+

36

a2

= 1 ... (ii)
Solving (i) and (ii), we get a2 = 40 and b2 = 10
Hence the required equation of ellipse is

x2

10

+

y2

40

= 1.