# Find the equation for the ellipse that satisfies the given conditions:    Q19.    Centre at (0,0), major axis on the y-axis and passes through the points (3, 2) and (1,6).

Given,in an ellipse

Centre at (0,0), major axis on the y-axis and passes through the points (3, 2) and (1,6).

Since, The major axis of this ellipse is on the Y-axis, the equation of the ellipse will be of the form:

Where  and  are  the length of the semimajor axis and semiminor axis respectively.

Now since the ellipse passes through points,(3, 2)

since the ellipse also  passes through points,(1, 6).

On solving these two equation we get

and

Thus, The equation of the ellipse will be

.

### Preparation Products

Boost your Preparation for JEE Main 2021 with Personlized Coaching

Exams
Articles
Questions