An ellipse has its centre at (1,-1) and semi major axis =8 and it passes through the point (1,3). The equation of the ellipse is
a.`((x+1)^2)/(64)+((y+1)^2)/(16)=1` b. `((x-1)^2)/(64)+((y-1)^2)/(16)=1` c. `((x-1)^2)/(64)+((y+1)^2)/(16)=1` d. `((x+1)^2)/(64)+((y-1)^2)/(16)=1`

Explanation

To find the equation of the ellipse with the given parameters, we can follow these steps:

### Step 1: Identify the center and semi-major axis
The center of the ellipse is given as (1, -1) and the semi-major axis is 8.

### Step 2: Determine the values of a and b
The semi-major axis \( a \) is 8, so:
\[
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