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Which of the following is a focus of ((x...

Which of the following is a focus of `((x-2)^(2))/(4)+((y+1)^(2))/(5)=1`

A

(1,-1)

B

(2,-1)

C

(3,-1)

D

(2,-2)

Text Solution

AI Generated Solution

To find the focus of the given ellipse represented by the equation \(\frac{(x-2)^{2}}{4} + \frac{(y+1)^{2}}{5} = 1\), we will follow these steps: ### Step 1: Identify the standard form of the ellipse The standard form of an ellipse is given by: \[ \frac{(x-h)^{2}}{a^{2}} + \frac{(y-k)^{2}}{b^{2}} = 1 \] where \((h, k)\) is the center of the ellipse, \(a\) is the semi-major axis, and \(b\) is the semi-minor axis. ...
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