Question

The equation of the ellipse whose axes are parallel to the coordinate axes having its centre at the point \( (2, -3) \) and focus at \( (3, -3) \) and one vertex at \( (4, -3) \) is

• A. \( \frac{(x - 2)^2}{4} + \frac{(y + 3)^2}{3} = 1 \)
• B. \( \frac{(x + 2)^2}{3} + \frac{(y + 3)^2}{4} = 1 \)
• C. \( \frac{(x - 2)^2}{4} + \frac{(y + 3)^2}{3} = 1 \)
• D. None of the above

Hint:

For ellipses with axes parallel to the coordinate axes, use the standard form and the relationship \( c^2 = a^2 - b^2 \) to find the equation.

Answer 1

The Correct Option is A