area of ellipse formula

Johannes Kepler derived three laws, which govern the planetary motion. These are, 1. The orbit of a planet is an ellipse with the Sun at the one of the foci. 2. The line joining the planet and the Sun sweeps equal areas in equal intervals of time. 3. The cube of the mean distan..

Find an equation in the standard form of the ellipse with foci (2, - 3), (4, - 3), the end points of the major axis are (1, - 3) and (9, - 3). => III or IV or V or I or II..

Find the y - intercepts of the ellipse shown. => (0, 1), (- 2, 0) or (0, - 1), (2, 0) or (0, - 1), (0, 1) or (- 2, 0), (2, 0)..

The eccentricity of an ellipse is e . Which of the following is correct? => 1 ≤ e < 2 or 0 ≤ e < 1 or e = 1 or 1 < e < 2..

The eccentricity of an ellipse is e . Which of the following holds true for the given condition? => 0 ≤ e < 1 or e = 1 or 1 < e < 2 or 1 ≤ e < 2..

Find an equation in standard form for the ellipse whose end points of axes are (± 3, 0) and (0, ± 5). => x 2 2 5 + y 2 9 = 1 or x 2 9 - y 2 2 5 = 1 or y 2 2 5 + x 2 9 = 1 or x 2 2 5 - y 2 9 = 1..

What is the equation of ellipse with center (10, 6), vertices at (16, 6), (- 6, 6) and co - vertices at (10, 9) and (10, 3)? => x 2 1 2 1 + y 2 9 = 1 or ( x + 1 0 ) 2 1 2 1 + ( y + 6 ) 2 9 = 1 or ( x - 1 0 ) 2 1 2 1 + ( y - 6 ) 2 9 = 1 or x 2 1 2 1 - y 2..

Find the standard form of the equation for the ellipse whose major axis has end points (- 1, - 3) and (9, - 3) and whose minor axis has length 4. => x 2 + 2 y 2 = 1 or ( x - 4 ) 2 2 5 + ( y + 3 ) 2 4 = 1 or ( x + 4 ) 2 2 5 + ( y - 3 ) 2 4 = 1 or ( x - 4 ) 2 4 + ( y + 3 ) 2 2 5 = 1..

Express the equation of the ellipse in standard form, whose foci are (2, - 3) and (8, - 3) and the end points of whose major axis are (1, - 3) and (9, - 3). => ( x - 5 ) 2 1 6 + ( y + 3 ) 2 7 = 1 or ( x - 5 ) 2 7 + ( y + 3 ) 2 1 6 = 1 or ( x - 5 ) 2 7 + ( y - 3 ) 2 1 6 = 1 or 5 x 2 + y 2 ..