Home › AP EAPCET (Engineering) › Mathematics › Coordinate Geometry: Ellipse › For any point on an ellipse with semi-major axis…
For any point on an ellipse with semi-major axis a, the sum of its distances from the foci equals
A2a
B2b
Ca + b
D2c
Answer & Solution
Correct answer: A. 2a
The vertex on the major axis has focal distances a + c and a - c, which add up to 2a, and the sum is constant everywhere on the curve.
Related questions
The ellipse x²/a² + y²/b² = 1 becomes a circle when:x²/(k-2) + y²/(5-k) = 1 is an ellipse for:A point of an ellipse with e = 1/2 is 8 units from a directrix. Focal distance:With semi-major axis 10 and e = 0.6, the distance between foci is:An ellipse with a = 4 and e = 1/2 has a latus rectum of length:Line y = x + k touches x²/9 + y²/4 = 1. Possible k:P lies on x²/81 + y²/45 = 1. Its focal distances add to:Centred at origin, an ellipse cuts the axes at (±6, 0) and (0, ±3). Equation: