Home › AP EAPCET (Engineering) › Mathematics › Coordinate Geometry: Ellipse › An ellipse with a = 4 and e = 1/2 has a latus re…
An ellipse with a = 4 and e = 1/2 has a latus rectum of length:
A6
B3
C4
D12
Answer & Solution
Correct answer: A. 6
Here b² = a²(1 - e²) = 12, so the latus rectum is 2b²/a = 24/4 = 6.
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: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:The directrices of x²/25 + y²/9 = 1 are the lines: