Home › TS EAPCET (Engineering) › Mathematics › Locus (mathematics) › Points whose distances from two foci add up to a…
Points whose distances from two foci add up to a constant form a
AHyperbola
BParabola
CStraight line
DEllipse
Answer & Solution
Correct answer: D. Ellipse
A constant sum of focal distances is the defining property of an ellipse.
Related questions
The foci of the ellipse 9x^2+25y^2+18x-100y-116=0 areIf axes shift h to the right and k up, a fixed point appears movedIf axes are rotated counterclockwise, a fixed point appears rotatedA second-degree equation in x, y, z that is not a cylinder, plane, line or point gives aIn three dimensions the origin moves to (h, k, l). Old z equalsWhen axes are translated, the slope of a given lineWhich expression keeps its value when axes are rotated about the origin?The axes are rotated through any angle. The circle x^2 + y^2 = 9 becomes