Q91 / 180 · COMEDK 2019 · Mathematics

The locus of a point which moves such that the sum of its distances from two fixed points is a constant is

A
a circle
B
a parabola
Correct answer
C
an ellipse
D
a hyperbola

Solution

The locus of a point which moves such that the sum of its distances from the two fixed points is a constant is an ellipse.

Hence, the correct answer is option: 'C'.

More Ellipse Questions

The equation of an ellipse, whose focus is , directrix is and whose eccentricity is a root of the quadratic equation , is2024 (Morning Shift)General Equation of 2nd degree curve
The latusrectum of the ellipse is half the minor axis. Then, its eccentricity is2018General Equation of 2nd degree curve
The length of the latus rectum of the curve represented by and is:09 May, 2026 (S1)Equation of Ellipse
The foci of a hyperbola are the same as those of the ellipse with equation . If the length of the transverse axis of this hyperbola is , the09 May, 2026 (S2)Equation of Ellipse
If the two ends of the major axis of an ellipse are and and one focus lies on the line , then its equation is09 May, 2026 (S2)Equation of Ellipse
If the distance between the foci is equal to the length of the latus rectum, then the eccentricity of the ellipse is10 May, 2025 (S1)Equation of Ellipse