If a point moves such that its distances from (3,0) and (-3,0) sum to 10, it traces:

If a point moves such that its…

Answer: An ellipse.

A A circle
B An ellipse
C A hyperbola
D A parabola

Correct answer: B. An ellipse

Explanation: Sum of distances from two fixed points = constant > distance between foci: definition of an ellipse. Foci (±3,0), 2a=10, a=5.

The slope of a line is the ratio of vertical change (rise) to horizontal change (run) between any two points on it - equivalently, the tangent of the angle θ the line makes with the positive x-axis.

Concept context

Points, lines, and curves on the Cartesian plane

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If a point moves such that its distances from (3,0) and (-3,0) sum to 10, it traces:

Concept context

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