Question

A parabola is the set of all points that:

A, are the same distance from two lines
B, are the same distance from a point and a line
C, are the same distance from one point
D, are the same distance from two points

Answer 1

Are the same distance from a point and a line.

Explanation:

Answer 2

Option B is the right answer.

Explanation:

A parabola is part of a conic section which is got by cutting a right circular cone by a plane, when the intersection gives rise to an open figure.

A parabola is defined as one conic section with eccentricity 1.

Eccentricity is defined as the ratio of distance of the curve from a line to the distance from a point.

In parabola, the line is the directrix, and the point is the vertex.

And always in a parabola, the distance from the directrix will equal the distance from vertex

Hence option b is right.