Question

1. choose the best answer.

a circle is the locus of points in a plane that are equidistant from one point, called the
major axis
center
foci
focus

1. select the correct answer.

a(n) is the locus of points in a plane that are equidistant from a line and a point not on the line.
foci

Explanation:

For the first question, by the definition of a circle, the fixed point from which all points on the circle are equidistant is called the center. The major axis is related to ellipses, and foci/focus are terms more relevant to conic sections like ellipses and hyperbolas (a circle is a special case of an ellipse with both foci at the same point - the center, but the standard term for the equidistant point in a circle's definition is center).

For the second question (assuming the options are foci, parabola, etc. - though the second option is cut off in the provided image but based on standard conic - section definitions), the locus of points equidistant from a line (directrix) and a point (focus) not on the line is a parabola. Foci are used in definitions of ellipses and hyperbolas (where there are two foci for ellipses and hyperbolas).

Answer:

1. B. center
2. (Assuming the full option for the second question is parabola) parabola (if the second - question's correct option is among the standard conic - section terms. If the cut - off option was parabola, then that's the answer as per the definition of a parabola: the set of all points in a plane that are equidistant from a fixed line (directrix) and a fixed point (focus) not on the line)