Question

Which of the following best describes a parabola?
O
A. The set of all points in a plane that are equidistant from a single
point and a single line
O
B. The set of all points in a plane that are equidistant from two points
O
C. The set of all points in a plane at a given distance from a given
point
O
D. The set of all points in a plane that are equidistant from two points
and a single line

Answer 1

Answer:

A

Step-by-step explanation:

The definition of a parabola.

Any point on the parabola (x, y) is equidistant from a point ( the focus ) and a line ( the directrix ).

Answer 2

Parabola is best describe by:

• The set of all points in a plane that are equidistant from a single point and a single line

What is parabola?

"Parabola is defined as the set of all the points in a plane that are equidistant from a fixed point known as focus and a fixed line called directrix."

According to the question,

A. The set of all points in a plane that are equidistant from a single

point and a single line.

• Equidistant from a single point called focus.
• Equidistant from a single line known as directrix.

It represents the parabola.

Option(A) is the correct answer.

B. The set of all points in a plane that are equidistant from two points.

It represents the line.

Option (B) is not the correct answer.

C. The set of all points in a plane at a given distance from a given

point.

• Given point is center of the circle.

It represents the circle.

Option (C) is not the correct answer.

D. The set of all points in a plane that are equidistant from two points

     and a single line.

It represents the perpendicular bisector.

Option (D) is not the correct answer.

Hence, Option(A) is the correct answer.

Learn more about parabola here

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