Which of the following is the set of all points in the plane that are equidistant from a fixed point of a conic section?
Circle
Circle. A circle is “the set of all points in a plane equidistant from a fixed point (center)”.
What is the set of all points that are equidistant from two points?
An alternate definition of a line is the “the set of all points equidistant from two given points”. This line is known as the locus of the point P.
What do you call a set of points in a plane equidistant from a fixed point called as center 1?
The correct option is C circle. The given figure is a circle as all the points on the figure are equidistant from a fixed point O. ‘O’ is called the centre of the circle, and the line segment OA is called the radius of the circle. Mathematics.
What do you call the set of points on a plane which are equidistant from a fixed point a center B chord C circle D circumference?
A set of points equidistant from a fixed point in a plane figure is called a circle where the distance between each of the set of the points and the fixed point forms the radius of the circle.
Is the set of all points in a plane equidistant from a fixed point not on the line?
A parabola is the set of all points in a plane that are equidistant from a fixed line and a fixed point in the plane.
What point is equidistant from the points?
Practice Questions on Equidistant
| True | |
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| A point that is equidistant from two given points is always a midpoint of the given two points. | TrueTrue – A point that is equidistant from two given points is always a midpoint of the given two points. |
What are equidistant points?
In Euclidean geometry, parallel lines (lines that never intersect) are equidistant in the sense that the distance of any point on one line from the nearest point on the other line is the same for all points.
What are equidistant from a fixed point?
What do you call a set of points in a plane equidistant of equal distance from a fixed point in which the fixed point is the center while the fixed distance is the radius?
a circle
A set of points equidistant from a fixed point in a plane figure is called a circle where the distance between each of the set of the points and the fixed point forms the radius of the circle.
Is a set of points equidistant from a fixed point?
Is the set of all points in a plane that are the same distance from a fixed point?
A circle is the set of points in a plane that are all the same distance from a fixed point in the plane. The fixed point is called the centre of the circle. The distance from the centre of the circle to the circle is called the radius of the circle.
How do you find equidistant points?
Step 1: Find the distance between the points A(x, 6) and C(6, -4). Step 2: Find the distance between the points A(x, 6) and D(14, 8). Step 3: AC = AD, since AC and AD are equidistant.
What is the locus of points in the plane that are equidistant from a fixed point and a fixed line?
Parabola is the locus of points which are equidistant to a fixed point and a fixed line.
What is collinear and coplanar?
Collinear points are points all in one line and non collinear points are points that are not on one line. Below points A, F and B are collinear and points G and H are non collinear. Coplanar points are points all in one plane and non coplanar points are points that are not in the same plane.
What do you call on the set of all points such that the distance from a fixed point is constant?
ellipse
Key Concepts. An ellipse is the set of all points (x,y) in a plane such that the sum of their distances from two fixed points is a constant. Each fixed point is called a focus (plural: foci).
What is a set of points equidistant from a fixed point?
It is a set of points in a plane equidistant from a fixed point called the center. A. circle 2. Which of the following segments intersects the circle at two points? 3. This refers to the total distance around the edge of the circle. 4. It is a segment that passes through the center to any point of the circle. 5. The line and circle intersect.
What is the vector line perpendicular to the plane?
I think the plane described lies in the midpoint of these points, and it is perpendicular to the line connecting the two points. This means that the point ( 15 2, 1 2, 7 2) is on the plane, and vector line perpendicular to the plane is < − 9 − 6, 3 − ( − 2), 3 − 4 >=< − 15, 5, − 1 > .
How to find the distance of a point on the bisector plane?
If the point $P = (x,y, z)$ is on the bisector plane, then we know $distance(P,A) = distance(P,B)$. Therefore $$ (x-x_1)^2 + (y-y_1)^2 + (z-z_1)^2 = (x-x_2)^2 + (y-y_2)^2 + (z-z_2)^2$$