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Does the foci of an ellipse lie on the major axis of the ellipse?
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∙ 14y ago
yes
Wiki User
∙ 14y ago
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The foci of an ellipse will always lie inside the ellipse true or fale?
true
What is the equation of an ellipse with vertices 2 0 2 4 and foci 2 1 2 3?
Vertices and the foci lie on the line x =2 Major axis is parellel to the y-axis b > a Center of the ellipse is the midpoint (h,k) of the vertices (2,2) Equation of the ellipse is (x - (2) )^2 / a^2 + (y - (2) )^2 / b^2 Equation of the ellipse is (x-2)^2 / a^2 + (y-2)^2 / b^2 The distance between the center and one of the vertices is b The distance between(2,2) and (2,4) is 2, so b = 2 The distance between the center and one of the foci is c The distance between(2,2) and (2,1) is 1, so c = 1 Now that we know b and c, we can find a^2 c^2=b^2-a^2 (1)^2=(2)^2-a^2 a^2 = 3 The equation of the ellipse is Equation of the ellipse is (x-2)^2 / 3 + (y-2)^2 / 4 =1
Where does the point lie if its abscissa is 0?
It's somewhere on the y-axis.
Which axis does the starting point lie?
The starting point of what?When an angle is in standard position, the initial arm is the positive x-axis, and the angle is measured in a counter-clockwise direction.If this is not your question, please clarify and ask the question again. :-)
When the first number in an ordered pair is 0 where is the point located?
The first number in an ordered pair (of rectangular coordinates) is the distance from the origin along the x- axis. If the number is 0, then any point having this coordinate must lie on the y-axis. If the second number is 0 then the point is at the origin (0,0). If the second number is positive then the point lies on the y-axis above the origin. If the second number is negative then the point lies on the y-axis below the origin.
Is it true that the foci of an ellipse lie on the major axis of the ellipse?
Yes.
Is the foci of an ellipse always lie inside the ellipse?
Yes.
The foci of an ellipse will always lie inside the ellipse?
true
The foci of an ellipse will always lie inside the ellipse true or fale?
true
What are the foci of the ellipse of 9 x squared plus 25 y squared plus 100 y - 125 equals 0?
With the equation of an ellipse in the form (x/a)² + (y/b)² = 1 the axes of the ellipse lie on the x and y axes and the foci are √(a² - b²) along the x axis. 9x² + 25y² + 100y - 125 = 0 → (3x)² + 25(y² + 4y + 4 - 4) = 125 → (3x)² +25(y + 2)² - 100 = 125 → (3x)² +25(y + 2)² = 225 → (3x)²/225 + (y + 2)²/9 = 1 → (x/5)² + ((y+2)/3)² = 1 Thus the foci are √(5² - 3²) = √16 = 4 either side of the y-axis, but the y axis has been shifted up by 2, thus the two foci are (-4, -2) and (4, -2).
What is the equation of an ellipse with vertices 2 0 2 4 and foci 2 1 2 3?
Vertices and the foci lie on the line x =2 Major axis is parellel to the y-axis b > a Center of the ellipse is the midpoint (h,k) of the vertices (2,2) Equation of the ellipse is (x - (2) )^2 / a^2 + (y - (2) )^2 / b^2 Equation of the ellipse is (x-2)^2 / a^2 + (y-2)^2 / b^2 The distance between the center and one of the vertices is b The distance between(2,2) and (2,4) is 2, so b = 2 The distance between the center and one of the foci is c The distance between(2,2) and (2,1) is 1, so c = 1 Now that we know b and c, we can find a^2 c^2=b^2-a^2 (1)^2=(2)^2-a^2 a^2 = 3 The equation of the ellipse is Equation of the ellipse is (x-2)^2 / 3 + (y-2)^2 / 4 =1
Is the sun the center of earths ellipse or is the sun off center of earths ellipse?
The Sun does NOT lie at the centre of an ellipse. The Sun is at one of the two foci of an ellipse. Have you ever drawn an ellipse with two pins a piece of string and pencil on a board. Insert the two pins into the board/paper. Loosely loop the string over the pins, and tighten with the edge of a pencil. Keeping the string taught with the pencil you can draw an ellipse. The positions of the two pins are the foci of the ellipse. Astronomically, the Sun lies at one of these pins. This was discovered by the Astronomer , Johannes Kepler, who gave us the law, that the Earth sweeps equal arcs in equal times about the Sun . The other focus may be thought of as a 'blind' focus. Have a look in Wikipedia under 'Johannes Kepler'. NB The plural of the noun 'focus' is 'foci'. 'Focuses' is when the word 'focus' is being used as a verb.
Are circles orbits of the planets?
NO!!! The planets do NOT orbit in circles. They orbit the Sun in an ellipsoidal manner. An ellipse has two foci. The Sun lies at one of the foci, the other might be deemed to be a 'blind' focus. The Sun does NOT lie at the centre of the ellipse. Also the satellites(moons) orbit their parent planets in a similar manner. It has also been discovered that the planets in an an ellipsoidal manner. That is as each orbit is completed the planet 'over-shoot' their starting point, and the ellipse does not close . See Johannes Kepler, who gave us the Law of orbiting planets sweeping equal arcs in equal times , in 1602 AD.
Where on the coordinate plane would point (0-5) Lie?
It would lie on the y axis
What are the different types of geometric constraints that are applied to sketch's and what are their functions?
Perpendicular is a constraint that causes lines or axes of curves to meet at right angles.Parallel causes two or more lines or ellipse axes to be equidistant from each other.Tangent is used to cause two arcs or a line and an arc to intersect at a single point perpendicular to the arc's radius.Coincident fixes two points together, or fixes a point to a curve.Concentric causes two or more arcs, circles, or ellipses to share the same center point.Colinear causes two lines or ellipse axes to lie along the same line.Horizontal causes lines, ellipse axes, or pairs of points to lie parallel to the X axis of the sketch coordinate system.Vertical causes lines, ellipse axes, or pairs of points to lie parallel to the y axis of the sketch coordinate system.Equal forces line segments to be the same length and arcs or circles to have the same radius.Fix constrains points or curves to a specific point on the sketch coordinate system.Symmetry causes selected lines or curves to become symmetrically constrained about a selected line.(http://chongher.weebly.com/pltw-blog.html)
Where does the point lie if its abscissa is 0?
It's somewhere on the y-axis.
What is the major or minor axis of a beam?
I have seen many answers to this question on the web and while all were correct in their intent, they were all technically wrong or ambiguous because they failed to use definitive language. The minor and major axes lie perpendicular to each other in the plane of the cross-sectional area of the beam. The major axis bisects the area 'short-ways,' the minor, 'long-ways.' Now if like me, you were confused in 1st-grade by the terms in quotes, the major axis is the one about which the greatest moment of inertia can be calculated. Or, if you think of the axes as wires laying in a puddle shaped like the cross-sectional area, the minor axis will have more of its length wet than the major axis. -Scott Scoville, PE
