What is the standard form of equation of an ellipse?

Q: How is the equation of a hyperbola different from the equation of an ellipse?

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Q: Give the equation for the ellipse graphed

A: Center= (h,k)=(0,0) Length of the major axis=2a= 10 - (-10)=20  So, a=10 Length of the minor…

Q: Write an equation of ellipse with a center at (-4,2)

A: If a> b, x-axis is the major axis  And if a<b, y-axis is the major axis

Q: . How is the equation of a hyperbola different from the equation of an ellipse?

A: How is the equation of a hyperbola different from the equation of an ellipse?

Q: Find an equation of the ellipse having a major axis of length 10 and foci at (-2, 4) and (-2, -2).

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Q: Write an equation for the ellipse.

A: To find the equation of ellipse

Q: Find the equation of the ellipse in standard form and general form with foci (+4, 0) and major axis…

A: Find Equation of ellipse: Given, foci ±4,0 and Major axis of length 10.

Q: Give the property that defines all ellipses.

A: To determine: Properties that define all ellipses.

Q: Given an equation of an ellipse in standard form, how do you determine whether the major axis is…

A: Standard form of ellipse:

Q: Which are the foci of the ellipse represented by 25x² + 16y² = 400?

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Q: Write the standard form equation of each ellipse.

A: Explanation of the answer is as follows

Q: Find an equation for the ellipse with foci (0, ±2) and major axis with endpoints (0, ±4).

A: The points of focus for the ellipse are 0, ±2.The end points of the major axis are (0, ±4).Note…

Q: What are the focus of ellipse with an equation of 4x2+y2=100?

A: We know that; The standard equation of the ellipse is: x-h2a2+y-k2b2=1 Where; Center is at: h,k…

Q: 7. Explain how to identify the major and minor axes of an ellipse are by looking at both the graph…

A: The ellipse is a 2-dimensional shape, which is made according to the property that the sum of…

Q: Find an equation of the ellipse having a major axis of length 10 and foci at (-3, 3) and (- 3, – 3).

A: This is a problem of locus and analytical geometry.

Q: What is the equation of this ellipse?

A: equation of ellipse with centre as origin and a and b are semi major and minor axis. here a = 1 b =…

Q: What are the general equations of an ellipse?

A: To write the general equation of an ellipse.

Q: What is the minor radius of this ellipse?

A: Query- What is the minor radius of this ellipse. Answer- An ellipse is a plane curve surrounding two…

Q: Find the equation of the ellipse in standard form centered with foci located at the (4, -5) and (-8,…

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Q: Write an equation for the ellipse graphed in standard form.

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Q: What are the noteworthy distances of an ellipse?

A: Noteworthy distances of an ellipse

Q: What is the equation of the given ellipse? YA

A: Vertex ( -3 , 2 ) covertex ( -1 , -1.5 )   Center= ( h , k )= ( -3 , - 1.5 )   Major axis b = 2 - (…

Q: what are the turning point? what is the number of turning points in an ellipse?

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Q: Explain with the help of an example Parametrization of an Ellipse.

A: We have write the parametrization of an ellipse.

Q: Find the standard form of the equation of the ellipse with the given characteristics. Center (3,-5)…

A: Center of the ellipse is h, k=3, -5, a=3c and foci are 3, -6 & 3, -4. Now c is the distance…

Q: The standard equation of the ellipse is x233+y249=1 because it says incorrect on my end. Can you…

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Q: 26. Explain how the equation of an ellipse is related to the equation of a circle?

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Q: Find an equation of the ellipse having a major axis of length 10 and foci at (6, 5) and (-2, 5).

A: Equation of the ellipse: (x−2)^2 / 25 +(y−5)^2 / 9=1

Q: Obtain the Cartesian equation of the ellipse using its definition.

A: Let us take the following ellipse into consideration with center at the origin (0,0) and foci as…

Q: derive the standard form of equation for a hyperbola?

A: A cartesian coordinate system contains two mutually perpendicular number lines named x axis and y…

Q: 11. Explain how to identify the major and minor axes of an ellipse are by looking at both the graph…

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Q: Write the standard form of an equation of the ellipse with center (0,0), eccen- 5 major axis…

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Q: Construct an ellipse having length of major axes and minor axes equal to 12 cm and 9 cm…

A: Given: major axes=2a=12  cmminor axes=2b=9  cm

Q: Draw an ellipse having major and minor axis length as 90mm and 60mm

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Q: Find an equation of the ellipse having a major axis of length 10 and foci at (-2, 6) and (-2, 0).

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Q: find the standard equation of an ellipse centered at the origin whose major axis is horizontal and…

A: We know that standard equation of an ellipse centered at the (h,k) whose major axis is horizontal…

Q: What features are unique to an ellipse?

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Q: What is the general form of equation of an ellipse if its center is at (3,-1), a = 4, b = 3 and its…

A: The general form is,                            (x-c)2/a2 + (y-d)2/b2  =1. Where (c,d) is centre of…

Q: What is the standard form equation of an ellipse that has vertices (−2,14) and (−2,−12) and…

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Q: the equation of this ellipse

A: Here we have to find the equation of the ellipse,  we have;

Q: Write the standard form equation of the ellipse. -6 -3

A: The given graph is :-

Q: the equation of an ellipse whose foci a

A:

Q: Why should we transform a given equation of an ellipse into its standard form

A: Given, Why should we transform a given equation of an ellipse into its standard form ?

Q: or the shown ellipse is

A: Each ellipse has two foci on either side of the center of the ellipse, the sum of two distances to…

Q: Write an equation for the ellipse

A: In this question we have to write an equation for the ellipse.

Q: The line segment with endpoints at the vertices of an ellipse is called the _____ axis.

A: The line segment with endpoints at the vertices of an ellipse is called the _____ axis.