The length of the latus rectum for the ellipse x^2/64 + y^2/16 = 1 is equal to

Q: Find the length of latus rectum of the ellipse 36x2 +25v²+72x-50y-839 = 0: Round off your answer to…

A: The given ellipse equation is 36x2+25y2+72x-50y-839=0. First write the equation in standard form as…

Q: As arch is in the form of parabola with its axis vertical. The arch is 10m high and 5 at the base.…

A: Topic:- application of geometry

Q: Find the standard form of the equation of an ellipse with vertical major axis with length 16 and…

A: The solution follows as:

Q: Find the points on the ellipse 4x2 + y2 = 4 that are farthest away from the point (1, 0). (x, y) =…

A: We have to find the point which is farthest away from the point 1,0 at the ellipse: 4x2+y2=4 Writing…

Q: Find the dimensions of the rectangle of maximum area, with sides parallel to the coordinate axes,…

A: Let 2x and 2y be the length and width of rectangle with sides parallel to the coordinate axes, that…

Q: What is the equation that represents an ellipse with foci at (3, 2) and (-9, 2) that passes through…

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Q: Find an equation of the ellipse that has center (-3, 5), a minor axis of length 2, and a yertex at…

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Q: Find an equation for the ellipse that satisfies the given conditions. Length of major axis: 10,…

A: NOTE: Refresh your page if you can't see any equations. . here foci n y-axis, which means the…

Q: A bridge is to be built in the shape of a semielliptical arch and is to have a span of 100 feet.The…

A: Given: A bridge is to be built in the shape of a semielliptical arch and is to have a span of 100…

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Q: The distance between foci of an ellipse is 6 and its major axis is 10, find the length of the latus…

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Q: Find the points on the ellipse 3x + y = 3 that are farthest away from the point (1, 0). %3D smaller…

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Q: Find an equation for the ellipse that satisfies the given conditions. Length of major axis: 6,…

A: Given,Length of major axis = 6           length of minor axis = 4  and  foci on x-axis

Q: Find the points on the ellipse 4x2 + y2 = 4 that are farthest away from the point (−1, 0).

A: Given 4x^2 + y^2 = 4 y^2 = 4 – 4x^2 y = +- (4 – 4x^2)^1/2 Let distance between (x,y) and point…

Q: Find the standard form of the equation of ellipse satisfying the given conditions as  Major axis…

A: It is given that an ellipse whose major axis is horizontal with length 8, length of minor axis is…

Q: A rectangle of maximum perimeter is to be inscribed in the ellipse x^2/20^2 + y^2/12^2 = 1. The…

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Q: A searchlight is shaped like a parabola. If the light source is located 3 feet from the base along…

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Q: The line segment perpendicular to the axis of symmetry, passing through the focus and with endpoints…

A: Given:The line segment perpendicular to the axis of symmetry, passing through the focus and with…

Q: how to determine the maximum and minimum distance of an ellipse given the major axis=477,736 and…

A: Length of the major axis is 477,736 Length of the minor axis is 477,078 We need to calculate the…

Q: What is the maximum area of a rectangle inscribed in the ellipse 25 + y? = 1?

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Q: Find the length, breadth of the rectangular box of maximum area that can be inscribed in the ellipse…

A: The area of a rectangle is Area=Length × Breadth The area is maximum if the second derivative of…

Q: a building facade is in the shape of a semi ellipse, with the major axis as the span. if the span is…

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Q: Find an equation for the ellipse that satisfies the given conditions. Length of major axis: 6,…

A: Since foci is on y axis therefore it is a vertical ellipse.

Q: A stationary artist intends to make rectangular cut-outs from the elliptical cardboard that he has.…

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Q: (Ellipse) Center at the origin, its foci is on the x-axis, the length of the major axis equal to 3…

A: From the standard form of the equation of the horizontal ellipse (x-h)2a2+(y-h)2b2=1,  Here, a >…

Q: Write the standard form equation of the ellipse. Major axis vertical with length 16. Minor axis…

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Q: Find the eccentricity of an ellipse whose latus - rectum is (i) Half of its minor axis (ii) Half of…

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Q: 5. Explain the distinguishing feature of the distance between the foci and a point on the ellipse.

A: Every ellipse has two axes of symmetry. The foci always lie on the major axis, and the sum of the…

Q: The length of the latus rectum of the ellipse defined by 25x? + 9y? - 300x - 144 y + 1251 -0 3.0 3.2…

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Q: Find the points on the ellipse 3x + y = 3 that are farthest away from the point (1, 0). smaller…

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Q: A certain bridge arch is in the shape of half an ellipse 116 feet wide and 34.8 feet high. At what…

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Q: An arch in the form of semi – ellipse is 50 feet wide at the base and has a height of 16 feet. How…

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Q: Find the ratio of the length of minor axis to the length of the major axis of the ellipse 9x2 + 16y2…

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Q: Find an equation for the ellipse that satisfies the given conditions. Length of major axis: 8,…

A: Given, Length of major axis = 8 Length of minor axis = 4 Center = (0, 0) Foci = y - axis

Q: A one-way road passes under an overpass in the shape of half an ellipse, 15 ft high at the center…

A: NOTE: Refresh your page if you can't see any equations. .

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 points on the ellipse 5x2 + y2 = 5 that are farthest away from the point (1, 0). smaller…

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Q: what is the length of the minor axis of the ellipse 5(x+2)2+(y-0.1)2=125?

A: Given5x+22+y−0.12=125

Q: 7. If the latus rectum of an ellipse with axis along x-axis and centre at origin is 10, distance…

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Q: Find the points on the ellipse 5x2 + y² = 5 that are farthest away from the point (1, 0). smaller…

A: To find the points on the ellipse 5x2+y2=5, that are farthest away from the point 1, 0.

Q: Find the dimensions of the rectangle with maximum perimeter that can be inscribed with sides…

A: Assume the length of rectangle be 2x and width of the rectangle be 2y. Therefore, the perimeter is…

Q: Find the maximum area of a rectangle inscribed in an ellipse whose equation is 4x2 + 25y2 = 100.

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Q: Find the standard form of the equation of an ellipse with the given characteristics. Major axis…

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Q: Find the dimension of the rectangle of maximum area that can be inscribed in the ellipse…

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Q: An ellipse is centered at the origin and its major axis is on the x-axis. What is the equation of…

A: Explanation of the answer is as follows

Q: The length of the latus rectum of the ellipse defined by 25x2 +9y2 - 300x – 144 y + 1251 = 0 is 3.0…

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Q: Find the standard form of the equation of ellipse satisfying the given conditions as  Major axis…

A: Given- An ellipse has following parameter, major axis horizontal with length 12, length of minor…

Q: A rectangle is to be inscribed in the ellipse described by x? + = 1. What should the dimensions of…

A: Given,  The equation of the ellipse x2 + y29 = 1  We have to find the dimension of rectangle with…