1. A circle is drawn with its center at (8,0) and with radius r such that the circle cuts the ellipse x² + 4y² = 16 at right angles. Find the radius of the circle.

Q: Find the length of the directrix of an ellipse x2/16 + y2/9 = 1

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Q: 4. Determine the equation of an ellipse having foci (0, ±9) and major axis length 22.

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Q: Consider the ellipse 25x² + 49y² = 1225. Consider the point P(14,5). Find an equation for both lines…

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Q: A rectangle is to be inscribed inside a semi-ellipse + = 1, -2 <IS2 and 0 y S 3. Give a rough sketch…

A: Solution is here

Q: Consider the point P (-1,0)on the ellipse 4x2 + y? What is the value of a? Answer to 3 significant…

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Q: =l a

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Q: 26. Find the standard form of the equation of the specified ellipse. Foci: (1, 5), (-3, 5); Major…

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Q: Find the equation of a circle in standard form whose center is at (-4,3) and radius v5 * O…

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Q: Find the points on the ellipse  (x2/9) + y2 = 1 closest to the point (2, 0).

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Q: 10. Show that the ellipse and hyperbola, */*+2=1, 3 intersect at right angles.

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Q: Which of the following is the standard equation of the ellipse with vertices at (1, 0) and (27, 0)…

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Q: What will be the equation of the ellipse with a center at the origin and passes through the points…

A: Given query is to find the equation of ellipse.

Q: For the ellipse (x-1)^2/16+(y+3)^2/4=1, find the center, vertices, foci co vertices and…

A: The given ellipse equation is (x-1)^2/16+(y+3)^2/4=1 To find the center, vertices, foci co vertices…