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Distance of a Point from Coordinate Axes

In the ellips...

Question

In the ellipse whose centre is (0,1), an end of the major axis is (3,1) and the nearer focus is (1,1). The minor axis has the length-

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Q. Arrange the eccentricities of the following ellipses in particular order.

A- Ellipse whose Latus rectum is half of its major axis.

B- Ellipse whose distance between the foci is equal to the distance between a focus and one end of minor axis

C- Ellipse whose major axis is double the minor axis.

D- Ellipse whose distance between the foci is

6

and the length of minor axis is

8

.

Q. Find the equation to the ellipse whose one vertex is

(3, 1)

, the nearer focus is

(1, 1)

and the eccentricity is

2 / 3

Q. Let ‘O’ be the centre of ellipse for which A,B are end points of major axis and C,D are end points of minor axis, F is focus of the ellipse. If in radius of

Δ O C F

| A B | \times | C D | =

Q. In an ellipse, the distance between the focus and the nearest endpoint of the major axis is equal to the distance between the two focii. If the length of its semi-minor axis is

2 \sqrt{2}

, then the length of its semi-major axis is

?

One focus of an Ellipse is (1,0) with centre (0,0). If the length of major axis is 6 its e =

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