An ellipse with centre at `(0,0)` cuts `x`-axis at `(3,0)` and `(-3,0)` .If its `e=1/2` then the length of the semi minor axis is `k` then `(2)/(sqrt(3))k=`

If (0, 3+sqrt5) is a point on the ellipse whose foci and (2, 3) and (-2, 3) , then the length of the semi - major axis is

An ellipse passing through the origin has its foci (3,4) and (6,8). Then length of its semi-minor axis is b, then the value of b/sqrt2 is

in an ellipse with centre at the origin , if the difference of the lengths of major axis and minor axis is 10 and one of the foci is at (0,5,sqrt(3)) , then length of its latus rectum is

In an ellipse,with centre at the origin,if the difference of the length of major axis and minor axis is 10 and one of the foci is at (0,5sqrt(3)). Then the length of its latus rectum is :

Let the distance between a focus and the corresponding directrix of an ellipse be 8 and the eccentricity be (1)/(2). If the length of the minor axis is k, then (sqrt(3)k)/(2) is

Find the equation of the ellipse whose foci are the points (1, 2) and (-3,2), and the length of the minor axis is 4sqrt3 .

The graph of y=x^(3)-4x cuts x-axis at (-2,0), (0,0) and (2,0). The zeroes of x^(3)-4x are

A circle with centre (h,k) .If the circle passing through (0,0) and centre lies on x -axis.Then the equation of the circle is

In an ellipse, its foci and the ends of its major axis are equally spaced. If the length of its semi-minor is 2sqrt(2), them the length of its semi-major axis is

An ellipse, with foci at (0, 2) and (0, –2) and minor axis of length 4, passes through which of the following points?