With a given point and line as focus and directrix, a series of ellipses are described. The locus of the extremities of their minor axis is an (a)ellipse (b)a parabola (c)a hyperbola (d)none of these

IF the distance between a focus and corresponding directrix of an ellipse be 8 and the eccentricity be 1/2 , then length of the minor axis is

If the distance betweent a focus and corresponding directrix of an ellipse be 8 and the eccentricity be 1/2, then length of the minor axis is

Variable ellipses are drawn with x= -4 as a directrix and origin as corresponding foci. The locus of extremities of minor axes of these ellipses is:

Locus of the centre of the circle touching circles |z|=3 and |z-4|=1 externally is (A) a parabola (B) a hyperbola (C) an ellipse (D) none of these

A circle touches the x-axis and also thouches the circle with center (0, 3) and radius 2. The locus of the center of the circle is a circle (b) an ellipse a parabola (d) a hyperbola

In an ellipse,if the lines joining focus to the extremities of the minor axis form an equilateral triangle with the minor axis,then the eccentricity of the ellipse is

A circle touches the line L and the circle C_(1) externally such that both the circles are on the same side of the line,then the locus of centre of the circle is (a) Ellipse (b) Hyperbola (c) Parabola (d) Parts of straight line

The curve in the first quadrant for which the normal at any point (x,y) and the line joining the origin to that point form an isosceles triangle with the x-axis as base is a an ellipse (b) a rectangular hyperbola (c) a circle (d) None of these

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

Locus the centre of the variable circle touching |z-4|=1 and the line Re(z)=0 when the two circles on the same side of the line is (A) a parabola (B) an ellipse (C) a hyperbola (D) none of these