An ellipse having semi major and minor axes 24 and 7 slieds between two lines at right angles to one another. If `A` be the area enclosed by the locus of the centre of the ellipse then `10/pi A=`

An ellipse having length of semi major and minor axes 7 and 24 respectively slides between the coordinate axes. If its centre be (alpha, beta) then alpha^2 + beta^2 =

The relationship between, the semi-major axis, seimi-minor axis and the distance of the focus from the centre of the ellipse is

An ellipse hase semi-major of length 2 and semi-minor axis of length 1. It slides between the coordinates axes in the first quadrant while mantaining contact with both x-axis and y-axis. The locus of the centre of the ellipse is

If the angle between two lines is pi/4 and slope of one of the lines is 1/2 , find the slope of the other line.

Consider the ellipse whose major and minor axes are x-axis and y-axis, respectively. If phi is the angle between the CP and the normal at point P on the ellipse, and the greatest value tan phi is 3/4 (where C is the centre of the ellipse). Also semi-major axis is 10 units . The eccentricity of the ellipse is

An ellipse has O B as the semi-minor axis, F and F ' as its foci, and /_F B F ' a right angle. Then, find the eccentricity of the ellipse.

If the lengths of semi major and semi minor axes of an ellipse are 2 and sqrt(3) and their corresponding equation are y-5=0\ a n d\ x+3=0 then write the equation of the ellipse.

Find the locus of thepoint of intersection of two normals to a parabolas which are at right angles to one another.

Find the locus of thepoint of intersection of two normals to a parabolas which are at right angles to one another.

If the normal at any point P on the ellipse cuts the major and minor axes in G and g respectively and C be the centre of the ellipse, then