Ellipse Test - ...

An ellipse having foci at (3,3) and (-4,4) and passing though the origin has eccentricity equal to 

The length of the major axis of the ellipse (5x - 10)² + (5y  + 15)² 

The eccentric angle of a point on the ellipse  at a distance of 5/4 units from the focus on the  positive x-axis, is 

From any point P lying in first quadrant on the ellipse  PN is drawn perpendicular to the major axis and produced at Q so that NQ equals to PS, where S is a focus. Then the locus of Q is 

If a tangent of slope 2 of the ellipse  is normal to the circle x² + y² + 4x + 1 = 0 , then the maximum value of ab is

An ellipse has the points (1, -1) and (2, -1) as its foci and x +y - 5 = 0 as one of its tangents. Then the point where this line touches the ellipse is

From point P (8, 27) , tangent PQ and PR are drawn to the ellipse  Then the angle subtended by QR at origin is 

An ellipse is sliding along the co-ordinate axes. If the foci of the ellipse are (1,1) and (3,3), then area of the director circle of the ellipse (in sq. units) is

The equation of the ellipse whose axes are coincident with the co-ordinates axes and which touches the straight lines 3x - 2y - 20 = 0 and x + 6y - 20 = 0 is

Number of point on the ellipse  from which pair of perpendicular tangents are drawn to the ellipse