Question
The slope of a common tangent to the ellipse and aconcentric circle of radius r is

None of these



easy
Solution
The equation of any tangent to the given ellipse is
If it touches x^{2} + y^{2} = r^{2}. Then,
SIMILAR QUESTIONS
The sum of the squares of the perpendicular on any tangent to the ellipse from two points on the minor axis, each at a distance from the centre is
The eccentric angle of a point on the ellipse whose distance from the centre of the ellipse is 2, is
If any tangent to the ellipse intercepts equal length lon the axes, then l =
The ellipse x^{2} + 4y^{2} = 4 is inscribed in a rectangle aligned with the coordinate axes, which in turn is inscribed in another ellipse that passes through the point (4, 0). Then, the equation of the ellipse is
A focus of an ellipse is at the origin. The directrix is the line x = 4 and the eccentricity is 1/2. Then the length of the semimajor axis, is
In an ellipse, the distance between its foci is 6 and minor axis is 8. The eccentricity is
The tangent at a point meets the auxiliany circle in two points. The chord joining them subtends a right angle at the centre. Then, the eccentricity of the ellipse is given by
If F_{1} and F_{2} be the feet of the perpendicular from the foci S_{1}and S_{2} of an ellipse on the tangent at any point P on the ellipse, then (S_{1}F_{1})(S_{2}F_{2}) is equal to
The area of the rectangle formed by the perpendiculars from the centre of the ellipse to the tangent and normal at the pointwhose eccentric angle is , is
P is a variable point on the ellipse with AA’ as the major axis. Then, the maximum value of the area of the triangleAPA’ is