Length of the major axis of the ellipse , is
The equation of the ellipse is
Clearly, it is of the form where b > a.
So, major axis of the given ellipse is along y-axis and its length is 6.
The tangent at a point P(θ) to the ellipse cuts the auxiliary circle at points Q and R. If QR subtends a right angle at the centre C of the ellipse, then the eccentricity of the ellipse is
Let d1 and d2 be the lengths of the perpendiculars drawn from fociS and S’ of the ellipse to the tangent at any point P on the ellipse. Then, SP : SP’ =
The eccentricity of an ellipse with centre at the origin and axes along the coordinate axes, is 1/2. If one of the directrices is x = 4, then the equation of the ellipse is
If the tangents are drawn to the ellipse x2 + 2y2 = 2, then the locus of the mid-point of the intercept made by the tangents between the coordinate axes is
If A bar of given length moves with its extremities on two fixed straight lines at right angles, then the locus of any point on the bar describes a/an
The normal at a point P on the ellipse x2 + 4y2 = 16 meets the x-axis at Q. If M is the mid-point of the line segment PQ then the locus of M intersects the latusrectums of the given ellipse at the points
The equation represents an ellipse, if
The curve with parametric equations
The curve represented by
The length of the axes of the conic 9x2 + 4y2 – 6x + 4y + 1 = 0 are