An ellipse passes through the point (2,3) and its axes along the coordinate axes, `3x +2y -1 = 0` is a tangent to the ellipse, then the equation of the ellipse is

The eccentricity of an ellipse with centre at the orgin and axes along the coordinate axes , is 1/2 if one of the directrices is x=4, the equation of the ellipse is

The eccentricity of an ellipse with centre at the orgin and axes along the coordinate axes , is 1/2 if one of the directrices is x=4, the equation of the ellipse is

An ellipse passes through the points (-3,1)&(2,-2)& its principal axis are along the coordinate axes in order.Find its equation.

Let A(3.2) and B(4,7) are the foci of an ellipse and the line x+y-2=0 is a tangent to the ellipse,then the point of contact of this tangent with the ellipse is

The axis of the ellipse are coordinate axes. It passes through the pts P(2, 7), 2(4, 3). The equation of the ellipse is

An ellipse passes through the point (4,-1) and touches the line x+4y-10=0. Find its equation if its axes coincide with the coordinate axes.

An ellipse passes through the point (4,-1) and touches the line x+4y-10=0 . Find its equation if its axes coincide with the coordinate axes.

An ellipse passes through the point (4,-1) and touches the line x+4y-10=0 . Find its equation if its axes coincide with the coordinate axes.