## Question

The curve represented by the equation

, is

### Solution

We have,

Clearly, it represents an ellipse with eccentricity *e* given by

.

#### SIMILAR QUESTIONS

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 *x*^{2} + 4*y*^{2} = 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

Length of the major axis of the ellipse , is

The length of the axes of the conic 9*x*^{2} + 4*y*^{2} – 6*x* + 4*y* + 1 = 0 are

The eccentricity of the ellipse

If the eccentricities of the two ellipse

are equal, then the value , is

The equation of the ellipse whose axes are along the coordinate axes, vertices are (±5, 0) are foci at (±4, 0), is