Question

 

The curve represented by the equation

 , is

Solution

Correct option is

 

We have, 

       

  

Clearly, it represents an ellipse with eccentricity e given by     

       

          .

SIMILAR QUESTIONS

Q1

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

Q2

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    

Q3

The equation  represents an ellipse, if  

Q4

The curve with parametric equations 

Q5

 

The curve represented by

 

Q6

Length of the major axis of the ellipse , is

Q7

The length of the axes of the conic 9x2 + 4y2 – 6x + 4y + 1 = 0 are

Q8

The eccentricity of the ellipse 

Q9

 

If the eccentricities of the two ellipse 

are equal, then the value , is

Q10

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