Question

The eccentricity of the ellipse 

Solution

Correct option is

 

The equation of the ellipse is  

       

  

    

On comparing, we get a = 2 and b = 1.  

Let e be the eccentricity of the ellipse. Then, 

       

           .

SIMILAR QUESTIONS

Q1

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  

Q2

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

Q3

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

Q4

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    

Q5

The equation  represents an ellipse, if  

Q6

The curve with parametric equations 

Q7

 

The curve represented by

 

Q8

Length of the major axis of the ellipse , is

Q9

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

Q10

 

If the eccentricities of the two ellipse 

are equal, then the value , is