If The Latusrectum Of An Ellipse Is Equal To One Half Of Its Minor Axis, Then The Eccentricity Is Equal To

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Question

If the latusrectum of an ellipse is equal to one half of its minor axis, then the eccentricity is equal to

Solution

Correct option is

 

We have, 

       

  

         

         .

SIMILAR QUESTIONS

Q1

The curve with parametric equations 

Q2

 

The curve represented by

 

Q3

Length of the major axis of the ellipse , is

Q4

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

Q5

The eccentricity of the ellipse 

Q6

 

If the eccentricities of the two ellipse 

are equal, then the value , is

Q7

 

The curve represented by the equation

 , is

Q8

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

Q9

The equation of the ellipse whose axes are along the coordinate axes, vertices are (0, ±10) and eccentricity e = 4/5, is 

Q10

The eccentricity of the ellipse, if the distance between the foci is equal to the length of the latusrectum, is