Question

The vertices of the ellipse 

Solution

Correct option is

 

The equation of the ellipse can be written as   

        

     

    

Shifting the origin at (1, 0), keeping the axes parallel to the coordinate axes, we have

      

The equation of the ellipse with reference to new origin is  

       

The coordinates of vertices with reference to new origin are

     

Substituting these in (i), we obtain (1, ±3) as the coordinates of the vertices of the given conic.

SIMILAR QUESTIONS

Q1

 

If the eccentricities of the two ellipse 

are equal, then the value , is

Q2

 

The curve represented by the equation

 , is

Q3

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

Q4

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

Q5

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

Q6

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

Q7

The equation of the circle drawn with the two foci of  as the end-points of  a diameter, is

Q8

The foci of the conic 25x2 +16y2 – 150x = 175 are

Q9

 

The foci of the ellipse  are  

 

Q10

The equation of the ellipse, with axes parallel to the coordinate axes, whose eccentricity is 1/3 and foci are at (2, –2) and (2, 4) is