Question

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

Solution

Correct option is

x2 + y2 = a2 - b2

 

The coordinates of two foci of the given ellipse are S(ae, 0) and

S’(–ae, 0). So, equation of the circle with SS’ as diameter is    

        

  

SIMILAR QUESTIONS

Q1

Length of the major axis of the ellipse , is

Q2

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

Q3

The eccentricity of the ellipse 

Q4

 

If the eccentricities of the two ellipse 

are equal, then the value , is

Q5

 

The curve represented by the equation

 , is

Q6

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

Q7

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

Q8

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

Q9

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

Q10

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