Question

If the angle between the straight lines joining foci and the ends of minor axis of the ellipse  is 900 then the eccentricity is

Solution

Correct option is

S(ae, 0), S’(– ae, 0) ae foci B(0, b) is an end of the minor axis

m1 = slope of

          

Slope of  

        

 

SIMILAR QUESTIONS

Q1

The ellipse  cuts x-axis at A and A’ and y-axis at Band B’. The line joining the focus S and B makes an angle  with x-axis. The eccentricity of the ellipse is

Q2

A circle is drawn on the major axis of the ellipse 9x2 + 16y2 = 144 as diameter. The equation of circle is

Q3

The equation  represents an ellipse, if

Q4

S and T are the foci of an ellipse and B is an end of the minor axis. If STB is an equilateral triangle, the eccentricity of the ellipse is 

Q5

The locus of mid-points of focal chords of the ellipse  is 

Q6

If  touches the ellipse , then its eccentricity angle θ is equal to

Q7

If the polar with respect to the parabola y2 = 4ax touches the ellipse , then the locus of its pole is  

Q8

The locus of mid-point of the portions of the tangents to the ellipse  included between the axes is the curve 

Q9

The area of the parallelogram formed by tangents at the extremities of two conjugate diameters of the ellipse  is equal to

Q10

The tangent and the normal to the ellipse x2 + 4y2 = 4 at a point P on it meet the major axis in Q and R respectively. If QR = 2, then the eccentric angle of P is