Home
Class 12
MATHS
Let (x^(2))/(a^(2))+(y^(2))/(b^(2))=1 , ...

Let `(x^(2))/(a^(2))+(y^(2))/(b^(2))=1 , a gt b`, be an ellipse with foci `F_(1)` and `F_(2)`. Let AO be its semi-minor axis. Where O is the centre of the ellipse. The lines `AF_(1)` and `AF_(2)`, when extended, , cut the ellipse again at point B and C respectively. Suppose that the triangle ABC is equilateral. Then the eccentricity of the ellipse is

Promotional Banner

Similar Questions

Explore conceptually related problems

S_(1) and S_(2) are the foci of an ellipse and B is the end of the minor axis. If the triangle S_(1) S_(2) B is an equilateral triangle, then eccentricity of the ellipse is

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

An ellipse has O B as semi minor axis, F and F^(prime) its foci and the angle F B F^(prime) is a right angle. Then the eccentricity of the ellipse is

P and Q are the foci of the ellipse (x^2)/(a^2)+(y^2)/(b^2)=1 and B is an end of the minor axis. If P B Q is an equilateral triangle, then the eccentricity of the ellipse is

S and T are the foci of the ellipse x^(2)/a^(2)+y^(2)/b^(2)=1 and B is an end of the minor axis. If STB is an equilateral triangle, the eccentricity of the ellipse is . . .

If the angle between the lines joining the end points of minor axis of an ellipse with its foci is pi/2, then the eccentricity of the ellipse is