The number of normal to the ellipse which pass through a focus [except major axis] are

Number of points on the ellipse x^2/a^2+y^2/b^2=1 at which the normal to the ellipse passes through at least one of the foci of the ellipse is

Number of distinct normals of a parabola passing through the focus of the parabola is

If the normal at an end of a latus rectaum of an ellipse passes through an extremity of the minor axis then the eccentricity of the ellispe satisfies .

Find the equation of the ellipse with centre at the origin, the length of the major axis 12 and one focus at (4, 0).

Equation of a normal to the parabola y^(2)=32x passing through its focus is

Find the equation of the ellipse whose centre is at origin, focus is (0,4) and major axis is 10.

If the normals at an end of a latus rectum of an ellipse passes through the other end of the minor axis, then prove that e^(4) + e^(2) =1.

The curve for which the normal at every point passes through a fixed point is a (A) parabola (B) hyperbola (C) ellipse (D) circle