Let be an equilateral triangle inscribed in the circle , suppose perpendiculars from to the major axis of the ellipse meet the ellipse respectively at so that on the same side of the major axis as respectively then the normals to the ellipse drawn at the points and are
Non-concurrent
Concurrent
Can't be said
None
Let coordinates of inscribed in circle be
then co-ordinates of are
Equation of normal at to ellipse
Normals (1), (2), (3) are concurrent if
On multiplying and dividing by
Determinant in (4) can be written as
which has zero value. Hence, normals are concurrent.
Study 40% syllabus and score up to 100% marks in JEE