Let be any point on any directrix of an ellipse. Then chords of contact of point with respect to the ellipse and its auxiliary circle intersect at 

a) 
Some point on the major axis depending upon the position of point 
b) 
Midpoint of the line segment joining the centre to the corresponding focus 
c) 
Corresponding focus 
d) 
None of these 
Let be any point on any directrix of an ellipse. Then chords of contact of point with respect to the ellipse and its auxiliary circle intersect at 

a) 
Some point on the major axis depending upon the position of point 
b) 
Midpoint of the line segment joining the centre to the corresponding focus 
c) 
Corresponding focus 
d) 
None of these 
(c)
Let the ellipse be . Any point on the directrix is
Chord of contact of with respect to the ellipse is
(i)
Chord of contact of with respect to the auxiliary circle is
(ii)
Equation (i) and (ii) intersect at