Aakash AITS 2

i think it's not that easy

check this

as organic pointed this is parabola with vertex (6/7 , 12/7)

eccentricity of S=1/√2

now (1,1) is a point on the directrix of the parabola so the tangents drawn to parabola are perpendicular and the chord of contact is it's focal chord!!!!

now since the eccentricity is less than 1 the curve should be ellipse

acc. to question the tangents from (1,1) are also the tangents to this ellipse and since the tangents are perpendicular the locus is the director circle!!!!!

now use these and try to get the answer..........

can you plz upload the papers