Questions
Tangents at the extremities of a focal chord of a
parabola intersect
a
on the axis of the parabola
b
on the tangent at the vertex
c
at the point of intersection of the directrix and theline parallel to the axis of the parabola throughthe mid-point of the chord
d
none of these
detailed solution
Correct option is C
Extremities of a focal chord are at2,2at,a/t2,−2a/tTangents are ty=x+at2, and −ty=xt2+aThey intersect at −a,at2−1t or −a,at−1twhich is the point of intersection of the directrixx = – a and the line y=at−1t which is theline through the mid-point of the chord parallel tothe axis.Talk to our academic expert!
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