Questions
a
any straight line through the vertex
b
any straight line through the focus
c
a straight line parallel to the axis
d
another parabola
detailed solution
Correct option is C
Let points Pat12,2at1 and Qat22,2at2 lie on the parabola y2=4ax Here, points P and Q are variable. But the slope of chord PQ , mPQ=2t1+t2 is constant. Now, let the midpoint of PQ be R(h,k) . Then, k=2at1+2at22 or k=at1+t2=2m∴ y=2m which is a line parallel to the axis of the parabola.Talk to our academic expert!
Similar Questions
is a point on the locus of the mid-points of the
chords of the parabola passing through
the vertex of the parabola; is the focus of the
parabola and the line joining and is produced
to meet the parabola at . If the ordinate of is
equal to its abscissa, coordinates of are
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