Questions
Locus of the mid points of the chords of the parabola
which touch the circle is
detailed solution
Correct option is C
Let (h, k) be the mid-point of the chord of theparabola y2=8x then its equation isky−4(x+h)=k2−8h⇒4x−ky+k2−4h=0which touches the circle x2+y2=4⇒k2−4h16+k2=2⇒k2−4h2=4k2+16Locus of (h, k) is y2−4x2=416+y2.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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