JEE 2002

The locus of the mid-point of the line segment joining the focus to a moving point on the parabola y2=4ax is another parabola with directrix?

5 Answers

1
janardhan reddy ·

Ricky please solve

1
mohit sengar ·

i m getting ans as x=0

1
kunl ·

i cn tell yopu are correct mohit even without solving it[1]

1
thumbsdown007 ·

any moving point on parabola y2=4ax is (at2, 2at)

focus = (a,0)

mid point = ((at2+a)/2 , at)

= (h,k)

t = k/a

2h= a(k2/a2 +1)

directrix x=0

6
AKHIL ·

yup
directrix is x=0..

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