341sorry bad qn :(
a man is left in a field where a point O is placed.there r two flags named A,B .he is told that if he moves from O to A and the same distance again at an angle 90 from A he reaches A'. and similarly if moves from O to B and then at 90 covers again distance OB he reaches B'.
there is a treasure at the midpoint of A'B'.
BUT UNFORTUNATE man went to the field and saw point O is missing
what will he do...... leave the treasure?????????????????????????????????????
surely not...then?
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6 Answers
341A clarification, at both A and B does he turn in the same sense?
I guess for the problem to be interesting, he's got to turn towards left at say A and towards right at B
1it is not mentioned
i know u will take only 15 minutes for the problem PROPHET sir
1see this
http://www.targetiit.com/iit-jee-forum/posts/june-08-vectors-9387.html
post 5
1let us assume the distance between A and B be 2k
let mid-point of A and B be origin so A is at -k and B is at k
let point O be at x+ i y (x,y not known)
distance OA = (x+k) + i y
on 90° rotation i[(x+k) + i y)] so A' at -y + i(x+k)
similarly B' at -y + i(-x+k)
midpoint is at i k
so the treasure is at k distance from the mid-point along the perpendicular bisector of AB