In what direction a line be drawn through the point (1,2) so that its point of intersection with the line x+y=4 is at a distance

(root 6/3) from the given point.

A. 75 degree B.60 degree

C. 45 degree D.30 degree

Dear Anindita

let parametric form of line

x=1+ √6/3 cosθ

y=2+√6/3 sin θ

if this line cut the given line

then

 1+ √6/3 cosθ  +  2+√6/3 sin θ =4

 √6/3 (cosθ  +  sin θ)=1

 sin (θ+45) =Sin60

 so  θ+45 =60   or 120

or    θ  =15 or  75

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