Match the following Column I to Column II

Answer

(c )-(p),(q)

Explanation

`(c ) -(p),(q) `
we have `bar(OX)=sqrt(3)hati + hatj and bar(OY)=hati+sqrt(3)hatj`

hence , equation of actute angle bisctor of `bar(OX) and Bar(OY)` is
`y=x`
`or x-y=0`
Now , distance of `beta hati+(1-beta)hati-=Z or (beta,1-beta) from x-y=0` , is
`implies |(beta-(1-beta))/(sqrt(2))|=(3)/(sqrt(2))`
`implies |2 beta-1|=3`
`implies 2beta-1=+-3`
`implies 2 beta = 4,-2`
`implies beta=4,-2`
`beta=2,-1`
`implies |beta|=2,1`
Note : Solutions of the remaining parts are given in their respective chapters .