106as the roots of the eqn are positive.. hence product = r/p >0
==> r and p are of same sign
and -q/p >0
==> q and p are of opposite sign
CASE I p>0
... now... p>0 ==> r>0 and q<0 .. so when x lies between the roots i.e. when A<x<B then f(x) = px2 + qx + r is <0
So. the limit when A<n<B = -1
and when x is outside the roots then f(x) >0 so the limit is 1
Now.. option (b) is not clear whether n lies between or outside the roots so discarded
Option (d) .. here p=1 i.e. >0 and n>A but it doesnt say whether n>B or n<B so discarded again
CASE II p<0
then here .. q>0 and r<0 ..
when x lies between the roots .. the f(x) > 0
So. option (a) is correct..
Again option (c) is not clear whether n lies between or outside the roots so discarded
So answer is (a)
