let m be a rootof the first eqn
then 1/m is the root of the second eqn
1... am^2+bm+c=0
2... a1/m^2 + b1/m +c1= 0
now eliminate m from both the eqn..
n u will get a relation in a,b,c,a1,b1,c1.
if one root of the eqn ax2+bx+c=0 is reciprocal of one root of eqn a1x2+b1x+c1=0 then relation b/w a,b,c and a1,b1,c1
let m be a rootof the first eqn
then 1/m is the root of the second eqn
1... am^2+bm+c=0
2... a1/m^2 + b1/m +c1= 0
now eliminate m from both the eqn..
n u will get a relation in a,b,c,a1,b1,c1.