1 votes 1 votes The condition that ensures that the roots of the equation $x^{3}-px^{2}+qx-r=0$ are in H.P. is $r^{2}-9pqr+q^{3}=0$ $27r^{2}-9pqr+3q^{3}=0$ $3r^{3}-27pqr-9q^{3}=0$ $27r^{2}-9pqr+2q^{3}=0$ Quantitative Aptitude isi2016-dcg quantitative-aptitude quadratic-equations roots + – gatecse asked Sep 18, 2019 • recategorized Nov 18, 2019 by Lakshman Bhaiya gatecse 230 views answer comment Share Follow See 1 comment See all 1 1 comment reply Lakshman Bhaiya commented Oct 26, 2019 reply Follow Share see here,same question https://gateoverflow.in/321195/isi2015-dcg-29 0 votes 0 votes Please log in or register to add a comment.