1 1 vote 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 462 views answer comment Share Follow Print See 1 comment 1 1 comment reply Lakshman Bhaiya commented Oct 26, 2019 reply Follow flag see here,same question https://gateoverflow.in/321195/isi2015-dcg-29 0 0 replyShare Please log in or register to add a comment.