The condition that the root of are in H.P

MATHEMATICS · Single correct · ISC · Mathematics · Algebra · Algebra

Problem

The condition that the root of x3+3px2+3qx+r=0x^3 + 3px^2 + 3qx + r = 0 are in H.P. is: (a) 2p3−3pqr+r2=02p^3 - 3pqr + r^2 = 0 (b) 3p3−2pqr+p2=03p^3 - 2pqr + p^2 = 0 (c) 2q3−3pqr+r2=02q^3 - 3pqr + r^2 = 0 (d) r3−3pqr+2q3=0r^3 - 3pqr + 2q^3 = 0

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