Home
Class 12
MATHS
If 2p^3 - 9pq + 27r = 0 then prove that ...

If `2p^3 - 9pq + 27r = 0` then prove that the roots of the equations ` rx^3 - qx^2 + px - 1 = 0` are in Н.Р.

Promotional Banner

Similar Questions

Explore conceptually related problems

If 2p^3 - 9pq + 27r = 0 then prove that the roots of the equations rx^3 - qx^2 + px - 1 = 0 are in H.P.

If the roots of the equation x^(3) - px^(2) + qx - r = 0 are in A.P., then

If the roots of the equation x^(3) - px^(2) + qx - r = 0 are in A.P., then

What is the condition that the roots of the equation x^3+ px^2 + qx + r = 0 are in G.P.

Show that the roots of the equation x^3 +px^2 +qx +r=0 are in G.P p^3 r= q^3

Show that the roots of the equation x^3 +px^2 +qx +r=0 are in H.P 2p^3 =9r (pq-3r)

Show that the roots of the equation x^3 +px^2 +qx +r=0 are in A.P 2p^3 - 9 pq + 27 r=0

Show that the roots of the equation x^3 +px^2 +qx +r=0 are in A.P 2p^3 - 9 pq + 27 r=0

If the roots of the equation x^(3) - px^(2) + qx - r = 0 are in A.P., then prove that, 2p^3 −9pq+27r=0

Show that the roots of the equation x^3 +px^2 +qx +r=0 are in H.P then 2q^3 =9r (pq-3r)