Home
Class 12
MATHS
[" If the roots of the cubic "x^(3)-px^(...

[" If the roots of the cubic "x^(3)-px^(2)+qx-r=0" are in G.P.then "],[[" (A) "q^(3)=p^(3)r," (B) "p^(3)=q^(3)r," (C) "pq=r]]

Promotional Banner

Similar Questions

Explore conceptually related problems

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

If zeros of x^(3)-3px^(2)+qx-r are in A.P. then

If the roots of the equation px^(2)+qx+r=0 are in the ratio l:m then

The condition that the roots of x^(3)px^(2)+qx-r=0 may be in G.P. is

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 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 then 2q^3 =9r (pq-3r)

If (a)/(k),a, ak are the roots of x^(3)-px^(2)+qx-r=0 then a=

If the roots of x^(3)+px^(2)+qx+r=0 are in GP find the relation between p,q and r