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If p,q,r are in G.P then p/q=q/r (True/F...

If p,q,r are in G.P then `p/q=q/r` (True/False)

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The correct Answer is:
True
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Knowledge Check

  • If p, q, r are in GP and a^(p) = b^(q) = c^(y) , then which of the following is true?

    A
    `log_(c )b = log_(a)c`
    B
    `log_(c )b = log_(b)a`
    C
    `log_(c )a = log_(b)c`
    D
    None of these

  • If pth, qth, rth and sth terms of an A.P. are in G.P. then p-q, q-r, r-s are in:

    A
    A.P.
    B
    G.P.
    C
    H.P.
    D
    none

  • If pth , qth, rth and sth terms of an A.P. and in G.P then p-q, q-r , r-s are in :

    A
    a. A.P.
    B
    b. G.P.
    C
    c. H.P.
    D
    d. none of these

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    If p,q and r are in AP,then prove that (p+2q-r)(2q+r-p)(r+p-q)=4pqr

    If p,q,r are in G.P and tan^(-1)p,tan^(-1)q,tan^(-1)r are in A.P then p,q,r satisfies the relation

    If p,q,r,s are proportional then ((p-q)(p-r))/(p)=

    If p, q, r are not in G.P. and |[1,q/p,alpha+q/p],[1,r/p,alpha+r/q],[palpha+q,qalpha+r,0]|=0 Show that palpha^2+2qalpha+r=0

    If p,q,r are in A.P. while x,y,z are in G.P., prove that x^(q-r)y^(r-p)z^(p-q)=1

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