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  3. CET Karnataka Engineering

CET Karnataka Engineering CET - Karnataka Engineering Solved Paper-2001

  • question_answer
    If \[x,l,z\]are in A.P. and \[x,2,z\]are in G.P. the \[x,4,z\]are in:

    A)  A.P.                                      

    B)  G.P.

    C)  H.P.                                      

    D)  none of these

    Correct Answer: C

    Solution :

    \[x,1,z\]are A.P \[\Rightarrow 2=x+z\]\[x,2,z\]are in G.P \[\Rightarrow 4=xz\]                    ?(i) Since (i) does not satisfy \[8=x+z\]and \[16=xz\]but it satisfies \[8=\frac{2xz}{z+x}.\] Therefore \[x,4,z\]are in H.P


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