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  • how many times do they intersect

    rengaraj

    rengaraj

    @rengaraj-89Rrct
    Updated: Oct 25, 2024
    Views: 875
    Sir / Madam,
    My questions is,

    When the curves y = log10 x and y = x-1 are drawn in the x-y plane, how many times do they intersect for values x ? 1?

    Advance Thanks,
    R.Rengaraj
    {InfosysTrain-Q104 Pg26}
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Replies

  • Saandeep Sreerambatla

    Member • Jan 15, 2010

    Assuming to the base to be 10!

    y = log10x , for x= 1 , y= 1.
    for x = 10 , y = 2
    for x = 100 , y = 3.

    for other values of y viz. for x = 2 , y = 1.3 ,x = 3 y=1.47 so on until x = 10 the value lies below 2.


    y = x -1 for x=1 , y = 0
    x = 2 y =1 ,
    for x = 10 , y = 9


    So the two curves intersect only once at the value of x >2 and <3.

    Asssuming the logarithm is to the base 10.
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  • yadavundertaker mohit

    Member • Jan 15, 2010

    the curves will intersect two times....
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  • rengaraj

    Member • Jan 15, 2010

    Dear English-Scared & Yadavundertaker,
    Thanks for your explanatory answer.
    R.Rengaraj
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  • Saandeep Sreerambatla

    Member • Jan 17, 2010

    yadavundertaker
    the curves will intersect two times....

    Hey Yadav can you explain it ?

    I am a bit confused!!
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