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Thread: Length of subtangent, subnormal, tangent, and normal

  1. #1
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    Length of subtangent, subnormal, tangent, and normal

    Reviewing for my board exam ... Got no idea in solving this problem.

    Find the length of subtangent, subnormal, tangent and normal of $\displaystyle xy + 2x - y = 5$ at point (2,1)

    a. 1, 1 / 3, sqrt of 10 / 2, sqrt of 10
    b. 1, 3, 5, 7
    c. 1, 3, sqrt of 10 / 3, sqrt of 10
    d. -1 / 3, -3, sqrt of 10 / 3, sqrt of 10
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  2. #2
    MHF Contributor FernandoRevilla's Avatar
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    First step:

    Find the tangent and normal lines to the curve at $\displaystyle (2,1)$. You should respectively obtain:

    $\displaystyle x+y-3=0,\quad x-y-1=0$

    Regards.

    Fernando Revilla
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