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Math Help - tagent of a normal question

  1. #1
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    tagent of a normal question

    Show that every normal to the curve will always pass through the point (0,0).


    I have no idea how to approach this question. Could someone explain it to me please?

    Thank you!
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  2. #2
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    If you are allowed to demonstrate this graphically, you'll see that the function is a circle with center at the origin and radius a.
    So at every point on the circle, the normal (line perpendicular to the tangent at point (a, f(a))) , will pass through the origin.
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  3. #3
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    ah i didnt recognize the equation. thank you !
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