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    I wanted to ask when would you inverse a gradient to make a line equation.
    So if its perpendicular you do -1/m also when it it to the normal or tangent you do -1/m, but in parrallel you leave the gradient as is??????????
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    (Original post by MyNameIsJeff)
    I wanted to ask when would you inverse a gradient to make a line equation.
    So if its perpendicular you do -1/m also when it it to the normal or tangent you do -1/m, but in parrallel you leave the gradient as is??????????
    Tangent to a curve and normal to a circle= same gradient.
    Tangent to a circle and normal to a curve= reciprocal.
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    (Original post by Jakz007)
    Tangent to a curve and normal to a curve= same gradient.
    Tangent to a circle and normal to a curve= reciprocal.
    is what i wrote in correct or is that wrong?????/
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    (Original post by MyNameIsJeff)
    is what i wrote in correct or is that wrong?????/
    Say we have a point on a curve of gradient m

    The tangent to the curve at this point will also have gradient m

    However, the gradient of the line perpendicular to this point will have gradient -1/m

    In order to test whether or not to lines are perpendicular, when you multiply their gradients by each other you should get -1, if you do not then they are not perpendicular i.e.

    m(1) = 2
    m(2) = -1/2

    2*(-1/2)= -1 therefore perpendicular

    m(1) = 1/4
    m(2)= 4

    (1/4)*4 = 1 therefore not perpendicular.
 
 
 
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