Normals with no point

hi all,

Im not too sure how to answer this question:

Find the equations of the normals to the curve xy=3 which are parallel to the line 3x - y - 2 = 0

obviously the equations need to be



but how do you solve for c?

presumably you need to find the gradient function ie


do you set



thanks
sammy

Quote:

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Originally Posted by sammy28

hi all,

Im not too sure how to answer this question:

Find the equations of the normals to the curve xy=3 which are parallel to the line 3x - y - 2 = 0

obviously the equations need to be



but how do you solve for c?

presumably you need to find the gradient function ie


do you set



thanks
sammy

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1. The given line has the equation

2. If the normal to the curve has the slope m = 3 then the curve must have the gradient

3. That means

4. The normals with m = 3 have to pass through the points P(-3, -1) and Q(3, 1).

Use the point-slope-formula of the straight line to get their equations.

5. The given line: green. The 2 normals in red:

thanks earboth (Clapping)

why is it so obvious when your shown the steps (Hi).

Using , i see that

cheers
sammy