I would be gratefull if anybody can help me on this problem.

Plot the curve y = 1/2X ^ 2 and decide the equation for the

normal lines which can be drawn to the curve from the point (0,9).

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- Dec 30th 2010, 06:40 AMhejmhNormal on a curve
I would be gratefull if anybody can help me on this problem.

Plot the curve y = 1/2X ^ 2 and decide the equation for the

normal lines which can be drawn to the curve from the point (0,9). - Dec 30th 2010, 07:24 AMsnowtea
Consider a line $\displaystyle l$ from $\displaystyle (0,9)$ to a point on the curve $\displaystyle (a, \frac{1}{2}a^2)$.

Find the slope.of the tangent line $\displaystyle l'$ to the curve at $\displaystyle x=a$.

Check when $\displaystyle l$ is perpendicular to $\displaystyle l'$ using slope.