O is the centre of a circle. P is a point on its circumference. the gradiant of OP is 2. what is the gradient of tangent P.

can i also please have an explanation

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- Oct 22nd 2008, 07:58 AMsallyishypertangents.urgent!!!!!!!!
O is the centre of a circle. P is a point on its circumference. the gradiant of OP is 2. what is the gradient of tangent P.

can i also please have an explanation - Oct 22nd 2008, 08:45 AMSoroban
Hello, sallyishyper!

Quote:

$\displaystyle O$ is the centre of a circle. $\displaystyle P$ is a point on its circumference.

The gradient of $\displaystyle OP$ is 2.

What is the gradient of the tangent at $\displaystyle P.$

We are expected to know this theorem:

*The tangent to a circle is*__perpendicular__to the radius to the point of tangency.

If the gradient of the radius is 2, then the gradient of the tangent is __ ?

- Oct 22nd 2008, 08:49 AMmasters