Finding Equations of Tangents to a Circle

This video tutorial explains how to find the equation of a tangent to a circle. It begins with an introduction to tangents and the setup of an example problem. The video then covers the circle equation and how to calculate the radius. A three-step process is detailed for finding the tangent equation, including calculating the gradient of the radius and tangent. The tutorial concludes with solving the tangent equation and encouraging practice.

What is the definition of a tangent to a circle?

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What is the general format of the equation of a circle?

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How do you find the equation of a tangent to a circle at a given point?

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Explain the three-step process to find the equation of a tangent.

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What is the significance of the gradient of the radius in relation to the tangent?

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How do you calculate the gradient of a tangent using the gradient of the radius?

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What is the final equation of the tangent at the point (3,4) for the given circle?

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