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Find Equation of Tangent to a Circle

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Find Equation of Tangent to a Circle  [#permalink]

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New post 12 Oct 2018, 18:20
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The centre of a Circle has coordinates (7,-2). Radius of the circle is \(\sqrt{5}\). What is the equation of the tangent to this circle if the point at which the tangent touches the circle lies in the first quadrant?
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Re: Find Equation of Tangent to a Circle  [#permalink]

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New post 12 Oct 2018, 20:51
nades341 wrote:
The centre of a Circle has coordinates (7,-2). Radius of the circle is \(\sqrt{5}\). What is the equation of the tangent to this circle if the point at which the tangent touches the circle lies in the first quadrant?


There can be infinite number of tangents which lie in the first quadrant in this case. Please check the attachment for more clarity.

You can find the one equation of a tangent if you know the single point of contact with the circle. But in this case there are infinite number of points which fall in the first quadrant so there is no Single answer to this question, in my opinion.
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GMAT Club Bot
Re: Find Equation of Tangent to a Circle   [#permalink] 12 Oct 2018, 20:51
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Find Equation of Tangent to a Circle

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