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# Find Equation of Tangent to a Circle

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Intern
Joined: 12 Oct 2018
Posts: 1
Find Equation of Tangent to a Circle  [#permalink]

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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?
Intern
Joined: 26 Dec 2017
Posts: 40
Location: India
Concentration: Technology, Marketing
WE: General Management (Internet and New Media)
Re: Find Equation of Tangent to a Circle  [#permalink]

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12 Oct 2018, 20:51
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.
Attachments

Capture.PNG [ 2.42 KiB | Viewed 95 times ]

Re: Find Equation of Tangent to a Circle   [#permalink] 12 Oct 2018, 20:51
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