MYTUTOR SUBJECT ANSWERS

292 views

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

This question may start by giving you an equation, which you need to write in the form of the standard equation of a circle (usually by completing the square). This allows you to see the centre of the circle. As you now have two coordinates you can work out the gradient of the line between the centre of the circle and the given point on the circumference. As this line is perpendicular to the tangent on the circle, the gradient is the negative reciprocal. Now you know the gradient of the tangent and a point it crosses through, you can find the equation of the line by substituting these values into the standard equation of a line y=mx+c

Tom W. A Level Maths tutor, GCSE Maths tutor, GCSE Physics tutor

12 months ago

Answered by Tom, an A Level Maths tutor with MyTutor

Still stuck? Get one-to-one help from a personally interviewed subject specialist

175 SUBJECT SPECIALISTS

£26 /hr

Matthew D.

Degree: Maths and Philosophy (Masters) - Durham University

Subjects offered: Maths, Further Mathematics

Maths
Further Mathematics

“ I will make sure I am familiar with your specific exam board, and questions beyond this can of course be pursued in a tutorial too”

£20 /hr

Anahita G.

Degree: Maths and Economics (Bachelors) - York University

Subjects offered: Maths, Science+ 3 more

Maths
Science
Economics
Chemistry
.TSA. Oxford.

“I am a maths and economics student at the University of York. I have always loved logical and analytical subjects, for example Maths and the Sciences. I also particularly enjoy economics as there are countless ways to analyse and conc...”

£20 /hr

Raimonds B.

Degree: Architecture (Bachelors) - Bath University

Subjects offered: Maths, Physics

Maths
Physics

“I am a first year Architecture student, as well as a well experienced tutor. I have tutored GCSE and A Level Mathematics and Physics for over two years, and have 5 star reviews on First Tutors. I have an exam based approach to revision...”

MyTutor guarantee

About the author

Tom W.

Currently unavailable: until 28/05/2016

Degree: General Engineering (Masters) - Durham University

Subjects offered: Maths, Physics

Maths
Physics

“Hi, I’m Tom, an Engineering student studying at Durham University.  I’ve always enjoyed the logical world of Maths and Physics and I hope I can teach you what I have learnt along the way, toboost your understanding and make complicate...”

MyTutor guarantee

You may also like...

Posts by Tom

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

What is the largest possible length of a pole you could fit in a room?

Why does your hair stand on end when you touch a Van de Graaff generator?

Other A Level Maths questions

How do you find the minimum of the equation sin^2(x) + 4sin(x)?

Differentiate x^2

How would you solve (2x+16)/(x+6)(x+7) in partial fractions?

How do I use the product rule for differentiation?

View A Level Maths tutors

Cookies:

We use cookies to improve our service. By continuing to use this website, we'll assume that you're OK with this. Dismiss

mtw:mercury1:status:ok