These Year 11 equation of a circle and tangents multiple choice questions check your understanding of equation of a circle and tangents with 10 questions for pupils aged 15-16. Each question has four answers, and the right one is explained as soon as you choose.
Year 11 equation of a circle and tangents multiple choice questions: the 10 questions
(Higher) What is the equation of the circle with centre the origin and radius 4?
(Higher) What is the radius of \(x^2+y^2=49\)?
(Higher) Which point is on \(x^2+y^2=25\)?
(Higher) The point \((2,3)\) and the circle \(x^2+y^2=16\). The point is
(Higher) A tangent to a circle is ... to the radius at the point of contact.
(Higher) The radius to a point has gradient 2. The tangent there has gradient
(Higher) The tangent to \(x^2+y^2=9\) at \((0,3)\) is
(Higher) Solving a line with a circle gives a quadratic with one repeated root. The line is
(Higher) The circle passes through \((6,8)\), centre origin. Its equation is
(Higher) The tangent to \(x^2+y^2=25\) at \((3,4)\) has gradient
How to use these Year 11 equation of a circle and tangents multiple choice questions
First, read each question carefully before you look at the four answers. Then work the answer out on paper, so that you do not simply guess. After that, read the explanation, even when you are right. If you score less than 7 out of 10, go back to the equation of a circle and tangents lesson.
Finally, practise more with the equation of a circle and tangents worksheet and the quiz. Moreover, all the pages of this chapter work together, so you can move between them at any time. For example, many pupils read the lesson on Monday, practise on Wednesday and test themselves on Friday.
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LessonEquation of a circle and tangents – Year 11 GCSE maths revision notes to download as PDF
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AnswersEquation of a circle and tangents – Year 11 GCSE maths worksheet answers to download as PDF
QuizEquation of a circle and tangents – Year 11 GCSE maths quiz to download as PDF
TestEquation of a circle and tangents – Year 11 GCSE maths test to download as PDF
Test answersEquation of a circle and tangents – Year 11 GCSE maths test answers to download as PDF
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