Use the information provided to write the standard form equation of each circle. Equation of a circle h a collection of 9 1 maths gcse sample and specimen questions from aqa ocr pearson edexcel and wjec eduqas.
1 calculate the distance op 2 hence write down the equation of the circle 3 calculate the equation of the tangent line qr.
Equation of a circle worksheet gcse. Visit the post for more. Videos worksheets 5 a day and much more. The point p lies on the circle and has coordinates 36 15.
Detailed typed answers are provided to every question. You need to be able to plot them as well as calculate the equation of tangents to them. Questions involving circle graphs are some of the hardest on the course.
Tell whether the point is on the circle inside the circle or outside the circle. Make sure you are happy with the following topics perpendicular lines equations of a straight line. Work out the coordinates of q.
I hope you find these usef. Gcse 9 1 exam questions 2017 specs solutions worksheet solutions. 1 8 x x2 2y 64 y2 x 4 2 y 1 2 81.
Circle graphs are another type of graph you need to know about. Create your own worksheets like this one with infinite algebra 2. 11 7 equations of circles 631 equation of a circle the equation of a circle is x 2 2 2 1 y 1 3 2 5 4.
Line qr is a tangent to the circle passing through the point p. The diagram shows the circle x2 y2 10 p lies on the circle and has x coordinate 1 the tangent at p intersects the x axis at q. The graph above shows a circle centred at the origin o.
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Equations of circles author. Answer the following questions. Maths revision video and notes on the topic of the equation of a circle.
A circle has equation x2 y2 4 circle.