Updated 4/3/2017 - typo errors corrected on page 1 of solutions, part b. Updated 8/3/2017 - extra exercise added to question 1) b); solution on page 1a.
This worksheet has two problems involving circles centred on the origin. The first problem requires the equation of a tangent line to be deduced. The second problem requires a set of simultaneous equations to be set up to find the x and y co-ordinates where the line cuts the circle. When combined these form a quadratic equation. The equation will not factorise, so completing the square method or the Quadratic Formula must be used to solve it. DOCX and PDF worksheets supplied along with 3-page written solution in JPG format.
This worksheet has two problems involving circles centred on the origin. The first problem requires the equation of a tangent line to be deduced. The second problem requires a set of simultaneous equations to be set up to find the x and y co-ordinates where the line cuts the circle. When combined these form a quadratic equation. The equation will not factorise, so completing the square method or the Quadratic Formula must be used to solve it. DOCX and PDF worksheets supplied along with 3-page written solution in JPG format.
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