A-Level MathematicsYear 2020Q11
28 11. (i) A circle C1 has equation x2 + y2 + 18x – 2y + 30 = 0 The line l is the tangent to C1 at the point P(–5, 7). Find an equation of l in the form ax + by + c = 0, where a, b and c are integers to be found. (5) (ii) A different circle C2 has equation x2 + y2 – 8x + 12y + k = 0 where k is a constant. Given that C2 lies entirely in the 4th quadrant, find the range of possible values for k. (4) _____________________________________________________________________________________ _____________________________________________________________________________________ _____________________________________________________________________________________ _____________________________________________________________________________________ _____________________________________________________________________________________ _____________________________________________________________________________________ _____________________________________________________________________________________ _____________________________________________________________________________________ _____________________________________________________________________________________ _____________________________________________________________________________________ _____________________________________________________________________________________ _____________________________________________________________________________________ _____________________________________________________________________________________ _____________________________________________________________________________________ _____________________________________________________________________________________ _____________________________________________________________________________________ _____________________________________________________________________________________ _____________________________________________________________________________________ _____________________________________________________________________________________ _____________________________________________________________________________________ _____________________________________________________________________________________ _____________________________________________________________________________________ _____________________________________________________________________________________ _____________________________________________________________________________________
Paper Source:8MA0_01_que_20201008.pdf
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Exam Specification Info
This question is part of the UK A-Level Mathematics syllabus. In the actual exam, structured questions typically require linking specific keywords to gain full marks. Applaa helps you drill these topics.
Syllabus levelAdvanced Level (A-Level)
SubjectMathematics
Official MarksVariable (2–6 marks)