Mathematics (AS & A Level) · May / June 2024 · Paper 11 · Question 10
9709
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The equation of a circle is ( ) x y 3 18 2 2 - + = . The line with equation y mx c = + passes through the point ( , ) 0 9 - and is a tangent to the circle. Find the two possible values of m and, for each value of m, find the coordinates of the point at which the tangent touches the circle. [8] 15
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