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Mathematics (AS & A Level) · Oct / Nov 2016 · Paper 12 · Question 5

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The line x a + y b = 1, where a and b are positive constants, intersects the x- and y-axes at the points A and B respectively. The mid-point of AB lies on the line 2x + y = 10 and the distance AB = 10. Find the values of a and b. [6]

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