Question

5 The equation of a curve is xy = 12 and the equation of a line l is 2x + y = k, where k is a constant. (i) In the case where k = 11, find the coordinates of the points of intersection of l and the curve. [3] (ii) Find the set of values of k for which l does not intersect the curve. [4] (iii) In the case where k = 10, one of the points of intersection is P (2, 6). Find the angle, in degrees correct to 1 decimal place, between l and the tangent to the curve at P. [4]

Answer 1

Step-by-step explanation:

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