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4. Find the values of z for which the line y = z − 6x and the curve y = x(2x + z) never meet.
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[5]
5. The curve x + y = 1 + xy cuts the line 2x − y = k at two distinct points. Find the set of values
2
2
of k.
[5]
6. The curve xy + y = x + 11 intersects the line y = 2x − 1 at points P and Q. Find the equation
2
2
of the perpendicular bisector of the line PQ.
= – 1
2
[8]
Cambridge IGCSE
TM
14 Ace Your Additional Mathematics
Chapter 2 Add Math (13 to 21).indd 14 14/03/2022 12:16 PM
