2024 CCHY P1 Q1
2024 CCHY P1 Q1
6 marks
- Given that the line \(y = 2x - k\) meets the curve \(y = \frac{k}{4}x^2 - 2kx + 1\), find the range of values of \(k\).[4]
- A student claimed that when \(k = -\frac{1}{2}\), the curve does not intersect the line. By showing your workings clearly, explain whether the statement is valid.[2]
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Answer:(i) \(k\le-\frac43\) or \(k\ge-1\) (ii) The statement is not valid because \(\Delta=\frac54>0\)
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