2023 ACSBR AM S3 EOY Q7
2023 ACSBR AM S3 EOY Q7
Secondary 3
7 marks
- Explain why the graph of \(y = -4x^2 + 4kx - (k^2 + 1)\) lies entirely below the \(x\)-axis.[3]
- Find the range of values of \(k\) for which the line \(y = kx + 2\) meets the curve \(x^2 + y^2 = 2\).[4]
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Answer:(a) The graph lies entirely below the \(x\)-axis (b) \(k\leq-1\) or \(k\geq1\)
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