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2023 VCE Maths Methods Mini Test 11

Adapted for Year 11. Unit 1 & 2.

Number of marks: 1

Reading time: 15 seconds

Writing time: 2 minutes

Section A Calculator Allowed
Instructions
• Answer all questions in pencil on your Multiple-Choice Answer Sheet.
• Choose the response that is correct for the question.
• A correct answer scores 1; an incorrect answer scores 0.
• Marks will not be deducted for incorrect answers.
• No marks will be given if more than one answer is completed for any question.
• Unless otherwise indicated, the diagrams in this book are not drawn to scale.


Question 1 [2023 Exam 2 Section A Q19]

Find all values of \( k \), such that the equation
\( x^2 + (4k + 3)x + 4k^2- \frac{9}{4} = 0 \)
has two real solutions for \( x \), one positive and one negative.

  • A. \( k > -\frac{3}{4} \)
  • B. \( k \geq -\frac{3}{4} \)
  • C. \( k > \frac{3}{4} \)
  • D. \( -\frac{3}{4} < k < \frac{3}{4} \)
  • E. \( k < -\frac{3}{4} \text{ or } k > \frac{3}{4} \)
Correct Answer: D
Click here for full solution

End of examination questions

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