Mathematics Class Quiz
18 Questions
0 Views

Choose a study mode

Play Quiz
Study Flashcards
Spaced Repetition
Chat to lesson

Podcast

Play an AI-generated podcast conversation about this lesson

Questions and Answers

What is the value of n in the equation 125n = 14810?

  • 11 (correct)
  • 13
  • 12
  • 14
  • What is the cartesian equation obtained by eliminating t from the equations x = t - 5 and y = t^2?

  • x = (y + 5)^2
  • x = (y - 5)^2
  • y = (x - 5)^2
  • y = (x + 5)^2 (correct)
  • If a matrix A has no inverse, what is the condition its determinant needs to satisfy?

  • Determinant must be negative
  • Determinant must be positive
  • Determinant must be zero (correct)
  • Determinant must be equal to 1
  • For which of the following values of x does the matrix A = [[2, 1], [x, 3]] have no inverse?

    <p>1 (D)</p> Signup and view all the answers

    What is the value of the derivative of the function y = 2x^2 - 4x + 3 at the point x = 2?

    <p>8 (B)</p> Signup and view all the answers

    In the expression (tan45° + tan60°)/(1 - tan45°tan60°), what is the value of the expression?

    <ul> <li>2 - √3 (C)</li> </ul> Signup and view all the answers

    What is the cartesian equation obtained by eliminating t from the equations x = t^2 and y = 2t - 3?

    <p>(y + 3)^2 = 4x (C)</p> Signup and view all the answers

    Find the equation of the tangent line to the curve y = 2x^2 - 4x + 3 at the point x = 2.

    <p>y = 4x - 5 (D)</p> Signup and view all the answers

    Express the number 15 as the difference of two squares.

    <p>16 - 1 (A)</p> Signup and view all the answers

    What is the value of the expression: x^3 - 2x^2 + 3x when x = 3?

    <p>16 (C)</p> Signup and view all the answers

    Which of the following points lies on the curve represented by the equation x^2/9 + y^2/16 > 1?

    <p>(3, 4) (C)</p> Signup and view all the answers

    What is the value of (\sqrt{3} * \sqrt{5}) based on the binary operation defined by (a * b = a^2 + b^2 - 2ab)?

    <p>4 (D)</p> Signup and view all the answers

    Which of the following expressions represents the difference of two squares for the number 21?

    <p>25 - 4 (D)</p> Signup and view all the answers

    Which of the following lines is perpendicular to the line represented by (x = 5 - 4y)?

    <p>y = -\frac{1}{4}x + 5 (A)</p> Signup and view all the answers

    What is the value of (cos(2A)) if (sin(2A) = \frac{1}{2})?

    <p>1 (D)</p> Signup and view all the answers

    Which of the following pairs of equations represents perpendicular lines?

    <p>3x + 5y = -10 and 5x - 3y = 10 (A)</p> Signup and view all the answers

    What is the value of (cos(A + B)) if (cos(A) = \frac{3}{5}) and (sin(B) = \frac{12}{13}) and both angles A and B are in the first quadrant?

    <p>(\frac{56}{65}) (C)</p> Signup and view all the answers

    Which of the following statements is true about the lines with equations (x + 2y = -5) and (2x + y = 5)?

    <p>The lines are perpendicular. (C)</p> Signup and view all the answers

    Study Notes

    Topic Not Found

    • No specific topic provided to generate study notes for. Please provide the text or questions.

    Studying That Suits You

    Use AI to generate personalized quizzes and flashcards to suit your learning preferences.

    Quiz Team

    Related Documents

    Prelim 23 Past Paper PDF

    Description

    Test your knowledge with this comprehensive mathematics quiz. Covering topics such as equations, matrices, derivatives, and tangent lines, it challenges you with a variety of problems. Perfect for high school students looking to reinforce their understanding of key mathematical concepts.

    Use Quizgecko on...
    Browser
    Browser