Quadratic Equations 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 $\sin^{-1} x + \cos^{-1} x$?

  • $\frac{3\pi}{2}$
  • $\pi$
  • $\frac{\pi}{2}$ (correct)
  • $2\pi$

If $A = \sin^{-1} x$ and $B = \cos^{-1} x$, then what is the value of $A + B$?

  • $\frac{3\pi}{2}$
  • $\pi$
  • $\frac{\pi}{2}$ (correct)
  • $2\pi$

What is the value of $\tan^{-1} x + \cot^{-1} x$?

  • $\pi$
  • $\frac{3\pi}{2}$
  • $2\pi$
  • $\frac{\pi}{2}$ (correct)

If $A = \tan^{-1} x$ and $B = \cot^{-1} x$, then what is the value of $A + B$?

<p>$\frac{\pi}{2}$ (A)</p> Signup and view all the answers

What is the value of $\sin(\sin^{-1} x)$?

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

What is the value of $\cos(\cos^{-1} x)$?

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

What is the sum of the roots of the quadratic equation ax² - bx - c = 0, where a ≠ 0?

<p>-b/a (D)</p> Signup and view all the answers

If α and β are the roots of the quadratic equation 3x² - 2x + 4 = 0, what is the value of α + β?

<p>3 (D)</p> Signup and view all the answers

What is the condition for the roots of the quadratic equation ax² + bx + c = 0, where a ≠ 0, to be real?

<p>Disc ≥ 0 (C)</p> Signup and view all the answers

What is the shape of the graph of a quadratic equation?

<p>Parabola (A)</p> Signup and view all the answers

What is the degree of the quadratic equation ax² + bx + c = 0, where a ≠ 0?

<p>2 (D)</p> Signup and view all the answers

What is the domain of the function 𝒚 = 𝑪𝒐𝒔−𝟏 𝒙?

<p>(-1, 1) (C)</p> Signup and view all the answers

What is the process of synthetic division used for?

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

What is the range of the function 𝒚 = 𝑺𝒊𝒏 𝒙?

<p>[-π/2, π/2] (A)</p> Signup and view all the answers

What is the inverse of the function 𝒚 = 𝑪𝒐𝒔 𝒙?

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

What is the value of 𝑺𝒊𝒏 (𝑺𝒊𝒏−𝟏 𝟐)?

<p>1/2 (D)</p> Signup and view all the answers

What is the domain of the function 𝒚 = 𝑻𝒂𝒏−𝟏 𝒙?

<p>(-∞, -1] ∪ [1, ∞) (B)</p> Signup and view all the answers

What is the range of the function 𝒚 = 𝑪𝒐𝒕−𝟏 𝒙?

<p>[-π/2, π/2] (C)</p> Signup and view all the answers

More Like This

Algebra Quiz: Quadratic Equations
10 questions
Algebra Class: Quadratic Equations
5 questions
Use Quizgecko on...
Browser
Browser