Class 12 Maths Relations and Functions Exercise 1.1
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Questions and Answers

In the given context, which property does the relation R={(x, y) : 3x - y = 0} satisfy?

  • Reflexive
  • Symmetric
  • Transitive (correct)
  • None of the above
  • For the relation R={(x, y) : y = x + 5 and x < 4}, which property is violated?

  • Reflexive
  • Symmetric (correct)
  • Transitive
  • None of the above
  • Which property is violated by the relation R={(x, y) : y is divisible by x} in the set A={1, 2, 3, 4, 5, 6}?

  • Reflexive
  • Symmetric
  • Transitive (correct)
  • None of the above
  • Which property is violated by the relation R={(x, y) : x - y is an integer} in the set of all integers?

    <p>Reflexive</p> Signup and view all the answers

    For the relation R={(x, y) : x is father of y}, which property does it satisfy?

    <p>None of the above</p> Signup and view all the answers

    If $y = \cos^{-1}(\frac{\sqrt{3}}{2})$, what is the principal value of $y$?

    <p>$\frac{\pi}{3}$</p> Signup and view all the answers

    What is the principal value of $\sin^{-1}(-2)$?

    <p>$-\frac{\pi}{6}$</p> Signup and view all the answers

    What is the principal value of $\csc^{-1}(2)$?

    <p>$\frac{\pi}{6}$</p> Signup and view all the answers

    If $y = \tan^{-1}(-1)$, what is the principal value of $y$?

    <p>$-\frac{\pi}{4}$</p> Signup and view all the answers

    What is the principal value of $y$ if $y = \cos^{-1}(-1/2)$?

    <p>$-\frac{5\pi}{6}$</p> Signup and view all the answers

    What is the principal value of $\sin^{-1}(-2)$?

    <p>$-\frac{\pi}{6}$</p> Signup and view all the answers

    If $y = \cos^{-1}\left(\frac{\sqrt{3}}{2}\right)$, what is the principal value of $y$?

    <p>$\frac{\pi}{3}$</p> Signup and view all the answers

    What is the principal value of $\csc^{-1}(2)$?

    <p>$\frac{\pi}{6}$</p> Signup and view all the answers

    If $y = \tan^{-1}(-1)$, what is the principal value of $y$?

    <p>$-\frac{\pi}{4}$</p> Signup and view all the answers

    What is the principal value of $y$ if $y = \tan^{-1}(1)$?

    <p>$\frac{\pi}{4}$</p> Signup and view all the answers

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