15 Questions
In the given context, which property does the relation R={(x, y) : 3x - y = 0} satisfy?
Transitive
For the relation R={(x, y) : y = x + 5 and x < 4}, which property is violated?
Symmetric
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}?
Transitive
Which property is violated by the relation R={(x, y) : x - y is an integer} in the set of all integers?
Reflexive
For the relation R={(x, y) : x is father of y}, which property does it satisfy?
None of the above
If $y = \cos^{-1}(\frac{\sqrt{3}}{2})$, what is the principal value of $y$?
$\frac{\pi}{3}$
What is the principal value of $\sin^{-1}(-2)$?
$-\frac{\pi}{6}$
What is the principal value of $\csc^{-1}(2)$?
$\frac{\pi}{6}$
If $y = \tan^{-1}(-1)$, what is the principal value of $y$?
$-\frac{\pi}{4}$
What is the principal value of $y$ if $y = \cos^{-1}(-1/2)$?
$-\frac{5\pi}{6}$
What is the principal value of $\sin^{-1}(-2)$?
$-\frac{\pi}{6}$
If $y = \cos^{-1}\left(\frac{\sqrt{3}}{2}\right)$, what is the principal value of $y$?
$\frac{\pi}{3}$
What is the principal value of $\csc^{-1}(2)$?
$\frac{\pi}{6}$
If $y = \tan^{-1}(-1)$, what is the principal value of $y$?
$-\frac{\pi}{4}$
What is the principal value of $y$ if $y = \tan^{-1}(1)$?
$\frac{\pi}{4}$
Test your understanding of relations and functions with NCERT solutions for Class 12 Maths Chapter 1. Determine the properties of given relations including reflexive, symmetric, and transitive.
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