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CBSE XII
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Relations and Functions
Number of binary operations on the set \(\{a, b\}\) are
$\begin{array}{1 1} 10 \\ 16 \\ 20 \\ 8 \end{array}$
cbse
class12
bookproblem
ch1
misc
q19
p31
sec-a
math
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asked
Nov 27, 2012
by
vaishali.a
edited
Apr 4, 2016
by
meena.p
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1 Answer
The number binary operation defined by * from $\{(a,a)(a,b),(b,a),(b,b)\} \to \{a,b\}$ is $ 2^4=16$
The correct answer is B
answered
Mar 1, 2013
by
meena.p
edited
Mar 20, 2013
by
balaji.thirumalai
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Related questions
Let \(f : R \to R\) be the Signum Function defined as \[ f(x) = \left \{ \begin {array} {1 1} 1, & \quad \text { x $>$ 0} \\ 0, & \quad \text { x $=$0} \\-1, & \quad \text { x $<$0} \\ \end {array} \right. \] and \(g:R \to R\) be the greatest Integer Function given by \(g(x)=[x]\) where \([x]\) is a greatest integer less thar or equal to \(x\) Then, does \(fog\) and \(gof\) coincide in \((0,1]\)?.
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