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Recent questions tagged class11

If $f(x) $ is polynomial and $f(x).f(\large\frac{1}{x})$$=f(x)+f(\large\frac{1}{x})$ and $f(3)=28 $ then find $f(4)$

asked May 30, 2013 by rvidyagovindarajan_1

1 answer

If $f(x)=coslogx$ then $f(x^2).f(y^2)-\large\frac{1}{2}$ $(f(\large\frac{x^2}{y^2})$$+f(x^2y^2))= ?$

asked May 29, 2013 by rvidyagovindarajan_1

1 answer

What is range of $f(x)=^{7-x}P_{x-3}$

asked May 28, 2013 by rvidyagovindarajan_1

1 answer

If $f:Z\rightarrow Z $ is defined as $f(x)=x^2+ax+b$ then the values of $a$ and $b$ are ?

asked May 27, 2013 by rvidyagovindarajan_1

1 answer

The Domain of $f(x)=\large^{7-x}P_{x-3}$ is ?

asked May 25, 2013 by rvidyagovindarajan_1

1 answer

Which of the following is not a function in R, the set of real numbers ?

asked May 21, 2013 by rvidyagovindarajan_1

1 answer

If $A=\{1,2,3\}$ and $B=\{2,3,4,9\}$, then which of the following is a function $f:A \;\rightarrow \;B$ ?

asked May 21, 2013 by rvidyagovindarajan_1

1 answer

$A\cap (A\cap B)'$ = ?

asked May 21, 2013 by rvidyagovindarajan_1

1 answer

If $A=\{x:x\in R\:\:and\:\:x\geq 4\}$ and $B=\{x:x\in R\:and\:x< 5\}$, then $A\cap B$ = ?

asked May 21, 2013 by rvidyagovindarajan_1

1 answer

If $A=\{1,3,5,B\}$ and $B=\{2,4\}$, then which of the following is true ?

asked May 21, 2013 by rvidyagovindarajan_1

1 answer

$A\cap (A\cup B)$ = ?

asked May 21, 2013 by rvidyagovindarajan_1

1 answer

If $f(x)=\large\frac{4^x}{4^x+2}$ then which among the following is correct ?

asked May 21, 2013 by rvidyagovindarajan_1

1 answer

Which of the given functions is an odd function ?

asked May 18, 2013 by rvidyagovindarajan_1

1 answer

If $S_1=\{1,2,...................20\}$, $S_2=\{a,b,c,d,e\}$, $S_3=\{a,c,e,f\}$, then no. of elements of $(S_1\times S_2)\cap (S_1\times S_3)$ is ?

asked May 18, 2013 by rvidyagovindarajan_1

1 answer

The set that cannot be represented by roster form is:

asked May 17, 2013 by rvidyagovindarajan_1

1 answer

How is Null set represented in set builder form ?

asked May 17, 2013 by rvidyagovindarajan_1

1 answer

If $A\cap B=B$ then what can you say about $A$ and $B $?

asked May 17, 2013 by rvidyagovindarajan_1

1 answer

If $A\cup B=A,\:\:$ then what can you say about $A$ and $B$?

asked May 17, 2013 by rvidyagovindarajan_1

1 answer

Range of $f(x)=\large\frac{|x|}{x}$ is ?

asked May 17, 2013 by rvidyagovindarajan_1

1 answer

Domain of $y=log(1+x)$ is ?

asked May 17, 2013 by rvidyagovindarajan_1

1 answer

If $A,B\:and\: C$ are three finite sets, then $[(A\cup B)\cap C]' $ = ?

asked May 15, 2013 by rvidyagovindarajan_1

1 answer

How many proper subsets are there for a set having 5 elements ?

asked May 15, 2013 by rvidyagovindarajan_1

1 answer

If $V=\{x:\:x+2=0\}$, $\:R=\{x:\:x^2+2x=0\}$ and $\:\:S=\{x:\:x^2+x-2=0\}$, then for what value of $x$, $V=R=S$ ?

asked May 15, 2013 by rvidyagovindarajan_1

1 answer

If $f=\{(1,5),(2,6),(3,4)\}$ and $g=\{(4,7),(5,8),(6,9)\}$, then $gof$ = ?

asked May 15, 2013 by rvidyagovindarajan_1

1 answer

If $[2x-3]=5$, what are the values of $x$ where $[.]$ is greatest integer function

asked May 8, 2013 by rvidyagovindarajan_1

1 answer

If $f(x)=log\bigg(\large\frac{1+x}{1-x}\bigg)$, then $f(x)+f(y)$ = ?

asked May 8, 2013 by rvidyagovindarajan_1

1 answer

If $f:R\rightarrow R$ is a function defined as $f(2x+3)+f(2x+7)=2$ $\forall x\in R$ then the period of $f(x)$ is

asked May 7, 2013 by rvidyagovindarajan_1

1 answer

The range of the real valued function $f(x)=\large\frac{x^2+x+2}{x^2+x+1}$ is

asked May 7, 2013 by rvidyagovindarajan_1

1 answer

If $A\:and\:B$ are two sets such that $(A-B)\cup B=A$, then what can you say about $A\:and\:B$?

asked May 4, 2013 by rvidyagovindarajan_1

1 answer

What is the domain of $f(x)=\large\frac{[x]+1}{[x]-1}$ where $[x]$ is greatest integer function

asked May 1, 2013 by rvidyagovindarajan_1

1 answer

The no. of subsets of a finite set A is 56 more than the no. of subsets of another finite set B. What is the no. of elements of A?

asked May 1, 2013 by rvidyagovindarajan_1

1 answer

The domain of $sin^{-1}\big[log_3(\large\frac{x}{3})\big]$ is

asked Apr 29, 2013 by rvidyagovindarajan_1

1 answer

If $ A=\{x\;/\;x\in\:N, \: $ and $\:x$ is a multiple of $3$ $\leq100\}$ and $B=\{x/x\in\:N\:$ and $\:x$ is multiple of $5$ $\leq\:100\}$, then no. of elements in $(A\times\:B)\cap\:(B\times\:A)\:is$

asked Apr 29, 2013 by rvidyagovindarajan_1

1 answer

If $ S $ is a set having 10 elements in it and $A$ is a relation in $S$ defined as $A=\{(x,y)$, where $ x,y \in\:S\;$ and $\;x\neq\;y.\}$, then no. of elements in $A$ is

asked Apr 29, 2013 by rvidyagovindarajan_1

1 answer

The range of $f (x)=\large\frac{1+x^2}{x^2}$ is

asked Apr 28, 2013 by rvidyagovindarajan_1

1 answer

If the set $S={1,2,3...........12}$ is to be partitioned into $3$ sets $A,B,C$ of equal size so that $A\cup B\cup C=S$ and $A\cap B=B\cap C=C\cap A=\phi$, then the no. of ways the partition can be done is

asked Apr 26, 2013 by rvidyagovindarajan_1

1 answer

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