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If $f_k(x) = \large\frac{1}{k}$$(\sin^k x + \cos^k x)$, where $x\in R$ and $k \geq 1$. The $f_4(x) - f_6(x)$ equals
jeemain
math
class12
ch1
relations-and-functions
types
of
functions
jeemain-2014
q44
medium
asked
Apr 6, 2014
by
balaji.thirumalai
1
answer
If $a\in R$ and the equation $-3 (x-[x])^2 + 2(x-[x])+a^2 = 0$, (where $[x]$ denotes the greatest integer $\leq x$) has no integral solution, then all possible values lie in the interval:
jeemain
math
class12
ch1
relations-and-functions
jeemain-2014
types
of
functions
q33
medium
asked
Apr 6, 2014
by
balaji.thirumalai
0
answers
If a relation $R$ on the set $\{1,2,3\}$ is defined as $R=\{(1,2)\}$, then $R$ is
jeemain
math
class12
ch1
relations-and-functions
types
of
relations
easy
mock
asked
May 31, 2013
by
rvidyagovindarajan_1
1
answer
The number of bijection mappings that are possible from $Set \:A$ containing 5 elements to $Set\:B$ containing 6 elements is ?
jeemain
math
class12
ch1
relations-and-functions
types
of
functions
easy
asked
May 31, 2013
by
rvidyagovindarajan_1
1
answer
The maximum number of equivalence relations on the set $A=\{1,2,3\}$ is?
jeemain
math
class12
ch1
relations-and-functions
types
of
relations
easy
asked
May 31, 2013
by
rvidyagovindarajan_1
1
answer
Find the domain of $f(x)=\sqrt{cos(sinx)}+sin^{-1}\bigg(\large\frac{1+x^2}{2x}\bigg)$
jeemain
math
class12
ch1
relations-and-functions
types
of
functions
medium
asked
May 30, 2013
by
rvidyagovindarajan_1
1
answer
What type of set is "The set of poor students of a class"?
jeemain
math
class11
modelpaper
ch1
sets
types
of
easy
asked
May 30, 2013
by
rvidyagovindarajan_1
1
answer
Find the domain of $sin(log(\large\frac{\sqrt{4-x^2}}{1-x}))$
jeemain
math
class12
ch1
relations-and-functions
types
of
functions
easy
asked
May 30, 2013
by
rvidyagovindarajan_1
1
answer
The set that cannot be represented by roster form is:
jeemain
math
class11
ch1
sets
types
of
easy
asked
May 17, 2013
by
rvidyagovindarajan_1
1
answer
How is Null set represented in set builder form ?
jeemain
math
class11
ch1
sets
types
of
easy
asked
May 17, 2013
by
rvidyagovindarajan_1
1
answer
If $f:R\rightarrow S$ defined by $\:f(x)=\sin x-\sqrt3\; \cos x+1\;$ is onto function then $S$ = ?
jeemain
math
class12
ch1
relations-and-functions
types
of
functions
difficult
asked
May 4, 2013
by
rvidyagovindarajan_1
1
answer
If $A=\{1,2,3\}$ then the no. of relations in $A$ containing $(1,2)$ and $(1,3)$ which are reflexive and symmetric but not transitive is
jeemain
math
class12
ch1
relations-and-functions
types
of
relations
easy
asked
May 1, 2013
by
rvidyagovindarajan_1
1
answer
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