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Questions asked by rvidyagovindarajan_1
Questions
870
questions
0
answers selected
The inverse of $f(x)=x-[x],$ where $[x]$ is greatest integer function is
jeemain
math
class12
ch1
relations-and-functions
composition
of
functions
difficult
asked
May 2, 2013
2
answers
What is the inverse of the function $f(x)=\large\frac{e^x-e^{-x}}{e^x+e^{-x}}$
jeemain
math
class12
ch1
relations-and-functions
composition
of
functions
medium
asked
May 2, 2013
1
answer
What is the domain of $f(x)=\large\frac{[x]+1}{[x]-1}$ where $[x]$ is greatest integer function
jeemain
math
class11
ch2
relations-and-functions
functions
easy
asked
May 1, 2013
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?
jeemain
math
class11
ch1
sets
subsets-universal-sets-and-power-sets
medium
asked
May 1, 2013
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
1
answer
If * is binary operation defined in N as a*b=$a^3+b^3$ then * is
jeemain
math
class12
ch1
relations-and-functions
binary-operations
easy
asked
May 1, 2013
1
answer
If n(A) = 4, n(B) = 6, then the number of 1-1 functions from A to B is
jeemain
math
class12
ch1
relations-and-functions
types-of-functions
medium
asked
May 1, 2013
1
answer
Find the angle between the following pair of lines: $ \frac{\large x}{\large 2} = \frac{\large y}{\large 2} = \frac{\large z}{\large 1} \: and\: \frac{\large x-5}{\large 4} = \frac{\large y-2}{\large 1} = \frac{\large z - 3}{\large 8} $
cbse
class12
ch11
bookproblem
easy
p478
sec2
q11-2
sec-b
math
asked
May 1, 2013
1
answer
Find the angle between the pairs of lines: $ \overrightarrow r = 3\hat i + \hat j - 2\hat k + \lambda (\hat i - \hat j - 2\hat k)\: and \: \overrightarrow r = 2\hat i - \hat j - 56\hat k + \mu (3\hat i - 5\hat j - 4\hat k) $
cbse
bookproblem
class12
ch11
sec2
p478
q10-2
easy
sec-b
q10
math
asked
Apr 30, 2013
1
answer
The domain of $sin^{-1}\big[log_3(\large\frac{x}{3})\big]$ is
jeemain
math
class11
ch2
relations-and-functions
functions
difficult
asked
Apr 29, 2013
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 $(A\times\:B)\cap\:(B\times\:A)\:is$
jeemain
math
class11
ch1
sets
venn-diagram-and-operations
easy
asked
Apr 29, 2013
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
jeemain
math
class11
ch2
relations-and-functions
relations
easy
asked
Apr 29, 2013
1
answer
The range of $f (x)=\large\frac{1+x^2}{x^2}$ is
jeemain
math
class11
ch2
relations-and-functions
functions
easy
asked
Apr 28, 2013
1
answer
If $A=\{1,2,3,4\}$ and $B=\{1,2\}$, then the number of onto functions from $A$ to $B$ is
jeemain
math
class12
ch1
relations-and-functions
functions
medium
asked
Apr 28, 2013
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
jeemain
math
class11
ch1
sets
venn
diagram
operation
on
difficult
asked
Apr 26, 2013
1
answer
If $\large\overrightarrow a\:and\:\overrightarrow b$ are unit vectors then prove that $ \large\frac{1}{2}|\overrightarrow a-\overrightarrow b|=sin\frac{\theta}{2}.$
class12
ch10
kvquestionbank2012
q8
b
difficult
sec-b
asked
Apr 19, 2013
1
answer
Find the angle between the vectors $|\overrightarrow a|\overrightarrow b+|\overrightarrow b|\overrightarrow a$ and $ |\overrightarrow a|\overrightarrow b-|\overrightarrow b|\overrightarrow a$ where$ \overrightarrow a$ and $\overrightarrow b$ are non zero vectors
concepts
asked
Mar 31, 2013
0
answers
Find the angle inclined by the vector \(\hat i+\hat j+\hat k\) with the coordinate axes.
concepts
asked
Mar 24, 2013
0
answers
\(sin^{-1}\:is\:>\:cos^{-1}x\:in\:which\:interval?\)
cbse
class12
medium
concepts
math
asked
Mar 15, 2013
1
answer
What-will-be-derivative-if-x-is-in-the-interval-(\pi/2,\pi)-Ans: -1/2
sec-a
asked
Dec 17, 2012
0
answers
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