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Recent questions tagged short-answer
Questions
If $X=\begin{bmatrix}3 & 1 & 1\\5 & 2 & 3\end{bmatrix}$ and $Y=\begin{bmatrix}2 & 1 & 1\\7 & 2 & 4\end{bmatrix}$, find $X + Y$
cbse
class12
ch3
q7
q7-1
p53
short-answer
exemplar
sec-a
math
asked
Dec 22, 2012
by
sreemathi.v
1
answer
If possible,find the sum of the matrices A and B,where $A=\begin{bmatrix}\sqrt 3 & 1\\2 & 3\end{bmatrix},and\; B=\begin{bmatrix}x & y & z\\a & b &6\end{bmatrix}$
cbse
class12
ch3
q6
p53
short-answer
exemplar
easy
sec-a
math
asked
Dec 22, 2012
by
sreemathi.v
1
answer
Find values of a and b if A=B,where A=$\begin{bmatrix}a + 4 & 3b\\8 & - 6\end{bmatrix},B=\begin{bmatrix}2a + 2 & b^2 + 2\\8 & b^2 - 5b\end{bmatrix}$
cbse
class12
ch3
q5
p53
short-answer
exemplar
easy
sec-b
math
asked
Dec 22, 2012
by
sreemathi.v
1
answer
Construct a $3\times 2$ matrix whose elements are given by $a_{ij}=e^{i.x}\sin jx$
cbse
class12
ch3
q4
p53
short-answer
exemplar
easy
sec-a
math
asked
Dec 22, 2012
by
sreemathi.v
1
answer
Construct $a_{2\times 2}$ matrix where $a_{ij} =\frac{(i + 2j)^2}{2}$
cbse
class12
ch3
q3
q3-1
p53
short-answer
exemplar
sec-a
math
asked
Dec 22, 2012
by
sreemathi.v
1
answer
What is the order of the matrix $A=\begin{bmatrix} a & 1 & x \\ 2 & \sqrt 3 & x^2 y \\ 0 & 5 & \frac{2}{5} \end{bmatrix}$
cbse
class12
ch3
q2
q2-1
p52
short-answer
exemplar
sec-a
math
asked
Dec 21, 2012
by
sreemathi.v
1
answer
If a matrix has 28 elements, what are the possible orders it can have?
cbse
class12
ch3
q1
q1-1
p52
short-answer
exemplar
easy
sec-a
math
asked
Dec 21, 2012
by
sreemathi.v
1
answer
Find the value of $\; \tan^{-1}\bigg(\tan{\frac{5\pi}{6}}\bigg)+\cos^{-1}\bigg(\cos{\frac{13\pi}{6}}\bigg)$
cbse
class12
ch2
q1
p35
short-answer
exemplar
medium
sec-a
math
asked
Dec 20, 2012
by
sreemathi.v
1
answer
Let n be a fixed positive integer.Define a relation R in Z as follows: a,b E\inE Z, aRb if and only if a-b is divisible by n. Show that R is an equivalence relation.
cbse
class12
ch1
q15
p12
short-answer
exemplar
sec-a
easy
math
asked
Dec 20, 2012
by
sreemathi.v
1
answer
Let $f\;:\;R\rightarrow R$ be the function defined by $f(x)=\frac{1}{2-\cos x}\forall x\;\in R.$Then,find the range of f.
cbse
class12
ch1
q14
p12
short-answer
exemplar
sec-a
easy
math
asked
Dec 18, 2012
by
sreemathi.v
1
answer
If functions $f\;:\;A \rightarrow B\;and\;g\;:\;B \rightarrow A $ satisfy g o f =$I_A$ ,then is f one-one and g onto
cbse
class12
ch1
q13
p11
short-answer
exemplar
sec-a
easy
math
asked
Dec 18, 2012
by
sreemathi.v
1
answer
Let X={1,2,3} and Y={4,5}.Find whether the following subsets of X x Y are functions from X to Y or not.$\quad f=\{(1,4),(1,5),(2,4),(3,5)\} $
cbse
class12
ch1
q12
q12-1
p11
short-answer
exemplar
sec-a
easy
math
asked
Dec 18, 2012
by
sreemathi.v
1
answer
Let the function $f\;:\;R \rightarrow R$ be defined by$ f(x)=\cos x,\forall \;x\;\in R$.Show that f is neither one-one nor onto
cbse
class12
ch1
q11
p11
short-answer
exemplar
sec-a
easy
math
asked
Dec 18, 2012
by
sreemathi.v
1
answer
Let C be the set of complex numbers.Prove that the mapping $f\; :\;C \rightarrow R\;given\;by\;f(z)=|\;z\;|,\forall\; z \in C,$is neither one-one nor onto.
cbse
class12
ch1
q10
p11
short-answer
exemplar
sec-a
easy
math
asked
Dec 18, 2012
by
sreemathi.v
1
answer
If the mappings f and g are given by\[f\;=\;\{(1,2),(3,5),(4,1)\} \;and\;g=\{(2,3),(5,1),(1,3)\},write\;f\;o\;g\]
cbse
class12
ch1
q9
p11
short-answer
exemplar
sec-a
easy
math
asked
Dec 18, 2012
by
sreemathi.v
1
answer
Are the following set of ordered pairs function?If so,examine whether the mapping is injective or subjective $\;\{(x,y)\;:\;x \;is \;a \;person,y\; is\; the\; mother\; of\; x\}$
cbse
class12
ch1
q8
q8-1
p11
short-answer
exemplar
sec-a
easy
math
asked
Dec 18, 2012
by
sreemathi.v
1
answer
Is $g=\{(1,1),(2,3),(3,5),(4,7)\}$ a function?If g is described by $g(x)=\alpha x+\beta$,then what value should be assigned to $\alpha\;and\;\beta.$
cbse
class12
ch1
q7
p11
short-answer
exemplar
sec-a
easy
math
asked
Dec 18, 2012
by
sreemathi.v
1
answer
If $f : R \rightarrow R$ is defined by $f(x)=x^2-3x+2$, write $f(f(x))$.
cbse
class12
ch1
q6
p11
short-answer
exemplar
sec-a
math
asked
Dec 18, 2012
by
sreemathi.v
1
answer
Let A={a,b,c,d} and the function f={(a,b),(b,d),(c,a),(d,c)},Write $f^{-1}$.
cbse
class12
ch1
q5
p11
short-answer
exemplar
sec-a
easy
math
asked
Dec 18, 2012
by
sreemathi.v
1
answer
Let f : $R \to R$ be the function defined by $f(x)=2x-3$ $\forall x \in R$.Write $f^{-1}.$
cbse
class12
ch1
q4
p11
short-answer
exemplar
sec-b
math
asked
Dec 18, 2012
by
sreemathi.v
1
answer
Let $f,g:R \rightarrow $R be defined by $f(x)=2x+1$ and $g(x)=x^2-2,\forall x \in R,$respectively. Then, find $g\;of(x)$.
cbse
class12
ch1
q3
p11
short-answer
exemplar
sec-a
math
asked
Dec 18, 2012
by
sreemathi.v
1
answer
Let $D$ be the domain of the real valued function $f$ defined by $f(x)=\sqrt{25-x^2}.$Then, write $D$
cbse
class12
ch1
q2
p11
short-answer
exemplar
sec-a
math
asked
Dec 18, 2012
by
sreemathi.v
1
answer
Let $A={a,b,c}$ and the relation $R$ be defined on $A$ as follows: $R= {(a,a)(b,c)(a,b)}$. Write the minimum number of ordered pairs to be ordered pairs to be added in $R$ to make $R$ reflexive and transitive.
cbse
class12
ch1
q1
p11
short-answer
exemplar
sec-a
math
asked
Dec 18, 2012
by
sreemathi.v
1
answer
Determine order and degree (if defined) of differential equation $y'+5y=0$
cbse
class12
bookproblem
ch9
sec1
q2
p382
easy
short-answer
math
sec-a
asked
Nov 28, 2012
by
sreemathi.v
1
answer
Determine order and degree (if defined) of differential equation $y'''+2y''+y'=0$
cbse
class12
bookproblem
ch9
sec1
q7
p382
easy
short-answer
sec-a
math
asked
Nov 27, 2012
by
sreemathi.v
1
answer
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