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Recent questions tagged sec-a
Questions
Let A={1,2,3,....n} and B={a,b}. Then the number of surjection from A into B is \begin{array}{1 1}(A)\quad"p_2 \qquad & (B)\quad 2"-2\\ (C)\quad 2^n-1 \qquad & (D)\quad none\;of\;these\end{array}
cbse
class12
ch1
q36
p14
objective
exemplar
sec-a
math
asked
Dec 19, 2012
by
sreemathi.v
1
answer
If the set A contains 5 elements and the set B contains 6 elements, then the number of one-one and onto mappings from A to B is
cbse
class12
ch1
q35
p14
objective
exemplar
sec-a
math
asked
Dec 19, 2012
by
sreemathi.v
1
answer
The identity element for the binary operation $\ast$ defined on $Q\sim \{0\}$ as $a\ast b=\large{\frac{ab}{2}} \normalsize \;a,b\in Q\sim\{0\}$ is
cbse
class12
ch1
q34
p14
objective
exemplar
sec-a
math
asked
Dec 19, 2012
by
sreemathi.v
1
answer
Let A={1,2,3} and consider the relation R={(1,1),(2,2),(3,3),(1,2),(2,3),(1,3)}.Then R is:
cbse
class12
ch1
q33
p14
objective
exemplar
sec-a
math
asked
Dec 19, 2012
by
sreemathi.v
1
answer
Consider the non-empty set consisting of children in a family and a relation R defined as aRb if a is brother of b.Then R is
cbse
class12
ch1
q29
p13
objective
exemplar
sec-a
math
asked
Dec 19, 2012
by
sreemathi.v
1
answer
Let $T$ be the set of all triangles in the Euclidean plane, and let a relation $R$ on $T$ be defined as $aRb$. If a is congruent to b where $a,b\in T$, then $R$ is:
cbse
class12
ch1
q28
p13
objective
exemplar
sec-a
math
asked
Dec 19, 2012
by
sreemathi.v
1
answer
Using the definition,prove that the function $f:\;A\rightarrow B$ is invertible if and only if f is both one-one and onto.
cbse
class12
ch1
q24
p13
exemplar
sec-a
math
asked
Dec 19, 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,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
If $ P(A) = \large \frac{6}{11} , P(B) =\large \frac{5}{11}\:$ and $ P(A \cup B) = \large \frac{7}{11}$ , find (i) $P(A \cap B) , (ii) P(A|B) , (iii) P(B|A)$
cbse
class12
bookproblem
ch13
sec1
q5
p538
sec-a
easy
math
asked
Dec 18, 2012
by
thanvigandhi_1
1
answer
Evaluate $ P(A \cup B)$, if $ 2P(A) = P(B) = \large \frac{5}{13} $ and $P(A | B) = \large \frac{2}{5} $
cbse
class12
bookproblem
ch13
sec1
q4
p538
sec-a
easy
math
asked
Dec 18, 2012
by
thanvigandhi_1
1
answer
If P (A) = 0.8, P (B) = 0.5 and P(B|A) = 0.4, find \[ \begin{array} ((i) P(A \cap B) \quad & (ii) P(A|B) \quad & (iii) P(A ∪ B) \end{array} \]
cbse
class12
bookproblem
ch13
sec1
q3
p538
sec-a
math
asked
Dec 18, 2012
by
thanvigandhi_1
1
answer
Given that E and F are events such that P(E) = 0.6, P(F) = 0.3 and P(E $\cap$ F) = 0.2, find P (E|F) and P(F|E)
cbse
class12
bookproblem
ch13
sec1
q1
p538
sec-a
easy
math
asked
Dec 18, 2012
by
thanvigandhi_1
1
answer
In each of the following cases,determine the direction cosines of the normal to the plane and the distance from the origin. $(a)\; z = 2 $
cbse
class12
bookproblem
ch11
sec3
q1
q1-a
p493
easy
sec-a
math
asked
Dec 15, 2012
by
thanvigandhi_1
1
answer
Find the Cartesian equation of the plane $\;(a)\; \overrightarrow r. (\hat i + \hat j - \hat k) = 2$
cbse
class12
bookproblem
ch11
sec3
q3
q3-a
p493
easy
sec-a
math
asked
Dec 15, 2012
by
thanvigandhi_1
1
answer
Find the coordinates of the foot of the perpendicular drawn from the origin to the plane $(a)\; 2x + 3y + 4z -12 = 0$
cbse
class12
bookproblem
ch11
sec3
q4
q4-a
p493
sec-a
easy
math
asked
Dec 15, 2012
by
thanvigandhi_1
1
answer
Find the vector and cartesian equations of the planes that passes through the point $(1, 0, -2)$ and the normal to the plane is $ \hat i+\hat j - \hat k $
cbse
class12
bookproblem
ch11
sec3
q5
q5-a
p493
sec-a
easy
math
asked
Dec 15, 2012
by
thanvigandhi_1
1
answer
Find the equations of the planes that passes through three points. $(1, 1, -1), (6, 4, -5), (-4, -2, 3) $
cbse
class12
bookproblem
ch11
sec3
q6
q6-a
p493
sec-a
easy
math
asked
Dec 15, 2012
by
thanvigandhi_1
1
answer
Find the intercepts cut off by the plane $2x + y -z = 5.$
cbse
class12
bookproblem
ch11
sec3
q7
p493
sec-a
easy
math
asked
Dec 15, 2012
by
thanvigandhi_1
1
answer
Find the equation of the plane with intercept 3 on the y - axis and parallel to ZOX plane.
cbse
class12
bookproblem
ch11
sec3
q8
p493
easy
sec-a
math
asked
Dec 15, 2012
by
thanvigandhi_1
1
answer
Determine whether the given planes are parallel or perpendicular, and in case they are neither, then find the angles between them. $(a)\; 7x + 5y + 6z + 30 = 0 \: and \: 3x -y -10z + 4 = 0 $
cbse
class12
bookproblem
ch11
sec3
q13
q13-a
p494
easy
sec-a
math
asked
Dec 14, 2012
by
thanvigandhi_1
1
answer
In the following cases,find the distance of each of the given points from the corresponding given plane (a)Point(0,0,0),Plane $3x-4y+12z-3=0$
cbse
class12
bookproblem
ch11
sec3
q14
q14-a
p494
sec-a
easy
math
asked
Dec 14, 2012
by
thanvigandhi_1
1
answer
Find the value of \[ \cot \;( \tan^{-1}a + \cot^{-1}a) \]
cbse
class12
bookproblem
ch2
sec2
q12
p48
easy
sec-a
math
asked
Dec 10, 2012
by
thanvigandhi_1
1
answer
Find the value of $x$ if \( sin \bigg ( sin^{-1} \frac{1}{5} + cos^{-1} \: x \bigg) = 1\).
cbse
class12
bookproblem
ch2
sec2
q14
p48
easy
veryshort
sec-a
math
asked
Dec 10, 2012
by
thanvigandhi_1
1
answer
Find the values of \[ sin^{-1} \bigg( sin \frac{2\pi}{3} \bigg) \]
cbse
class12
bookproblem
ch2
sec2
q16
p48
easy
sec-a
math
asked
Dec 10, 2012
by
thanvigandhi_1
1
answer
Find the value of the expression in \[ tan^{-1} \bigg( tan \frac{3\pi}{4} \bigg) \]
cbse
class12
bookproblem
ch2
sec2
q17
p48
easy
sec-a
math
asked
Dec 10, 2012
by
thanvigandhi_1
1
answer
Find the value of the expression $\cos^{-1} \bigg(\cos \frac{\large 7\pi}{\large 6} \bigg) $
cbse
class12
bookproblem
ch2
sec2
q19
p48
easy
sec-a
math
asked
Dec 10, 2012
by
thanvigandhi_1
1
answer
Find the values of each of the expressions in $ \sin \bigg(\frac{\pi}{3} - \sin^{-1} ( -\frac{1}{2} ) \bigg) $ is equal to
cbse
class12
bookproblem
ch2
sec2
q20
p48
easy
sec-a
math
asked
Dec 10, 2012
by
thanvigandhi_1
1
answer
Find the value of $ \tan^{-1} \sqrt 3 - \cot^{-1} (-\sqrt 3)$
cbse
class12
bookproblem
ch2
sec2
q21
p48
easy
sec-a
math
asked
Dec 10, 2012
by
thanvigandhi_1
1
answer
Find the value of: $\cos^{-1} (\cos \large\frac{13\pi}{6} ) $
cbse
class12
bookproblem
ch2
misc
q1
p51
easy
sec-a
math
asked
Dec 10, 2012
by
thanvigandhi_1
1
answer
Find the value of the following:<br> $ tan^{-1} \bigg(tan \frac{7\pi}{6}\bigg)$
cbse
class12
bookproblem
ch2
misc
q2
p51
easy
sec-a
math
asked
Dec 10, 2012
by
thanvigandhi_1
1
answer
In the matrix $A=\begin{bmatrix}2 & 5 & 19 & -7\\35 & -2 & \frac{5}{2} & 12\\\sqrt 3 & 1 & -5& 17\end{bmatrix},$write:\[(i)\;The\;order\;of\;the\;matrix,\qquad(ii)\;The\;number\;of\;the\;elements,\]\[(iii)\;Write\;the\;elements\;a_{13},a_{21},a_{33},a_{24},a_{23}\]
cbse
class12
bookproblem
ch3
sec1
q1
p64
easy
veryshortanswer
sec-a
math
asked
Dec 7, 2012
by
sreemathi.v
1
answer
If a matrix has 24 elements,what are the possible orders it can have? What, if it has 13 elements?
cbse
class12
bookproblem
ch3
sec1
q2
p64
easy
sec-a
math
asked
Dec 7, 2012
by
sreemathi.v
1
answer
Construct a 3 x 4 matrix,whose elements are given by: $\;a_{ij}=2i-j$
cbse
class12
bookproblem
ch3
sec1
q5
p64
q5-2
easy
math
sec-a
asked
Dec 7, 2012
by
sreemathi.v
1
answer
Find the values of a,b,c and d from the question:
$\begin{bmatrix}a-b & 2a+c\\2a-b & 3c+d\end{bmatrix}$ = $\begin{bmatrix}-1 & 5\\0 & 13\end{bmatrix}$
cbse
class12
bookproblem
ch3
sec1
q7
p64
easy
shortanswer
sec-a
math
asked
Dec 7, 2012
by
sreemathi.v
1
answer
$A=[a_{ij}]_{m \times n}$ is a square matrix if
cbse
class12
bookproblem
ch3
sec1
q8
p65
objective
math
sec-a
asked
Dec 7, 2012
by
sreemathi.v
1
answer
Which of the given values of x and y make the following pair of matrices equal:$\begin{bmatrix}3x+7 & 5\\y+1 & 2-3x\end{bmatrix},\begin{bmatrix}0 & y-2\\8 & 4\end{bmatrix} $
cbse
class12
bookproblem
ch3
sec1
q9
p65
easy
shortanswer
sec-a
math
asked
Dec 7, 2012
by
sreemathi.v
1
answer
The number of all possible matrices of order 3 x 3 with each entry 0 or 1 is:
cbse
class12
bookproblem
ch3
sec1
q10
p65
sec-a
easy
math
asked
Dec 7, 2012
by
sreemathi.v
2
answers
Represent graphically a displacement of 40 km, 30° east of north.
cbse
class12
bookproblem
ch10
ex-1
q1
p428
sec-a
easy
math
asked
Dec 7, 2012
by
thanvigandhi_1
1
answer
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