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Recent questions tagged sec1

Determine whether each of the following relations are reflexive, symmetric and transitive: $(v)$ Relation $R$ in the set $A$ of all human beings in a town at a particular time given by $ R=\{(x,y):\; \text{x is the father of y}\}$

asked Mar 8, 2013 by balaji.thirumalai

1 answer

Determine whether each of the following relations are reflexive, symmetric and transitive: Relation $R$ in the set $A$ of all human beings in a town at a particular time given by $R=\{(x,y):\; \text{x is the wife of y}\}$

asked Mar 8, 2013 by balaji.thirumalai

1 answer

Determine whether Relation $R$ is reflexive, symmetric and transitive: Relation $R$ in the set $A$ of all human beings in a town at a particular time given by $ R=\{(x,y):\; x$ is exactly $7\;cm$ taller than $y\}$

asked Mar 8, 2013 by balaji.thirumalai

1 answer

Determine whether Relation $R$ is reflexive, symmetric and transitive: Relation $R$ in the set $A$ of all human beings in a town at a particular time given by $R=\{(x,y):x\; \text{and y live in the same locality}\}$

asked Mar 8, 2013 by balaji.thirumalai

1 answer

Determine whether each of the following relations are reflexive, symmetric and transitive: Relation $R$ in the set $A$ of all human beings in a town at a particular time given by $\; R=\{(x,y):x $ and $y$ work at the same place $\}$

asked Mar 8, 2013 by balaji.thirumalai

1 answer

Determine whether Relation $R$ is reflexive, symmetric and transitive: Relation $R$ in the set $Z$ of all integers defined as $R=\{(x,y):x-y \;\; \text {is an integer}\}$

asked Mar 8, 2013 by balaji.thirumalai

1 answer

Determine whether Relation $R$ is reflexive, symmetric and transitive: Relation $R$ in the set $A = \{1,2,3,4,5,6\}$ defined as $R=\{(x,y):y \;\; \text {is divisible by } x\}$

asked Mar 8, 2013 by balaji.thirumalai

1 answer

Relation $R$ in a set $N$ of natural numbers defined as $R=\{(x,y):y=x+5$ and $x<4\}$. Which of the following is true about $R$?

asked Mar 7, 2013 by balaji.thirumalai

1 answer

Given Relation $R$ in the set $A=\{1,2,3,...,13,14\}$ defined as $R=\{(x,y):3x-y=0\}$. Which of the following is true?

asked Mar 7, 2013 by balaji.thirumalai

1 answer

Give an example of a relation which is (i) Symmetric but neither reflexive nor transitive.

asked Mar 7, 2013 by balaji.thirumalai

1 answer

Find the values of $x$, if $ \text{: } \begin{vmatrix} 2&3 \\ 4&5 \end{vmatrix} = \begin{vmatrix} x&3 \\ 2x&5 \end{vmatrix}$

asked Mar 6, 2013 by sreemathi.v

1 answer

Evaluate the determinants: $ \begin{vmatrix} 2&-1&2 \\ 0&2&-1 \\3&-5&0 \end{vmatrix}$

asked Mar 6, 2013 by sreemathi.v

1 answer

Evaluate the determinants: $ \begin{vmatrix} 0&1&2 \\ -1&0&3 \\-2&3&0 \end{vmatrix}$

asked Mar 6, 2013 by sreemathi.v

1 answer

Evaluate the determinants: $ \begin{vmatrix} 3&-4&5 \\ 1&1&-2 \\2&3&1 \end{vmatrix}$

asked Mar 6, 2013 by sreemathi.v

1 answer

$ \text{Evaluate the determinants: } \text{(ii): } \begin{vmatrix} x^2-x+1&x-1\\x+1&x+1 \end{vmatrix}$

asked Mar 6, 2013 by sreemathi.v

1 answer

Find the values of x,y and z from the following equations: $(iii)\;\begin{bmatrix}x+y+z\\x+z\\y+z\end{bmatrix}=\begin{bmatrix}9\\5\\7\end{bmatrix}$

asked Feb 27, 2013 by balaji.thirumalai

1 answer

Find the values of x,y and z from the following equations:$ (ii)\;\begin{bmatrix}x+y & z\\5+z & xy\end{bmatrix}=\begin{bmatrix}6 & 2\\5 & 8\end{bmatrix}\qquad$

asked Feb 27, 2013 by balaji.thirumalai

1 answer

Find the values of x,y and z from the following equations:$(i)\begin{bmatrix}4 & 3\\x & 5\end{bmatrix}=\begin{bmatrix}y & z\\1 & 5\end{bmatrix}\qquad$

asked Feb 27, 2013 by balaji.thirumalai

1 answer

Construct a 3 x 4 matrix,whose elements are given by:$(i)\;a_{ij}=\frac{1}{2}| -3i+j\;| \qquad$

asked Feb 27, 2013 by balaji.thirumalai

1 answer

Construct a 2 x 2 matrix, $A=[a_{ij}],$whose elements are given by:$ (ii) a_{ij}=\frac{i}{j}\qquad$

asked Feb 27, 2013 by balaji.thirumalai

1 answer

Construct a $2 \times 2$ matrix, $A=[a_{ij}],$whose elements are given by: $a_{ij}=\frac{(i+j)^2}{2}\qquad$

asked Feb 27, 2013 by balaji.thirumalai

1 answer

If a matrix has 5 elements,what are the possible orders can it have?

asked Feb 27, 2013 by balaji.thirumalai

1 answer

If a matrix has 18 elements,what are the possible orders it can have?

asked Feb 27, 2013 by balaji.thirumalai

1 answer

If a matrix has 13 elements,what are the possible orders it can have? (Note: This question has been split into 2 questions)

asked Feb 27, 2013 by balaji.thirumalai

1 answer

If a matrix has 24 elements,what are the possible orders it can have? (Note: This question has been split into 2 questions)

asked Feb 27, 2013 by balaji.thirumalai

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 the elements $\;a_{13},a_{21},a_{33},a_{24},a_{23}$ \[\]

asked Feb 27, 2013 by balaji.thirumalai

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 The number of elements

asked Feb 27, 2013 by balaji.thirumalai

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 The order of the matrix.

asked Feb 27, 2013 by balaji.thirumalai

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) $P(A \cap B) , (ii) P(A|B) , (iii) P(B|A)$

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} $

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 \[ \begin{array} ((i) P(A \cap B) \quad & (ii) P(A|B) \quad & (iii) P(A ∪ B) \end{array} \]

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)

asked Dec 18, 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:\[(i)\;The\;order\;of\;the\;matrix,\qquad(ii)\;The\;number\;of\;the\;elements,\]\[(iii)\;Write\;the\;elements\;a_{13},a_{21},a_{33},a_{24},a_{23}\]

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?

asked Dec 7, 2012 by sreemathi.v

1 answer

If a matrix has 18 elements,what are the possible orders it can have?What, if it has 5 elements?

asked Dec 7, 2012 by sreemathi.v

1 answer

Construct a 2 x 2 matrix, $A=[a_{ij}],$whose elements are given by: $\;a_{ij}=\frac{(i+2j)^2}{2}$

asked Dec 7, 2012 by sreemathi.v

1 answer

Construct a 3 x 4 matrix,whose elements are given by: $\;a_{ij}=2i-j$

asked Dec 7, 2012 by sreemathi.v

1 answer

Find the values of x,y and z from the following equations:\[(i)\begin{bmatrix}4 & 3\\x & 5\end{bmatrix}=\begin{bmatrix}y & z\\1 & 5\end{bmatrix}\qquad(ii)\;\begin{bmatrix}x+y & z\\5+z & xy\end{bmatrix}=\begin{bmatrix}6 & 2\\5 & 8\end{bmatrix}\qquad(iii)\;\begin{bmatrix}x+y+z\\x+z\\y+z\end{bmatrix}=\begin{bmatrix}9\\5\\7\end{bmatrix}\]

asked Dec 7, 2012 by sreemathi.v

1 answer

Find the values of a,b,c and d from the question:
$\begin{bmatrix}a-b & 2a+c\\2a-b & 3c+d\end{bmatrix}$ = $\begin{bmatrix}-1 & 5\\0 & 13\end{bmatrix}$

asked Dec 7, 2012 by sreemathi.v

1 answer

$A=[a_{ij}]_{m \times n}$ is a square matrix if

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} $

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:

asked Dec 7, 2012 by sreemathi.v

2 answers

Find an anti derivative(or integral)of the function by the method of inspection $\sin 2x$

asked Dec 6, 2012 by sreemathi.v

1 answer

Find an anti derivative(or integral)of the function by the method of inspection $\cos 3x$

asked Dec 6, 2012 by sreemathi.v

1 answer

Find an anti derivative(or integral)of the function by the method of inspection $e^{2x}$

asked Dec 6, 2012 by sreemathi.v

1 answer

Find an anti derivative(or integral)of the function by the method of inspection $(ax+b)^2$

asked Dec 6, 2012 by sreemathi.v

1 answer

Find an anti derivative(or integral)of the function by the method of inspection $\sin2x-4e^{3x}$

asked Dec 6, 2012 by sreemathi.v

1 answer

Find the integral $\int(4\;e^{3x}+1)\;dx$

asked Dec 6, 2012 by sreemathi.v

1 answer

Find the integral $\int x^2(1-\frac{1}{x^2})\;dx$

asked Dec 6, 2012 by sreemathi.v

1 answer

Find the integral $\int(ax^2+bx+c)\;dx$

asked Dec 6, 2012 by sreemathi.v

1 answer

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