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Recent questions tagged q10-a

One of the four persons John,Rita,Aslam or Gurpreet will be promoted next month.Consequently the sample space consists of four elementary outcomes S={John promoted,Rita promoted,Aslam promted,Gurpreet promoted}.You are told that the chances of John's promotion is same as that of Gurpreet,Rita's chances of promotion are twice as likely as John's,Aslam's chances are four times that of John.Determine P(John promoted),P(Rita promoted),P(Aslam promoted),P(Gurpreet promoted)

asked Jul 7, 2014 by sreemathi.v

1 answer

$x,y$ and $z$ represent three switches in an position and $x^1,y^1$ and $z^1$ represent the three switches in an off position.Construct a switching circuit representing the polynomial $(x^1+y^1)(x+z^1)+y^1(y+z)$.Using the laws of Boolean algebra,show that the above polynomial is equivalent to $x^1z^1+y^1$ and construct an equivalent switching circuit.

asked Apr 22, 2013 by sreemathi.v

0 answers

Write the Boolean expression for the following circuit :

asked Apr 19, 2013 by sreemathi.v

0 answers

A plane passes through the point (4,2,4) and is perpendicular to the planes $2x+5y+4z+1=0$ and $4x+7y+6z+2=0$.Find the equation of the plane.

asked Apr 17, 2013 by sreemathi.v

1 answer

Find the equations to be two planes passing through the points (0,4,-3) and (6,-4,3),if the sum of their intercepts on the three axes is zero.

asked Apr 17, 2013 by sreemathi.v

0 answers

Find the equation of the plane through the point (1,2,3) and perpendicular to the planes $x+y+2z=3$ and $3x+2y+z=4$.

asked Apr 16, 2013 by sreemathi.v

0 answers

Find the coordinates of the point where the line joining the points (1,-2,3) and (2,-1,5) cuts the plane $x-2y+3z=19$.Hence,find the distance of this point from the point (5,4,1).

asked Apr 15, 2013 by sreemathi.v

0 answers

Find the equation of the plane which contains the line $\large\frac{x-1}{2}=\large\frac{y+1}{-1}=\large\frac{z-3}{4}$ and is perpendicular to the plane $x+2y+z=12.$

asked Apr 12, 2013 by sreemathi.v

0 answers

Find the value of $\lambda$ for which the four points with position vectors $2\hat{i}+5\hat{j}+\hat{k},-\hat{j}-4\hat{k},3\hat{i}+\lambda\hat{j}+8\hat{k}$ and $-4\hat{i}+3\hat{j}+4\hat{k}$ are coplanar.

asked Apr 12, 2013 by sreemathi.v

2 answers

Prove that : $\begin{bmatrix}\overrightarrow{a}+\overrightarrow{b}& \overrightarrow{b}+\overrightarrow{c}&\overrightarrow{c} +\overrightarrow{a}\end{bmatrix}=2\begin{bmatrix}\overrightarrow{a}&\overrightarrow{b}&\overrightarrow{c}\end{bmatrix}$

asked Apr 11, 2013 by sreemathi.v

0 answers

For any three vectors $\overline{a},\overline{b},\overline{c}$ prove :$[\;\overline{a}-\overline{b}\;\overline{b}-\overline{c}\;\overline{c}-\overline{a}\;]=0.$

asked Apr 10, 2013 by sreemathi.v

0 answers

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