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Recent questions tagged q4
Questions
If $A (-1 , 4 , -3 ) $ is one end of a diameter $AB$ of the sphere $ x^{2}+y^{2}+z^{2}-3x-2y+2z-15=0$ than, Find the coordinates of $B$.
tnstate
class12
bookproblem
ch2
sec-1
exercise2-11
p124
q4
asked
Apr 9, 2013
by
poojasapani_1
1
answer
Find the angle between the line $\large\frac{x-2}{3}=\frac{y+1}{-1}=\frac{z-3}{-2}$and the plane $3x+4y+z+5=0$
tnstate
class12
bookproblem
ch2
sec-1
exercise2-10
p119
q4
asked
Apr 8, 2013
by
poojasapani_1
1
answer
Find the meeting point of the line $\overrightarrow{r}(\overrightarrow{2i}+\overrightarrow{j}-\overrightarrow{3k}) + t(\overrightarrow{2i}-\overrightarrow{j}-\overrightarrow{k}) $ and the plane. $x-2y+3z+7=0$
tnstate
class12
bookproblem
ch2
sec-1
exercise2-9
p116
q4
mar-2007
modelpaper
asked
Apr 8, 2013
by
poojasapani_1
1
answer
The foot of the perpendicular drawn from the origin to the plane is $(8 , -4 , 3 )$ find the equation of the plane.
tnstate
class12
bookproblem
ch2
sec-1
exercise2-8
p111
q4
asked
Apr 7, 2013
by
poojasapani_1
1
answer
Find the shortest distance between the skew lines $\large\frac{x-6}{3}=\frac{y-7}{-1}=\frac{z-4}{1}$ and $\large\frac{x}{-3}=\frac{y+9}{2}=\frac{z-2}{4}$
tnstate
class12
bookproblem
ch2
sec-1
exercise2-7
p100
q4
asked
Apr 7, 2013
by
poojasapani_1
1
answer
A vector $\overrightarrow{r}$ has length $35\sqrt{2}$ and direction ratios $(3 , 4 , 5 ),$ Find the direction consines and components of $\overrightarrow{r}$.
tnstate
class12
bookproblem
ch2
sec-1
exercise2-6
p94
q4
asked
Apr 6, 2013
by
poojasapani_1
1
answer
Show that the points$(1 ,3 ,1), (1, 1, -1),(-1,1, 1),(2 ,2,- 1) $ are lying on the same plane.(Hint : It is enough to prove any three vectors formed by these four points are coplanar).
tnstate
class12
bookproblem
ch2
sec-1
exercise2-5
p88
q4
asked
Apr 5, 2013
by
poojasapani_1
1
answer
Find the vectors whose length $5$ and which are perpendicular to the vectors $\overrightarrow{a}=\overrightarrow{3i}+\overrightarrow{j}-\overrightarrow{4k}$ and $\overrightarrow{b}=\overrightarrow{6i}+\overrightarrow{5j}-\overrightarrow{2k}$
tnstate
class12
bookproblem
ch2
sec-1
exercise2-3
p72
q4
asked
Apr 4, 2013
by
poojasapani_1
1
answer
Prove by the vector method , cos$(A+B)=$ cos$A$ cos$B$ - sin$A$ sin$B$
tnstate
class12
bookproblem
ch2
sec-1
exercise2-2
p62
q4
mar-2006
mar-2008
modelpaper
asked
Apr 3, 2013
by
poojasapani_1
1
answer
Find the value of $m$ for which the vectors $\overrightarrow{a}=\overrightarrow{3i}+\overrightarrow{2j}+\overrightarrow{9k}$ and $\overrightarrow{b}=\overrightarrow{i}+\overrightarrow{mj}+\overrightarrow{3k}$ are perpendicular
tnstate
class12
bookproblem
ch2
sec-1
exercise2-1
p56
q4
q4-1
asked
Apr 3, 2013
by
poojasapani_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 (iii) Write the elements $a_{13},a_{21}.a_{33},a_{24},a_{23}$ .
cbse
class12
modelpaper
2012
sec-a
q4
q4-3
ch3
easy
math
asked
Apr 3, 2013
by
sreemathi.v
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 (ii) The number of elements .
cbse
class12
modelpaper
2012
sec-a
q4
q4-2
ch3
easy
math
asked
Apr 3, 2013
by
sreemathi.v
1
answer
Evaluate : $ \begin{vmatrix} 1 & log_ba \\ log_ab & 1 \end{vmatrix}$
cbse
class12
ch4
q4
sec-a
additionalproblem
medium
math
asked
Apr 3, 2013
by
meena.p
1
answer
Find the transpose of each of the following matrices : $ (iii)\begin{bmatrix} -1&5&6 \\ \sqrt 3 & 5&6\\2 &3&-1 \end{bmatrix} $.
cbse
class12
modelpaper
2012
sec-a
q4
q4-3
ch3
easy
math
asked
Apr 3, 2013
by
sreemathi.v
1
answer
Find the transpose of each of the following matrices : \( (ii)\begin{bmatrix} 1&-1 \\ 2 & 3 \end{bmatrix} \).
cbse
class12
modelpaper
2012
sec-a
q4
q4-2
ch3
easy
math
asked
Apr 3, 2013
by
sreemathi.v
1
answer
Find the value of $m$ for which the vectors $\overrightarrow{a}=\overrightarrow{3i}+\overrightarrow{2j}+\overrightarrow{9k}$ and $\overrightarrow{b}=\overrightarrow{i}+\overrightarrow{mj}+\overrightarrow{3k}$ are parallel
tnstate
class12
bookproblem
ch2
sec-1
exercise2-1
p56
q4
q4-2
asked
Apr 2, 2013
by
poojasapani_1
1
answer
Find the real values of $\mathit{x}$ and $\mathit{y}$ for which the following equation: $\sqrt{x^{2}+3x+8} + \left ( x+4 \right )\mathit{i} = \mathit{y}\left (2 + \mathit{i} \right )$
tnstate
class12
bookproblem
ch3
sec3
exercise3-1
q4
q4-3
p130
asked
Apr 1, 2013
by
geethradh
1
answer
Find the real values of $\mathit{x}$ and $\mathit{y}$ for which the following equation: $\large\frac{\left ( 1+\mathit{i} \right )\mathit{x}-2\mathit{i}}{3+\mathit{i}} + \frac{\left ( 2-3\mathit{i} \right )\mathit{y}+\mathit{i}}{3-\mathit{i}} = $$\mathit{i}$
tnstate
class12
bookproblem
ch3
sec3
exercise3-1
q4
q4-2
p130
asked
Apr 1, 2013
by
geethradh
1
answer
Find the real values of $\mathit{x}$ and $\mathit{y}$ for which the following equation: $\left ( 1-\mathit{i} \right )\mathit{x} + \left ( 1+\mathit{i} \right )\mathit{y} = 1-3\mathit{i}$
tnstate
class12
bookproblem
ch3
sec3
exercise3-1
q4
q4-1
p130
asked
Apr 1, 2013
by
geethradh
1
answer
Solve the following non-homogeneous system of linear equation by determinant method : $x+y+z=4\;,x-y+z=2\;,2x+y-z=1 $
tnstate
class12
bookproblem
ch1
sec-1
exercise1-4
p35
q4
sec-c
easy
asked
Mar 29, 2013
by
poojasapani_1
1
answer
Find the rank of the following matrix :$\begin{bmatrix} 0 & 1 & 2 &1 \\2 & -3 & 0 &-1 \\1 & 1 & -1 & 0 \end{bmatrix}$
tnstate
class12
bookproblem
ch1
sec-1
exercise1-3
p19
q4
sec-b
medium
asked
Mar 29, 2013
by
poojasapani_1
1
answer
Solve by matrix inversion method following system of linear equation $2x-y+z=7\;,3x+y-5z=13\;,x+y+z=5$
tnstate
class12
bookproblem
ch1
sec-1
exercise1-2
p13
q4
sec-c
difficult
asked
Mar 29, 2013
by
poojasapani_1
1
answer
Find the inverse of following matrix : $\begin{bmatrix} 2 & 2 & 1 \\1 & 3 & 1 \\1 & 2 & 2 \end{bmatrix}$
tnstate
class12
bookproblem
ch1
sec-1
exercise1-1
p9
q4
q4-5
asked
Mar 28, 2013
by
poojasapani_1
1
answer
Find the inverse of following matrix : $\begin{bmatrix} 8 & -1 &- 3 \\-5 & 1 & 2 \\10 & -1 & -4 \end{bmatrix}$
tnstate
class12
bookproblem
ch1
sec-1
exercise1-1
p9
q4
q4-4
asked
Mar 28, 2013
by
poojasapani_1
1
answer
Find the inverse of the following matrix : $\begin{bmatrix} 1 & 2 & -2 \\-1 & 3 & 0 \\0 & -2 & 1 \end{bmatrix}$
tnstate
class12
bookproblem
ch1
sec-1
exercise1-1
p9
q4
q4-3
asked
Mar 28, 2013
by
poojasapani_1
1
answer
Find the inverse of following matrix: $\begin{bmatrix} 1 & 3 & 7 \\4 & 2 & 3 \\1 & 2 & 1 \end{bmatrix}$
tnstate
class12
bookproblem
ch1
sec1
exercise1-1
p9
q4
q4-2
sec-b
medium
asked
Mar 28, 2013
by
poojasapani_1
1
answer
Find the inverse of following matrix :$\begin{bmatrix} 1 & 0 & 3 \\2 & 1 & -1 \\1 & -1 & 1 \end{bmatrix}$
tnstate
class12
bookproblem
ch1
sec-1
exercise1-1
p9
q4
q4-1
mar-2007
modelpaper
sec-b
difficult
asked
Mar 28, 2013
by
poojasapani_1
1
answer
If Matrix A = $\begin{bmatrix} 1 &-1 \\ -1 & 1 \end{bmatrix}$, and $A^2=kA$, then write the value of $k$.
class12
cbse
modelpaper
2013
sec-a
q4
65-1
math
asked
Mar 20, 2013
by
balaji.thirumalai
1
answer
For what value of x, is the matrix A=$\begin{bmatrix}0 & 1 & -2\\-1 & 0 & 3\\x & -3 & 0\end{bmatrix}$ a skew-symmetric matrix?
cbse
class12
modelpaper
2013
sec-a
q3
65-1
q4
65-2
q6
65-3
math
asked
Mar 20, 2013
by
sreemathi.v
1
answer
Write the principal value of $\tan^{-1}(\sqrt 3)-cot^{-1}(-\sqrt 3).$
cbse
class12
modelpaper
2013
sec-a
q1
65-1
q5
65-2
q4
65-3
math
asked
Mar 20, 2013
by
sreemathi.v
1
answer
Consider a binary operation $\ast$ on the set \(\{1, 2, 3, 4, 5\}\) given by the following multiplication table (Table 1.2). \begin{matrix} *&1&2&3&4&5 \\ 1&1&1&1&1&1 \\ 2&1&2&1&2&1 \\ 3&1&1&3&1&1 \\ 4&1&2&1&4&1 \\ 5&1&1&1&1&5 \end{matrix} (iii) Compute $(2 \ast 3) \ast (4 \ast 5)$
easy
p25
sec-a
cbse
q4
sec4
class12
bookproblem
ch1
q4-3
math
asked
Mar 20, 2013
by
balaji.thirumalai
1
answer
Consider a binary operation $\ast$ on the set \(\{1, 2, 3, 4, 5\}\) given by the following multiplication table (Table 1.2). \begin{matrix} *&1&2&3&4&5 \\ 1&1&1&1&1&1 \\ 2&1&2&1&2&1 \\ 3&1&1&3&1&1 \\ 4&1&2&1&4&1 \\ 5&1&1&1&1&5 \end{matrix} (ii) is $\ast$ commutative?
easy
p25
sec-a
q4
sec4
class12
bookproblem
cbse
q4-2
ch1
math
asked
Mar 20, 2013
by
balaji.thirumalai
1
answer
Consider a binary operation $\ast$ on the set \(\{1, 2, 3, 4, 5\}\) given by the following multiplication table (Table 1.2). \begin{matrix} *&1&2&3&4&5 \\ 1&1&1&1&1&1 \\ 2&1&2&1&2&1 \\ 3&1&1&3&1&1 \\ 4&1&2&1&4&1 \\ 5&1&1&1&1&5 \end{matrix} (i) Compute $(2*3)*4$ and $2*(3*4)$
cbse
class12
bookproblem
ch1
sec4
q4
easy
q4-1
p25
sec-a
math
asked
Mar 20, 2013
by
balaji.thirumalai
1
answer
Find equation of line joining (3, 1) and (9, 3) using determinants.
cbse
class12
bookproblem
ch4
sec3
q4
p123
qp2
easy
sec-a
math
asked
Feb 23, 2013
by
pady_1
1
answer
Find the value of $tan^{-1}\frac{-1}{\sqrt 3}+cot^{-1}\frac{1}{\sqrt 3}-tan^{-1}sin\frac{\pi}{2}$
cbse
class12
ch2
q4
p35
exemplar
easy
sec-a
math
asked
Feb 19, 2013
by
sreemathi.v
1
answer
If matrix A = (1,2,3), write AA' where A' is the transpose of matrix A.
cbse
class12
modelpaper
2012
sec-a
q4
ch3
easy
math
asked
Feb 17, 2013
by
thanvigandhi_1
1
answer
If \( \begin{bmatrix} 2x & 5 \\ 8 & x \end{bmatrix}=\begin{bmatrix} 6 & 5 \\ 8 & 3 \end{bmatrix} \), then find x.
cbse
class12
modelpaper
2012
sec-a
q4
ch3
easy
math
asked
Feb 15, 2013
by
thanvigandhi_1
1
answer
Compute $ \begin{bmatrix} a & b \\ -b & a \end{bmatrix} \begin{bmatrix} a & -b \\ b & a \end{bmatrix} $
cbse
class12
modelpaper
2012
sec-a
q4
easy
math
asked
Feb 11, 2013
by
thanvigandhi_1
1
answer
Evaluate : $ \begin{vmatrix} cos \theta & -sin \theta \\ sin \theta & cos \theta \end{vmatrix} $
cbse
class12
modelpaper
2012
sec-a
q4
easy
math
asked
Feb 9, 2013
by
thanvigandhi_1
1
answer
If $\begin{bmatrix} 15 & x+y \\ 2 & y \end{bmatrix} = \begin{bmatrix} 15 & 8 \\ x-y & 3 \end{bmatrix} $find the value of x and y
cbse
class12
modelpaper
2012
sec-a
q4
ch3
easy
math
asked
Feb 9, 2013
by
thanvigandhi_1
1
answer
If \( \begin{bmatrix} xy & 4 \\ z+6 & x+y \end{bmatrix} = \begin{bmatrix} 8 & w \\ 0 & 6 \end{bmatrix} \), then find values of x,y,z and w.
cbse
class12
modelpaper
2012
sec-a
q4
ch3
easy
math
asked
Feb 8, 2013
by
thanvigandhi_1
1
answer
Evaluate : $ \begin{vmatrix} x^2-x+1 & x-1 \\ x+1 & x+1 \end{vmatrix} $
cbse
class12
modelpaper
2012
sec-a
q4
easy
math
asked
Feb 7, 2013
by
thanvigandhi_1
1
answer
Find the value of x from the following : $\begin{bmatrix} 2x-y & 5 \\ 3 & y \end{bmatrix} = \begin{bmatrix} 6 & 5 \\ 3 & -2 \end{bmatrix} $
cbse
class12
modelpaper
2012
sec-a
q4
ch3
easy
math
asked
Feb 7, 2013
by
thanvigandhi_1
1
answer
Write the order of the product matrix : $ \begin{bmatrix} 1 \\ 2 \\ 3 \end{bmatrix} \begin{bmatrix} 2 & 3 & 4 \end{bmatrix} $
cbse
class12
modelpaper
2012
sec-a
q4
ch3
easy
math
asked
Feb 6, 2013
by
thanvigandhi_1
1
answer
The parameters n and p are 12 and 1/3 for a binomial distribution. Find standard deviation.
cbse
class12
additionalproblem
kvquestionbank2012
ch13
q4
p41
math
asked
Feb 5, 2013
by
meena.p
0
answers
If $ A = \begin{bmatrix} 2 & 3 \\ 5 & -2 \end{bmatrix} $ write \( A^{-1} \) in terms of A.
cbse
class12
modelpaper
2012
sec-a
q4
easy
math
asked
Feb 5, 2013
by
thanvigandhi_1
1
answer
A firm makes two types of furniture : chairs and tables. The contribution to profit for each product as calculated by the accounting department is Rs.20 per chair and Rs.30 per table. Both products are to be processed on three machines $ M_1,M_2 and M_3.$ The time required in hours by each product and total time available in hours per week on each machine are as follows:
cbse
class12
additionalproblem
kvquestionbank2012
ch12
q4
p39
math
asked
Feb 5, 2013
by
meena.p
1
answer
Find the value of k for which the two lines $ \large\frac{x-1}{2}=\frac{y+1}{3}=\frac{z-1}{4}\; and \;\frac{x-3}{1}=\frac{y-k}{2}=z$ intersect at a point?
cbse
class12
additionalproblem
kvquestionbank2012
ch11
q4
p37
math
asked
Feb 5, 2013
by
meena.p
0
answers
Prove the triangle inequality $\bigg|\overrightarrow{a}+\overrightarrow{b}\bigg|\leq\bigg|\overrightarrow{a}\bigg|+\bigg|\overrightarrow{b}\bigg|$
cbse
class12
additionalproblem
kvquestionbank2012
ch10
q4
p35
medium
sec-b
math
asked
Feb 4, 2013
by
meena.p
1
answer
Form the differential equation of circles represented by \[(x-\alpha)^2+(y-\beta)^2=r^2\; by \;eliminating\;\alpha\;and\;\beta\]
cbse
class12
additionalproblem
kvquestionbank2012
ch9
q4
p33
sec-b
math
asked
Feb 4, 2013
by
meena.p
0
answers
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