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Recent questions tagged q2
Questions
Prove that :$ \begin{vmatrix}a & b & ax+by\\b & c & bx+cy\\ax+by & bx+cy & 0\end{vmatrix}=(b^2-ac)(ax^2+2bxy+cy^2).$
isc
class12
modelpaper
2008
sec-a
q2
q2-a
asked
Apr 15, 2013
by
sreemathi.v
0
answers
Form the differential equuations by eliminating arbitary constants given in brackets against each $y=(A+Bx)^{e^{\Large 3x}} [A , B ] $
tnstate
class12
bookproblem
ch8
sec-1
exercise8-1
p129
q2
q2-6
asked
Apr 15, 2013
by
poojasapani_1
1
answer
Form the differential equuations by eliminating arbitary constants given in brackets against each. $ y=Ae^{2x}+Be^{-5x} [A , B ]$
tnstate
class12
bookproblem
ch8
sec-1
exercise8-1
p129
q2
q2-5
asked
Apr 15, 2013
by
poojasapani_1
1
answer
Form the differential equuations by eliminating arbitary constants given in brackets against each. $\large \frac{x^{2}}{a^{2}}+\frac{y^{2}}{b^{2}}$$=1 [a , b ] $
tnstate
class12
bookproblem
ch8
sec-1
exercise8-1
p129
q2
q2-4
asked
Apr 15, 2013
by
poojasapani_1
1
answer
Form the differential equuations by eliminating arbitary constants given in brackets against each. $xy =c^{2} [$c$]$
tnstate
class12
bookproblem
ch8
sec-1
exercise8-1
p129
q2
q2-3
asked
Apr 14, 2013
by
poojasapani_1
1
answer
Form the differential equuations by eliminating arbitary constants given in brackets against each. $y=ax^{2} +bx + c[a , b ]$
tnstate
class12
bookproblem
ch8
sec-1
exercise8-1
p129
q2
q2-2
asked
Apr 14, 2013
by
poojasapani_1
1
answer
Form the differential equuations by eliminating arbitary constants given in brackets against each. $y^{2}=4ax [a]$
tnstate
class12
bookproblem
ch8
sec-1
exercise8-1
p129
q2
q2-1
asked
Apr 14, 2013
by
poojasapani_1
1
answer
Find the equation of the tangent and normal at $(-2 , \large\frac{1}{4})$ to the rectangular hyperbola $ 2xy-2x-8y-1=0 $
tnstate
class12
bookproblem
ch4
sec-1
exercise4-6
p262
q2
q2-2
asked
Apr 13, 2013
by
poojasapani_1
1
answer
Find the equation of the tangent and normal at $(3 , 4 )$ to the rectangular hyperbola $xy=12$
tnstate
class12
bookproblem
ch4
sec-1
exercise4-6
p262
q2
q2-1
asked
Apr 13, 2013
by
poojasapani_1
1
answer
Find the equation of the hyperbola if its asymptotes are parallel to $x+2y-12=0$ and $x-2y+8=0, (2 , 4 ) $ is the centre of the hyperbola and it passes through $(2 , 0 )$
tnstate
class12
bookproblem
ch4
sec-1
exercise4-5
p257
q2
q2-2
mar-2006
mar-2009
jun-2008
jun-2006
modelpaper
asked
Apr 13, 2013
by
poojasapani_1
1
answer
Find the equation of the hyperbola if the asymptotes are $2x+3y-8=0$ and $3x-2y+1=0$ and $ (5 , 3 ) $ is a point on the hyperbola.
tnstate
class12
bookproblem
ch4
sec-1
exercise4-5
p257
q2
q2-1
modelpaper
mar-2008
oct-2008
asked
Apr 13, 2013
by
poojasapani_1
1
answer
Find the equation of the tangent and normal to the hyperbola $\large\frac{x^{2}}{9}-\frac{y^{2}}{12}=$$1$ at $\theta=\large\frac{\pi}{6}$
tnstate
class12
bookproblem
ch4
sec-1
exercise4-4
p248
q2
q2-4
asked
Apr 13, 2013
by
poojasapani_1
1
answer
Find the equation of the tangent and normal to the ellipse $16x^{2}+25y^{2}=400 $ at $t=\large\frac{1}{\sqrt{3}}$
tnstate
class12
bookproblem
ch4
sec-1
exercise4-4
p248
q2
q2-3
asked
Apr 13, 2013
by
poojasapani_1
1
answer
Find the equation of the tangent and normal to the ellipse $ x^{2} +4y^{2}=32 $ at $\theta=\large\frac{\pi}{4}$
tnstate
class12
bookproblem
ch4
sec-1
exercise4-4
p248
q2
q2-2
asked
Apr 13, 2013
by
poojasapani_1
1
answer
Find the equation of the tangent and normal to the parabola $y^{2}=8x $ at $t=\large\frac{1}{2}$
tnstate
class12
bookproblem
ch4
sec-1
exercise4-4
p248
q2
q2-1
asked
Apr 13, 2013
by
poojasapani_1
1
answer
Solve the following linear equations using the matrix method : $x+y+z=9,2x+5y+7z=52,2x+y-z=0$.
isc
class12
modelpaper
2009
sec-a
q2
q2-b
asked
Apr 12, 2013
by
sreemathi.v
1
answer
By using properties of determinants ,prove that :$\begin{vmatrix}1+\sin^2x& \cos ^2x&4\sin 2x\\\sin^2x & 1+cos^2 x& 4\sin 2x\\\sin^2 x& \cos ^2x &1+4\sin 2x\end{vmatrix}=2+4\sin 2x$.
isc
class12
modelpaper
2009
sec-a
q2
q2-a
asked
Apr 12, 2013
by
sreemathi.v
0
answers
Using matrix method,solve the following equations :$5x+3y+z=16,2x+y+3z,x+2y+4z=25$.
isc
class12
modelpaper
2010
sec-a
q2
q2-b
asked
Apr 11, 2013
by
sreemathi.v
0
answers
By using properties of determinants,prove that the determinant $\begin{vmatrix}a & \sin x& \cos x\\-\sin x & -a & 1\\\cos x & 1 & a\end{vmatrix}$ is independent of x.
isc
class12
modelpaper
2010
sec-a
q2
q2-a
asked
Apr 11, 2013
by
sreemathi.v
0
answers
Find the equation and the length of the transverse and conjugate axis of the following hyperbola:$16x^{2}-9y^{2}+96x+36y-36=0$
tnstate
class12
bookproblem
ch4
sec-1
exercise4-3
p238
q2
q2-3
asked
Apr 11, 2013
by
poojasapani_1
1
answer
Find the equation and the length of the transverse and conjugate axis of the following hyperbola: $8y^{2}-2x^{2}=16$
tnstate
class12
bookproblem
ch4
sec-1
exercise4-3
p238
q2
q2-2
asked
Apr 11, 2013
by
poojasapani_1
1
answer
Find the equation and the length of the transverse and conjugate axis of the following hyperbola :$144x^{2}-25y^{2}=3600$
tnstate
class12
bookproblem
ch4
sec-1
exercise4-3
p238
q2
q2-1
asked
Apr 11, 2013
by
poojasapani_1
1
answer
Solve the following system of equations using matrix method : $\large\frac{2}{x}+\large\frac{3}{y}+\large\frac{10}{z}\normalsize=4,\large\frac{4}{x}-\large\frac{6}{y}+\large\frac{5}{z}\normalsize=1,\large\frac{6}{x}+\large\frac{9}{y}-\large\frac{20}{z}\normalsize=2$.
isc
class12
modelpaper
2011
sec-a
q2
q2-b
asked
Apr 11, 2013
by
sreemathi.v
0
answers
Using properties of determinants,show that $P\alpha^2+2q\alpha+r=0$,given that :p,q and r are not in G.P and $\begin{vmatrix}1 & \large\frac{q}{p} & \alpha+\large\frac{q}{p}\\1 & \large\frac{r}{q} & \alpha+\large\frac{r}{q}\\p\alpha+q &q\alpha+r &0\end{vmatrix}=0$.
isc
class12
modelpaper
2011
sec-a
q2
q2-a
asked
Apr 11, 2013
by
sreemathi.v
2
answers
If the centre of the ellipes is $(4 , -2 ) $ and one of the focus is $(4 , 2 ),$ find the other focus?
tnstate
class12
bookproblem
ch4
sec-1
exercise4-2
p217
q2
asked
Apr 10, 2013
by
poojasapani_1
1
answer
Find the product of the matrices A and B where : $A=\begin{pmatrix}-5 & 1 & 3\\7 & 1 &-5\\1 & -1 & 1\end{pmatrix},B=\begin{pmatrix}1 & 1 & 2\\3 & 2 & 1\\2 & 1& 3 \end{pmatrix}$Hence,solve the following equations by matrix method:$x+y+2z=1,3x+2y+z=7,2x+y+3z=2.$
isc
class12
modelpaper
2012
sec-a
q2
q2-b
asked
Apr 10, 2013
by
sreemathi.v
0
answers
Using properties of determinants,prove that : $\begin{vmatrix}a & a+b & a+b+c\\2a & 3a+2b & 4a+3b+2c\\3a & 6a+3b & 10a+6b+3c\end{vmatrix}=a^3$
isc
class12
modelpaper
2012
sec-a
q2
q2-a
asked
Apr 10, 2013
by
sreemathi.v
0
answers
If a matrix has 7 elements, what are the possible order it can have?
cbse
class12
modelpaper
2012
sec-a
q2
q2-2
ch3
easy
math
asked
Apr 10, 2013
by
sreemathi.v
1
answer
Find the axies, vertex, focus, equation of directrix , latus rectum , length of the latus rectum for the following parabolas and hence sketch their graphs. $x^{2}-6x-12y-3=0$.
tnstate
class12
bookproblem
ch4
sec-1
exercise4-1
p192
q2
q2-5
modelpaper
mar-2010
asked
Apr 9, 2013
by
poojasapani_1
1
answer
Find the axies, vertex, focus, equation of directrix , latus rectum , length of the latus rectum for the following parabolas and hence sketch their graphs. $y^{2}+8x-6y+1=0$.
tnstate
class12
bookproblem
ch4
sec-1
exercise4-1
p192
q2
q2-4
modelpaper
mar-2007
oct-2006
asked
Apr 9, 2013
by
poojasapani_1
1
answer
Find the axies, vertex, focus, equation of directrix , latus rectum , length of the latus rectum for the following parabolas and hence sketch their graphs. $(x-4)^{2}=4(y+2).$
tnstate
class12
bookproblem
ch4
sec-1
exercise4-1
p192
q2
q2-3
asked
Apr 9, 2013
by
poojasapani_1
1
answer
Find the axies, vertex, focus, equation of directrix , latus rectum , length of the latus rectum for the following parabolas and hence sketch their graphs.$x^{2}=20y $
tnstate
class12
bookproblem
ch4
sec-1
exercise4-1
p192
q2
q2-2
asked
Apr 9, 2013
by
poojasapani_1
1
answer
Find the axies, vertex, focus, equation of directrix , latus rectum , length of the latus rectum for the following parabolas and hence sketch their graphs. $y^{2}=-8x$
tnstate
class12
bookproblem
ch4
sec-1
exercise4-1
p192
q2
q2-1
asked
Apr 9, 2013
by
poojasapani_1
1
answer
Find the vector and cartesian equationof the sphere on the join of the points $A$ and $B$ having position vectors $\overrightarrow{2i}+\overrightarrow{6j}-\overrightarrow{7k}$ and $-\overrightarrow{2i}+\overrightarrow{4j}-\overrightarrow{3k}$ respectively as a diameter . Find also the centre and radius of the sphere.
tnstate
class12
bookproblem
ch2
sec-1
exercise2-11
p124
q2
asked
Apr 8, 2013
by
poojasapani_1
1
answer
Show that the following planes are at right angles.$\overrightarrow{r}(\overrightarrow{2i}-\overrightarrow{j}+\overrightarrow{k})=15$ and$ \overrightarrow{r}(\overrightarrow{i}-\overrightarrow{j}-\overrightarrow{3k})=3$
tnstate
class12
bookproblem
ch2
sec-1
exercise2-10
p118
q2
asked
Apr 8, 2013
by
poojasapani_1
1
answer
Can u draw a plane through the given two lines? justify your answer.$\overrightarrow{r}(\overrightarrow{i}+\overrightarrow{2j}-\overrightarrow{4k})+t (\overrightarrow{2i}+\overrightarrow{3j} +\overrightarrow{6k})$ and $ r=(\overrightarrow{3i}+\overrightarrow{3j}-\overrightarrow{5k})+ s(-\overrightarrow{2i}+\overrightarrow{3j}+\overrightarrow{8k})$
tnstate
class12
bookproblem
ch2
sec-1
exercise2-9
p116
q2
asked
Apr 8, 2013
by
poojasapani_1
1
answer
Find the unit normal vectors to the plane $2x-y+2z=5$
tnstate
class12
bookproblem
ch2
sec-1
exercise2-8
p111
q2
asked
Apr 7, 2013
by
poojasapani_1
1
answer
Show that the following two lines are skew lines: $\overrightarrow{r}=(\overrightarrow{3i}+\overrightarrow{5j}+\overrightarrow{7k})+ t (\overrightarrow{i}-\overrightarrow{2j}+\overrightarrow{k})$ and $\overrightarrow{r}=(\overrightarrow{i}+\overrightarrow{j}+\overrightarrow{k}) + s (\overrightarrow{7i}-\overrightarrow{6j}+\overrightarrow{7k})$
tnstate
class12
bookproblem
ch2
sec-1
exercise2-7
p100
q2
jun-2007
modelpaper
asked
Apr 7, 2013
by
poojasapani_1
1
answer
Can a vector have direction angles $45^{\circ}, 60^{\circ}, 120^{\circ}$?
tnstate
class12
bookproblem
ch2
sec-1
exercise2-6
p94
q2
q2-2
asked
Apr 6, 2013
by
poojasapani_1
1
answer
Can a vector have direction angles $30^{\circ},45^{\circ},60^{\circ}$?
tnstate
class12
bookproblem
ch2
sec-1
exercise2-6
p94
q2
q2-1
asked
Apr 6, 2013
by
poojasapani_1
1
answer
The volume of a parallelopiped whose edges are represented by $-\overrightarrow{12i}+\lambda\overrightarrow{k}, \overrightarrow{3j}-\overrightarrow{k}, \overrightarrow{2i}+\overrightarrow{j}-\overrightarrow{15k} $ is $546;\quad$ find the value of $\lambda$.
tnstate
class12
bookproblem
ch2
sec-1
exercise2-5
p87
q2
jun-2009
mar-2010
modelpaper
asked
Apr 5, 2013
by
poojasapani_1
1
answer
Find the area of the parallelogram whose diagonals are represented by $\overrightarrow{2i}+\overrightarrow{3j}+\overrightarrow{6k}$ and $\overrightarrow{3i}-\overrightarrow{6j}+\overrightarrow{2k}$
tnstate
class12
bookproblem
ch2
sec-1
exercise2-4
p77
q2
asked
Apr 5, 2013
by
poojasapani_1
1
answer
Simplify: $\Large\frac{\left (cos \;\alpha + \mathit{i} sin \; \alpha \right )^{3}}{\left (sin \;\beta + \mathit{i} cos \;\beta \right)^{4} } \Large$
tnstate
class12
bookproblem
ch3
sec3
exercise3-4
q2
p157
asked
Apr 4, 2013
by
geethradh
1
answer
If $|\overrightarrow{a}|=3, |\overrightarrow{b}|=4$ and $\overrightarrow{a}.\overrightarrow{b}=9$ than find $|\overrightarrow{a} \times \overrightarrow{b}|$
tnstate
class12
bookproblem
ch2
sec-1
exercise2-3
p72
q2
asked
Apr 4, 2013
by
poojasapani_1
1
answer
Solve the equation $x^{4}-4x^{3}+11x^{2}-14x+10=0$ if one root is $1+2i$.
tnstate
bookproblem
ch3
sec3
exercise3-3
q2
p152
jun-2009
modelpaper
asked
Apr 3, 2013
by
geethradh
1
answer
Prove by vector method, The mid point of the hypotenuse of a right angled tringle is equidistant from its vertices.
tnstate
class12
bookproblem
ch2
sec-1
exercise2-2
p62
q2
asked
Apr 3, 2013
by
poojasapani_1
1
answer
If $\overrightarrow{a} =\overrightarrow{i} + \overrightarrow{j}+\overrightarrow{2k}\; and\; \overrightarrow{b}=\overrightarrow{3i} +\overrightarrow{2j}-\overrightarrow{k}$ find $(\overrightarrow{a}+\overrightarrow{3b}) . (\overrightarrow{2a}-\overrightarrow{b})$
tnstate
class12
bookproblem
ch2
sec-1
exercise2-1
p56
q2
mar-2010
modelpaper
asked
Apr 2, 2013
by
poojasapani_1
1
answer
Discuss the solutions of the system of equations for all values of $\lambda$. $ x+y+z=2\;,2x+y-2z=2\;,\lambda\;x+y+4z=2$
tnstate
class12
bookproblem
ch1
sec-1
exercise1-5
p45
q2
jun-2006
jun-2007
mar-2007
modelpaper
sec-c
medium
asked
Apr 2, 2013
by
poojasapani_1
1
answer
Find the real and imaginary parts of the following complex numbers: $\left ( 2+i \right )\left ( 3-2i \right )$
tnstate
class12
bookproblem
ch3
sec3
exercise3-1
q2
q2-3
p130
asked
Apr 1, 2013
by
geethradh
1
answer
Find the real and imaginary parts of the following complex numbers: $\large\frac{2+5i}{4-3i}$
tnstate
class12
bookproblem
ch3
sec3
exercise3-1
p130
q2
q2-2
asked
Apr 1, 2013
by
geethradh
1
answer
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