Email
Chat with tutors
Login
Ask Questions, Get Answers
Menu
X
home
ask
tuition
questions
practice
papers
mobile
tutors
pricing
X
Recent questions tagged q11
Questions
Find the area of a parallelogram whose diagonals are determined by the vectors $\overrightarrow{a}=3i+j-2k$ and $\overrightarrow{b}=i-3j+4k$
isc
class12
modelpaper
2009
sec-b
q11
q11-a
asked
Apr 15, 2013
by
sreemathi.v
0
answers
Find the equation of the plane passing through the line of intersection of the planes $x+2y+3z-4=0$ and $3z-y=0$ and perpendicular to the plane $3x+4y-2z+6=0$.
isc
class12
modelpaper
2010
sec-b
q11
q11-b
asked
Apr 12, 2013
by
sreemathi.v
0
answers
Find the shortest distance between the lines whose vector equations are :$\overrightarrow{r}=(4\hat{i}-\hat{j}+2\hat{k})+\lambda(\hat{i}+2\hat{j}-3\hat{k})$ and $\overrightarrow{r}=(2\hat{i}+\hat{j}-\hat{k})+\mu(3\hat{i}+2\hat{j}-4\hat{k})$.
isc
class12
modelpaper
2010
sec-b
q11
q11-a
asked
Apr 12, 2013
by
sreemathi.v
0
answers
Find the equation of the plane passing through the points $A(2,1,-3),B(-3,-2,1)$ and $C(2,4,-1).$
isc
class12
modelpaper
2011
sec-b
q11
q11-b
asked
Apr 11, 2013
by
sreemathi.v
0
answers
Find the vector equation of the line passing through the points $(-1,2,1)$ and parallel to the line $\overrightarrow{r}=2\hat{i}+3\hat{j}-\hat{k}+\lambda\big(\overrightarrow{i}-2\hat{j}+\hat{k}\big)$.Also,find the distance between these lines.
isc
class12
modelpaper
2011
sec-b
q11
q11-a
asked
Apr 11, 2013
by
sreemathi.v
0
answers
Find the equation of the plane passing through the line of intersection of the planes $x+2y+3z-5=0$ and $3x-2y-z+1=0$ and cutting off equal intercepts on the x and z axes.
isc
class12
modelpaper
2012
sec-b
q11
q11-b
asked
Apr 10, 2013
by
sreemathi.v
0
answers
Find the shortest distance between the lines : $\large \frac{x-8}{3}=\frac{y+9}{-16}=\frac{z-10}{7}$ and $\large \frac{x-15}{3}=\frac{y-29}{8}=\frac{5-z}{-5}$
isc
class12
modelpaper
2012
sec-b
q11
q11-a
asked
Apr 10, 2013
by
sreemathi.v
0
answers
Find the vector and cartesian equations of the plane through the points $(1 , 2 , 3 )$and $(2 , 3 , 1 )$ perpendicular to the plane $ 3x-2y+4z-5=0$
modelpaper
tnstate
class12
bookproblem
ch2
sec-1
exercise2-8
p111
q11
mar-2006
oct-2006
oct-2007
jun-2008
asked
Apr 8, 2013
by
poojasapani_1
1
answer
Find$ (\overrightarrow{a}\times\overrightarrow{b}) . (\overrightarrow{c}\times\overrightarrow{d}) $if $\overrightarrow{a}=\overrightarrow{i}+\overrightarrow{j}+\overrightarrow{k}, \overrightarrow{b}=\overrightarrow{2i}+\overrightarrow{k}, \overrightarrow{c}=\overrightarrow{2i}+\overrightarrow{j}+\overrightarrow{k}, \overrightarrow{d}=\overrightarrow{i}+\overrightarrow{j}+\overrightarrow{2k}$
tnstate
class12
bookproblem
ch2
sec-1
exercise2-5
p88
q11
asked
Apr 6, 2013
by
poojasapani_1
1
answer
Without expanding evaluate the determinent $\begin{vmatrix} (a^x+a^{-x})^2 & (a^x-a^{-x})^2 & 1 \\ (a^y+a^{-y})^2 & (a^y-a^{-y})^2 & 1 \\ (a^z+a^{-z})^2 & (a^z-a^{-z})^2 & 1 \end{vmatrix}$ where $a>0$ ,and $x,y,z \in R$
cbse
class12
ch4
sec-b
q11
additionalproblem
difficult
math
asked
Apr 3, 2013
by
meena.p
1
answer
Let $\overrightarrow{u},\overrightarrow{v}$ and $\overrightarrow{w}$ be vector such that $\overrightarrow{u}+\overrightarrow{v}+\overrightarrow{w}=\overrightarrow{0}.$ If $|\overrightarrow{u}|=3, |\overrightarrow{v}|=4$ and $|\overrightarrow{w}|=5$ than find $\overrightarrow{u}.\overrightarrow{v}+\overrightarrow{v}.\overrightarrow{w}+\overrightarrow{w}.\overrightarrow{u}$
tnstate
class12
bookproblem
ch2
sec-1
exercise2-1
p56
q11
asked
Apr 3, 2013
by
poojasapani_1
1
answer
Differentiate the following with respect to $x: \sin^{-1}\bigg(\large \frac{2^{x+1}.3^x}{1+(36)^x}\bigg)$
cbse
class12
modelpaper
2013
sec-b
q15
65-1
q11
65-2
65-3
math
asked
Mar 20, 2013
by
sreemathi.v
1
answer
Consider $( f:R_+ \to [4,\infty)$ given by $(f(x)=x^2 +4)$. Show that $(f)$ is invertible with the inverse $(f^{-1})$ of $(f)$ given by $(f^{-1}(y) = \sqrt {y-4})$,where $R_+$ is the set of all non-negative real numbers.
cbse
class12
modelpaper
2013
sec-b
medium
q11
65-1
q15
65-2
q18
65-3
math
asked
Mar 20, 2013
by
sreemathi.v
1
answer
If the coordinates of the vertices of an equilateral triangle with sides of length 'a' are $(x_1,y_1),(x_2,y_2),(x_3,y_3)$ then \[{\begin{vmatrix}x_1 & y_1 &1\\x_2 & y_2 &1\\x_3 & y_3 & 1\end{vmatrix}}^2=\frac{3a^4}{4}.\]
cbse
class12
ch4
sec-b
q11
p78
short-answer
exemplar
difficult
math
asked
Mar 15, 2013
by
sreemathi.v
1
answer
Let $S=\{a,b,c\}\;$ and$ \;T = \{1,2,3\}$. Find $F^{-1}$ of the following functions \(F\) from \(S\) to \(T\), if it exists - - $(ii)\;\; F=\{(a,2), (b,1), (c,1)\}$
cbse
class12
bookproblem
ch1
misc
q11
q11-2
p30
sec-a
math
asked
Mar 13, 2013
by
sreemathi.v
1
answer
By using the properties of determinants show that $ (ii) \begin{vmatrix} x+y+2z&x&y \\ z&y+z+2x&y \\ z&x&z+x+2y \end{vmatrix} = 2(x+y+z)^3 $
cbse
class12
bookproblem
ch4
sec2
q11
q11-2
p120
medium
sec-b
math
asked
Mar 11, 2013
by
sreemathi.v
1
answer
If \( \overrightarrow a \times \overrightarrow b=\overrightarrow c \times \overrightarrow d\: and \: \overrightarrow a \times \overrightarrow c=\overrightarrow b \times \overrightarrow d\) show that \( \overrightarrow a-\overrightarrow d\) is parallel to \( \overrightarrow b-\overrightarrow c\) where \( \overrightarrow a \neq \overrightarrow d\: and \overrightarrow b \neq\overrightarrow c\)
cbse
class12
modelpaper
2012
sec-b
q11
easy
math
asked
Feb 17, 2013
by
thanvigandhi_1
1
answer
Let T be the set of all triangles in a plane with R as relation in T given by \( R = {(T_1,T_2): T_1 \cong T_2}\). Show that R is an equivalence relation.
cbse
class12
modelpaper
2012
sec-b
q11
easy
math
asked
Feb 15, 2013
by
thanvigandhi_1
1
answer
Prove the following : \[ cos^{-1} \bigg( \frac{4}{5} \bigg)+ cos^{-1} \bigg( \frac{12}{13} \bigg)= cos^{-1} \bigg( \frac{33}{65} \bigg) \]
cbse
class12
modelpaper
2012
sec-b
q11
easy
math
asked
Feb 11, 2013
by
thanvigandhi_1
1
answer
Solve the following for x \[ tan^{-1}x+2cot^{-1}x=\frac{2\pi}{3} \]
cbse
class12
modelpaper
2012
sec-b
q11
math
asked
Feb 11, 2013
by
thanvigandhi_1
1
answer
Prove that $\bigg( tan \bigg( \frac{\pi}{4}+\frac{1}{2} cos^{-1}\frac{a}{b} \bigg)+tan \bigg(\frac{\pi}{4}-\frac{1}{2} cos^{-1}\frac{a}{b} \bigg) = \frac{2b}{a} \bigg)$
cbse
class12
modelpaper
ch2
2012
sec-b
q11
difficult
math
asked
Feb 9, 2013
by
thanvigandhi_1
1
answer
If the function $( f : R \rightarrow R )$ is given by $( f(x) =\large \frac{x+3}{2} )$ and $( g : R \rightarrow R)$ is given by $( g(x)=2x-3,)$ find (i) fog and (ii) gof. Is $( f^{-1}=g)$?
cbse
class12
modelpaper
2012
sec-b
q11
medium
math
asked
Feb 9, 2013
by
thanvigandhi_1
1
answer
Prove that \( tan^{-1}\sqrt x = \frac{1}{2}cos^{-1} \bigg(\frac{1-x}{1+x} \bigg), x \in [0,1].\)
cbse
class12
modelpaper
ch2
2012
sec-b
q11
medium
math
asked
Feb 8, 2013
by
thanvigandhi_1
1
answer
Solve the equation \( sin^{-1}6x+sin^{-1}6\sqrt 3 x = -\frac{\pi}{2}. \)
cbse
class12
modelpaper
ch2
2012
sec-b
q11
medium
math
asked
Feb 8, 2013
by
thanvigandhi_1
1
answer
Prove that \( \tan^{-1} \large\frac{63}{16}=\sin^{-1}\bigg( \large\frac{5}{13} \bigg) + \cos^{-1} \bigg( \large\frac{3}{5} \bigg). \)
cbse
class12
modelpaper
ch2
2012
sec-b
q11
medium
math
asked
Feb 7, 2013
by
thanvigandhi_1
1
answer
Prove, using properties of determinants: $\begin{vmatrix} x+y+2z & x & y \\ z & y+z+2x & y \\ z & x & z+x+2y \end{vmatrix} = 2(x+y+z)^3 $
cbse
class12
modelpaper
2012
sec-b
q11
ch4
bookproblem
sec2
q11-2
p120
math
asked
Feb 6, 2013
by
thanvigandhi_1
0
answers
Consider \( f : R_+ \rightarrow [ 4, \infty ]\) given by \( f(x)=x^2+4\). Show that f is invertible with the inverse \( (f^{-1}) \) of f given by \( f^{-1}(y)=\sqrt{y-4}\) where \( R_+\) is the set of all non-negative real numbers.
cbse
class12
modelpaper
2012
sec-b
q11
math
asked
Feb 6, 2013
by
thanvigandhi_1
1
answer
Given that the two numbers appearing on two dice are different. Find the probability of the event 'the sum of numbers on the dice is 4'.
cbse
class12
additionalproblem
kvquestionbank2012
ch13
q11
p41
math
asked
Feb 5, 2013
by
meena.p
0
answers
Prove the following : $ \tan^{-1} \bigg(\large\frac{1}{2} \bigg) + \tan^{-1} \bigg( \large\frac{1}{5} \bigg) + \tan^{-1} \bigg( \frac{1}{8} \bigg)=\large\frac{\pi}{4} $
cbse
class12
modelpaper
ch2
2012
sec-b
q11
medium
math
asked
Feb 5, 2013
by
thanvigandhi_1
1
answer
Find the foot of the perpendicular drawn from the point A(1,0,3) to the join of the points B(4,7,1) and C(3,5,3)
cbse
class12
additionalproblem
kvquestionbank2012
ch11
q11
p37
math
asked
Feb 5, 2013
by
meena.p
1
answer
A binary operation * on the set (0,1,2,3,4,5} is defined as : $ f(x) = \left\{ \begin{array}{l l}a+b, & \quad if { a+b < 6} \\ a+b-6, & \quad if { a+b \geq 6} \end{array} \right. $ Show that zero is the identity for this operation and each element 'a' of the set is invertible with 6-a, being the inverse of 'a'.
cbse
class12
modelpaper
2012
sec-b
q11
medium
math
asked
Feb 5, 2013
by
thanvigandhi_1
1
answer
Vectors $ 2\bar{i}-\bar{j}+2\bar{k}\;and\;\bar{i}+\bar{j}-3\bar{k}$ act along two adjacent sides of a parallelogram. Find the angle between the diagonals of the parallelogram.
cbse
class12
additionalproblem
kvquestionbank2012
ch10
q11
p35
easy
sec-b
math
asked
Feb 4, 2013
by
meena.p
1
answer
Solve:\[\frac{dy}{dx}=\cos ^3x\sin^4x+x\sqrt {2x+1}\]
cbse
class12
additionalproblem
kvquestionbank2012
ch9
q11
p33
sec-b
math
asked
Feb 4, 2013
by
meena.p
0
answers
Using properties of determinants, prove the following : $\begin{vmatrix} x+4 & 2x & 2x \\ 2x & x+4 & 2x \\ 2x & 2x & x+4 \end{vmatrix}=(5x+4)(4-x)^2 $
cbse
class12
modelpaper
2012
sec-b
q11
math
asked
Feb 4, 2013
by
thanvigandhi_1
1
answer
Using integration find the area of the triangle ABC where A is (2,3) B(4,7) and C(6,2)
cbse
class12
additionalproblem
kvquestionbank2012
ch8
q11
p31
math
asked
Feb 4, 2013
by
meena.p
0
answers
Solve \( \tan^{-1}(x+1)+tan^{-1}(x-1)=tan^{-1}\large\frac{8}{31} \).
cbse
class12
modelpaper
ch2
2012
sec-b
q11
medium
math
asked
Feb 4, 2013
by
thanvigandhi_1
1
answer
Show that the relation R in the set \( A = ( x ; x \in Z, 0 \leq x \leq 12)\) given by \( R = \{(a,b) : |a-b| \) is divisible by 4} is an equivalence relation. Find the set of all elements related to 1.
cbse
class12
modelpaper
2012
sec-b
q11
math
asked
Feb 3, 2013
by
thanvigandhi_1
0
answers
Let * be binary operation of N x N defined by (a,b)*(c,d)=(a+c,b+d). Show that * is commutative as well as associative. Find the identity element for the operation * on N x N, if any.
cbse
class12
modelpaper
2012
sec-b
q11
math
asked
Feb 2, 2013
by
thanvigandhi_1
0
answers
Given relation R is the set Z of all integers is given by \( R= \{(a,b) \in Z \times Z, a-b\) is an integer }. Find whether R is an equivalence relation or not.
cbse
class12
modelpaper
2012
sec-b
q11
math
asked
Feb 2, 2013
by
thanvigandhi_1
0
answers
Solve : $ \tan^{-1}2x+tan^{-1}3x = \large\frac{\pi}{4}. $
cbse
class12
modelpaper
ch2
2012
sec-b
q11
math
asked
Feb 2, 2013
by
thanvigandhi_1
1
answer
Given relation R in the set Z of all integers is given by \( R = {(a,b) \in Z * Z\: a-b \: is\: an\: integer }\). Find whether R is an equivalence relation or not.
cbse
class12
modelpaper
2012
sec-b
q11
math
asked
Jan 31, 2013
by
thanvigandhi_1
0
answers
Let * be binary operation of N x N defined by (a,b)*(c,d)=(a+c, b+d). Show that * is commutative as well as associative. Find the identity element for the operation * on N x N, if any.
cbse
class12
modelpaper
2012
sec-b
q11
math
asked
Jan 31, 2013
by
thanvigandhi_1
0
answers
$\Large\int \frac {x+\sin x}{1+\cos x} \normalsize dx=$\[(a)\;\tan \frac{x}{2}\qquad (b)\;x\tan \frac{x}{2}\qquad(c)\;\cot \frac{x}{2}\qquad(d)\;x \cot \frac{x}{2}\]
cbse
class12
additionalproblem
kvquestionbank2012
ch7
q11
p24
math
asked
Jan 31, 2013
by
meena.p
0
answers
Show that the function \( f : Z \rightarrow Z \) defined by \( f(x)=x^2\) is neither one-one nor onto.
cbse
class12
modelpaper
2012
sec-b
q11
math
asked
Jan 30, 2013
by
thanvigandhi_1
1
answer
Let L be the set of all lines in a plane and R be thr relation in L defined as \( \{(L_1, L_2):L_1\) is perpendicular to \( L_2 \}. \) Show that R is symmetric but neither reflexive nor transitive.
cbse
class12
modelpaper
2012
sec-b
q11
math
asked
Jan 30, 2013
by
thanvigandhi_1
0
answers
Differentiate $\sin \sqrt{x}$ w.r.t. x from first principles
cbse
class12
modelpaper
2005
sec-a
q11
math
asked
Jan 30, 2013
by
fingeazy
0
answers
Show that the function \( f ; R \rightarrow R\) given by \( f(x)=7x-11\) is a bijection.
cbse
class12
modelpaper
2012
sec-b
q11
math
asked
Jan 29, 2013
by
thanvigandhi_1
0
answers
The function $ \Large\frac{\sin(x+\alpha)}{\sin(x+\beta)}$ has no maximum or minimum value if \[(a)\;\beta-\alpha=k\pi\qquad(b)\;\beta-\alpha \neq k\pi\qquad(c)\;\beta-\alpha = 2k\pi\qquad(d)\;None\; of\; these\; where\; k\; is\; an\; integer.\]
cbse
class12
additionalproblem
kvquestionbank2012
ch6
q11
p16
math
asked
Jan 28, 2013
by
meena.p
0
answers
Let A = set of workers in a publication house. Let a R b, if and only if a and b tell lie; \( a,b \in A \) (i) Is R symmetric relation? (ii) Is this relation an equivalence relation?
cbse
class12
modelpaper
2012
sec-b
q11
math
asked
Jan 28, 2013
by
thanvigandhi_1
0
answers
Show that the R defined on the set A of all triangles as $R = \{(T_1, T_2): T_1$ is similar to $T_2 \}$ is an equivalence relation. Consider three right-angled triangles \( T_1\) with sides 3, 4, 5, \( T_2\) with sides 5, 12, 13 and \( T_3\) with sides 6, 8, 10. Which triangles among \( T_1, T_2 and T_3\) are related?
cbse
class12
modelpaper
2012
sec-b
q11
math
asked
Jan 27, 2013
by
thanvigandhi_1
0
answers
Page:
« prev
1
...
3
4
5
6
7
8
9
next »
Home
Ask
Tuition
Questions
Practice
Your payment for
is successful.
Continue
...