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Recent questions tagged q17
Questions
If P and Q are equal matrices of same order such that PQ = QP, then prove by induction that $ PQ^n=Q^nP.$ Further, show that $(PQ)^n=P^n\times Q^n.$
cbse
class12
additionalproblem
kvquestionbank2012
ch3
q17
p8
math
sec-b
asked
Jan 24, 2013
by
meena.p
0
answers
Solve for x : $ \tan^{-1} \bigg(\large \frac{x-1}{x+1} \bigg) + \tan^{-1} \bigg( \frac{2x-1}{2x+1} \bigg) = \tan^{-1} \bigg( \frac{23}{36} \bigg). $
cbse
class12
modelpaper
ch2
2012
sec-b
q17
difficult
math
asked
Jan 24, 2013
by
thanvigandhi_1
1
answer
Prove that $ \tan^{-1} \large\frac{1}{7}$$ + 2\tan^{-1} \large\frac{1}{3} = \frac{\pi}{4} $
cbse
class12
modelpaper
ch2
2012
sec-b
q17
math
asked
Jan 24, 2013
by
thanvigandhi_1
1
answer
If $ x= cosec \lfloor\tan^{-1}\{\cos(\cot^{-1}(\sec(\sin^{-1}a)))\}\rfloor\; $ and $ y=\sec\lfloor\cot^{-1}\{\sin(\tan^{-1}(cosec(\cos^{-1}a)))\}\rfloor\;$ where $\;a\;\in [0,1]$ Find the relationship between $x$ and $y$ in terms of $a$
cbse
class12
additionalproblem
kvquestionbank2012
ch2
q17
p6
difficult
sec-c
math
asked
Jan 24, 2013
by
meena.p
1
answer
Show that the relation "“congruence modulo 2"” on the set Z (set of integers) is an equivalence relation. Also find the equivalence class of 1.
cbse
class12
additionalproblem
kvquestionbank2012
ch1
q17
p3
math
sec-b
asked
Jan 23, 2013
by
meena.p
0
answers
Evaluate : $\int \large\frac{\cos x}{(1+\sin x)(2+\sin \: x)} $$dx$
cbse
class12
modelpaper
2012
sec-b
q17
math
asked
Jan 23, 2013
by
thanvigandhi_1
0
answers
Evaluate : $ \int \large\frac{\log x }{(1+\log\: x)^2}$$dx$
cbse
class12
modelpaper
2012
sec-b
q17
math
asked
Jan 23, 2013
by
thanvigandhi_1
0
answers
Evaluate : $ \int \large\frac{\sin^{-1}x}{x^2}$$dx$
cbse
class12
modelpaper
2012
sec-b
q17
math
asked
Jan 21, 2013
by
thanvigandhi_1
0
answers
Evaluate : $ \int\large \frac{e^x}{\sqrt {5-4e^x-e^{2x}}}$$dx$
cbse
class12
modelpaper
2012
sec-b
q17
math
asked
Jan 21, 2013
by
thanvigandhi_1
0
answers
Find the general solution of the differential equation $(1+y^2)+(x-e^{\large\tan^{-1}y})\Large \frac{dy}{dx}$=0
cbse
class12
ch9
sec-b
q17
p194
short-answer
exemplar
medium
math
asked
Jan 18, 2013
by
sreemathi.v
1
answer
Show that the area of the parallelogram whose diagonals are given by $\overrightarrow{a}$ and $\overrightarrow{b}$ is $\frac{\mid \overrightarrow{a} \times \overrightarrow{b}\mid}{2}$.Also find the area of the parallelogram whose diagonals are $2\hat i+\hat j+\hat k$ and $\hat i+3\hat j+\hat k$.
cbse
class12
ch10
q17
p216
exemplar
easy
sec-b
math
asked
Jan 17, 2013
by
sreemathi.v
1
answer
Evaluate : $ \int \large\frac{2x+1}{\sqrt {x^2+4x+3}}$$dx$
cbse
class12
modelpaper
2012
sec-b
q17
math
asked
Jan 17, 2013
by
thanvigandhi_1
0
answers
Evaluate : $ \int \large\frac{xe^x}{(x+1)^2}$$dx.$
cbse
class12
modelpaper
2012
sec-b
q17
math
asked
Jan 17, 2013
by
thanvigandhi_1
0
answers
Evaluate : $ \int_0^{\large\frac{\pi}{2}} \large\frac{x \sin x}{1+\sin x}$$dx $
cbse
class12
modelpaper
2012
sec-b
q17
math
asked
Jan 16, 2013
by
thanvigandhi_1
0
answers
Evaluate : $ \int_0^{\Large\frac{\pi}{4}} \log(1+tan \: x) dx.$
cbse
class12
modelpaper
2012
sec-b
q17
math
asked
Jan 16, 2013
by
thanvigandhi_1
0
answers
Find the area bounded by the curve y=sinx between $x=0$ and $x=2\pi$.
cbse
class12
ch8
q17
p177
exemplar
sec-b
easy
math
asked
Jan 16, 2013
by
sreemathi.v
1
answer
$ \int \large\frac{2+\sin x}{1+\cos x}e^{\Large\frac{x}{2}}$$dx. $
cbse
class12
modelpaper
2012
sec-b
q17
math
asked
Jan 15, 2013
by
thanvigandhi_1
0
answers
Evaluate the following $\int\sqrt {5-2x+x^2}dx$
cbse
class12
ch7
q17
p164
exemplar
sec-a
medium
math
asked
Jan 14, 2013
by
sreemathi.v
1
answer
Evaluate : $ \int \large\frac{dx}{x[6(log \: x)^2]+7( log \: x)+2}$$dx.$
cbse
class12
modelpaper
2012
sec-b
q17
math
asked
Jan 11, 2013
by
thanvigandhi_1
0
answers
Find the equation of the normal lines to the curve $3x^2-y^2=8$ which are parallel to the line x+3y=4.
cbse
class12
ch6
q17
p136
short-answer
exemplar
difficult
sec-b
math
asked
Jan 11, 2013
by
sreemathi.v
1
answer
Evaluate : $\int \large\frac{2\sin\: x+3\cos \: x}{3\sin \: x + 4 \cos \: x} $$dx.$
cbse
class12
modelpaper
2012
sec-b
q17
math
asked
Jan 10, 2013
by
thanvigandhi_1
0
answers
Evaluate : $ \int \ (x+3) \sqrt {3-4x-x^2} dx. $
cbse
class12
modelpaper
2012
sec-b
q17
math
asked
Jan 10, 2013
by
thanvigandhi_1
0
answers
Evaluate $\int\large \frac{3x-2}{(1+x^2)(x+3)}$$dx.$
cbse
class12
modelpaper
2012
sec-b
q17
math
asked
Jan 10, 2013
by
thanvigandhi_1
0
answers
Evaluate $\int\large \frac{\sin(x-\alpha)}{\sin(x+\alpha)}$$dx.$
cbse
class12
modelpaper
2012
sec-b
q17
math
asked
Jan 10, 2013
by
thanvigandhi_1
0
answers
Evaluate : $ \int \frac{\large cos(x+a)}{\large sin(x+b)}dx$
cbse
class12
modelpaper
2012
sec-b
q17
math
asked
Jan 9, 2013
by
thanvigandhi_1
0
answers
Evaluate : $ \int \sin x \sqrt {1+\cos\: x} dx.$
cbse
class12
modelpaper
2012
sec-b
q17
math
asked
Jan 9, 2013
by
thanvigandhi_1
0
answers
Bag I contains 3 black and 2 white balls,Bag II contains 2 black and 4 white balls.A bag and a ball is selected at random .Determine the probability of selecting a black ball.
cbse
class12
ch13
q17
p273
short-answer
exemplar
sec-a
easy
math
asked
Jan 9, 2013
by
sreemathi.v
1
answer
A firm has to transport 1200 packages using large vans which can carry 200 packages each and small vans which can take 80 packages each.The cost for engaging each large van is Rs 400 and each small van is Rs 200.Not more than Rs 3000 is to be spent on the job and the number of large vans cannot exceed the number of small vans.What will be the minimum cost?
cbse
class12
ch12
q17
p253
exemplar
sec-c
difficult
math
asked
Jan 7, 2013
by
sreemathi.v
1
answer
Evaluate : $\int \large\frac{x^2+1}{x^4+1}$$dx.$
cbse
class12
modelpaper
2012
sec-b
q17
math
asked
Jan 7, 2013
by
thanvigandhi_1
0
answers
Evaluate : $\large\frac{dx}{\sqrt {5-4x-2x^2}} $
cbse
class12
modelpaper
2012
sec-b
q17
math
asked
Jan 4, 2013
by
thanvigandhi_1
0
answers
Evaluate : $ \int x\sin^{-1}x dx $
cbse
class12
modelpaper
2012
sec-b
q17
math
asked
Jan 4, 2013
by
thanvigandhi_1
0
answers
Evaluate : $ \int x^2\cot^{-1}xdx $
cbse
class12
modelpaper
2012
sec-b
q17
math
asked
Jan 4, 2013
by
thanvigandhi_1
0
answers
Find the distance of a point(2,4,-1) from the line $\large \frac{x-5}{1}\;=\frac{y-3}{4}\;=\frac{z-6}{-9}$
cbse
class12
ch11
q17
p236
exemplar
medium
sec-c
sec-b
math
asked
Jan 3, 2013
by
sreemathi.v
1
answer
Evaluate $ \int\large\frac{dx}{x[6(\log x)^2+7(\log x)+2]} $
cbse
class12
modelpaper
2012
sec-b
q17
math
asked
Jan 3, 2013
by
thanvigandhi_1
0
answers
Evaluate : \[ (i) \int \: (x-3) \sqrt {x^2+4x+3} dx \] \[ (ii) \int \: (3x+5) \sqrt {2x^2+3x+7} dx \] \[ (iii) \int \: (x-4) \sqrt {4+x-x^2} dx \] \[ (iv) \int \: (5x-1) \sqrt {6+5x-2x^2} dx \]
cbse
class12
modelpaper
2012
sec-b
q17
math
asked
Jan 2, 2013
by
thanvigandhi_1
0
answers
Given the function $ f(x)=\large\frac{1}{x+2}.$Find the points of discontinuity of the composite function $y=f(f(x)).$
cbse
class12
ch5
q17
p108
short-answer
exemplar
sec-b
medium
math
asked
Dec 31, 2012
by
sreemathi.v
1
answer
Evaluate : $ \int \: \bigg[ \large\frac{1}{log \: x} - \large\frac{1}{(log\: x )^2} \bigg]$$ dx. $
cbse
class12
modelpaper
2012
sec-b
q17
math
asked
Dec 31, 2012
by
thanvigandhi_1
0
answers
Evaluate :$ \int_1^4\: ( | x-1|+ | x-2 | + | x=3 | ) dx $
cbse
class12
modelpaper
2012
sec-b
q17
math
asked
Dec 29, 2012
by
thanvigandhi_1
0
answers
Evaluate : $ \int\: e^x \bigg(\large \frac{x^2+1}{(x+1)^2} \bigg)$$ dx $
cbse
class12
modelpaper
2012
sec-b
q17
math
asked
Dec 29, 2012
by
thanvigandhi_1
0
answers
Evaluate : $ \int_{-1}^{\Large\frac{1}{2}} \mid x\cos ( \pi\: x ) \mid dx $
cbse
class12
modelpaper
2011
sec-b
q17
math
asked
Dec 28, 2012
by
thanvigandhi_1
0
answers
Find $A^{-1}$ if $A=\begin{bmatrix}0 & 1 & 1\\1 & 0 & 1\\1 & 1 & 0\end{bmatrix}$ and show that $ A^{-1}=\Large \frac{A^2-3I}{2}$
cbse
class12
ch4
sec-c
q17
p79
short-answer
exemplar
medium
math
asked
Dec 26, 2012
by
sreemathi.v
1
answer
Evaluate :$\int\: \large\frac{\sin x + \cos x}{\sqrt{\sin x - \cos x }} $$dx$
cbse
class12
modelpaper
2012
sec-b
q17
math
asked
Dec 25, 2012
by
thanvigandhi_1
0
answers
Evaluate :$ \int_0^{\large\frac{\pi}{2}} \log\sin\: x\:dx $
cbse
class12
modelpaper
2012
sec-b
q17
math
asked
Dec 25, 2012
by
thanvigandhi_1
0
answers
: If the given lines \( \frac{x-1}{-3} = \frac{y-2}{2k} = \frac{z-3}{2} \) and \( \frac{x-1}{3k} = \frac{y-1}{1} = \frac{z-6}{-5} \) are perpendicular, then k is \[ \begin{array} (A)\: -10 \quad & (B) \: \frac{10}{7} \\ (C)\: \frac{-10}{7} \quad & (D)\: \frac{-7}{10} \end{array} \]
cbse
class12
modelpaper
2012
sec-a
q17
math
asked
Dec 23, 2012
by
thanvigandhi_1
0
answers
Given $A=\begin{bmatrix}2 & 4 & 0\\3 & 9 & 6\end{bmatrix}\;and\;B=\begin{bmatrix}1& 4\\2 & 8\\1 & 3\end{bmatrix}.\;Is \;(AB)'=B'A'?$
cbse
class12
ch3
q17
p54
short-answer
exemplar
easy
sec-b
math
asked
Dec 22, 2012
by
sreemathi.v
1
answer
Using properties of determinants, prove the following : $\begin {bmatrix} 1 & 1 + p & 1 + p + q \\ 2 & 3 + 2p & 1 + 3p + 2q \\ 3 & 6 + 3p & 1 + 6p + 3q \end{bmatrix} = 1 $
cbse
class12
modelpaper
2009
sec-b
q17
math
asked
Dec 21, 2012
by
thanvigandhi_1
0
answers
Find the value of $4\tan^{-1}{\large \frac{1}{5}}$$-\tan^{-1}{\large\frac{1}{239}}$
cbse
class12
ch2
q17
p36
exemplar
difficult
sec-c
math
asked
Dec 20, 2012
by
sreemathi.v
1
answer
Evaluate : $ \int_0^\pi \mathrm \:\large\frac{x\sin x}{1+\cos^2x}$$ dx $
cbse
class12
modelpaper
2008-1
sec-b
q17
math
asked
Dec 20, 2012
by
thanvigandhi_1
0
answers
Let $R$ be relation defined on the set of natural number $N$ as follows:\[R=\{(x,y):x\;\;\;N,y\;\;\;N,2x+y=41\}.\]Find the domain and range of the relation R.Also verify whether R is reflexive,symmetric and transitive.
cbse
class12
ch1
q17
p12
exemplar
sec-b
math
asked
Dec 18, 2012
by
sreemathi.v
1
answer
Find the shortest distance between the lines whose vector equations are $ \overrightarrow r = ( 1 - t ) \hat i + ( t - 2 )\hat j + ( 3 - 2t )\hat k$ and $ \overrightarrow r = ( s + 1 )\hat i + ( 2s - 1 )\hat j - (2s + 1)\hat k $
cbse
class12
bookproblem
ch11
sec2
q17
p478
p382
easy
sec-b
math
asked
Dec 14, 2012
by
thanvigandhi_1
1
answer
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