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Recent questions tagged q26
Questions
If A is a non-singular matrix of order 3 and |A| = - 4 Find |adj A|
cbse
class12
additionalproblem
kvquestionbank2012
ch3
q26
p8
math
sec-a
asked
Jan 24, 2013
by
meena.p
0
answers
Find the equation of the plane passing through the points (1,2,3) and (0,-1,0) and parallel to the line $\large \frac{x-1}{2} = \frac{y+2}{3} = \frac{z}{-32}.$
cbse
class12
modelpaper
2012
sec-c
q26
math
asked
Jan 24, 2013
by
thanvigandhi_1
0
answers
Find the Cartesian as well as the vector equation of the plants passing through the intersection of the plants $\overset \rightharpoonup {r}. (2 \hat{i} + 6 \hat{j}) + 12 = 0$ and $\overset \rightharpoonup {r}. (3 \hat{i} - \hat{j} + 4 \hat{k}) = 0$. Which are at unit distance from the origin?
cbse
class12
modelpaper
2005
sec-b
q26
math
asked
Jan 24, 2013
by
fingeazy
0
answers
A bill was drawn on April 4, 2004 at 8 months after date and was discounted on July 14, 2004 at 5% per annum. If the Banker's gain is Rs.200, find the face value of the bill.
cbse
class12
modelpaper
2005
sec-c
q26
math
asked
Jan 24, 2013
by
fingeazy
0
answers
Evaluate : $\int_0^{\pi} \large\frac{x\: \sin x}{1+\cos^2x}$$dx $
cbse
class12
modelpaper
2012
sec-c
q26
math
asked
Jan 23, 2013
by
thanvigandhi_1
0
answers
Evaluate : $ \int_0^3 (x^2+2x) dx$ as limit of sum.
cbse
class12
modelpaper
2012
sec-c
q26
math
asked
Jan 23, 2013
by
thanvigandhi_1
0
answers
Show that the function $ f:N \rightarrow N$ given by $f(x) = x -(-1)^x\;for\;all\;x\; \varepsilon\;N $ is a bijection.
cbse
class12
additionalproblem
kvquestionbank2012
ch1
q26
p4
math
sec-b
asked
Jan 23, 2013
by
meena.p
0
answers
Find the particular solution of the differential equation $ (x^2+1)\large\frac{dy}{dx}$$-2xy=(x^4+2x^2+1)\cos \: x ; y=0, \: when\: x = 0.$
cbse
class12
modelpaper
2012
sec-c
q26
math
asked
Jan 22, 2013
by
thanvigandhi_1
0
answers
Find the particular solution of the differential equation .$ (xdy-ydx)y. \sin \bigg(\large\frac{y}{x} \bigg) =$$ (ydx-xdy) x \cos \bigg(\large \frac{y}{x} \bigg)$ given that \( y= \pi, \: when \: x=3\)
cbse
class12
modelpaper
2012
sec-c
q26
math
asked
Jan 21, 2013
by
thanvigandhi_1
0
answers
FInd the general solution of $(1+\tan y)(dx-dy)+2xdy=0$
cbse
class12
ch9
sec-a
q26
p194
exemplar
difficult
math
asked
Jan 18, 2013
by
sreemathi.v
1
answer
For any vector $\overrightarrow{a}$,the value of $(\overrightarrow{a}.\hat i)^2+ (\overrightarrow{a}.\hat j)^2+ (\overrightarrow{a}.\hat k)^2 $ is equal to
cbse
class12
ch10
q26
p218
exemplar
easy
sec-a
math
asked
Jan 17, 2013
by
sreemathi.v
1
answer
Evaluate : $ \int\large \frac{x^2+x+1}{(x^2+1)(x+2)}$$dx.$
cbse
class12
modelpaper
2012
sec-c
q26
math
asked
Jan 16, 2013
by
thanvigandhi_1
0
answers
Evaluate : $ \int_0^3 (x^2+2x)dx $ as limit of a sum.
cbse
class12
modelpaper
2012
sec-c
q26
math
asked
Jan 16, 2013
by
thanvigandhi_1
0
answers
The area of the region bounded by the curve $y=\sqrt {16-x^2}$ and x-axis is \begin{array}{1 1}(A)\;8\pi \;sq.units & (B)\;20\pi\; sq.units\\(C)\;16\pi\; sq.units & (D)\;256\pi\; sq.units \end{array}
cbse
class12
ch8
q26
p177
objective
exemplar
sec-b
easy
math
asked
Jan 16, 2013
by
sreemathi.v
1
answer
Find the area enclosed by the parabolas \( y^2=9x \: and \: x^2=9y\)
cbse
class12
modelpaper
2012
sec-c
q26
math
asked
Jan 15, 2013
by
thanvigandhi_1
0
answers
Evaluate the following $\displaystyle\int\frac{dx}{x\sqrt{x^4-1}}\;(Hint:Put\;x^2=\sec\theta)$
cbse
class12
ch7
q26
p165
short-answer
exemplar
sec-a
medium
math
asked
Jan 14, 2013
by
sreemathi.v
1
answer
Using integration find the area of the following region $ \{ (x, y):|x-1| \geq y \geq \sqrt{5-x^2} \} .$
cbse
class12
modelpaper
2012
sec-c
q26
math
asked
Jan 13, 2013
by
thanvigandhi_1
0
answers
Find the points of local maxima,local minima and the points of inflection of the function $f(x)=x^5-5x^4+5x^3-1$. Also find the corresponding local maximum and local minimum values.
cbse
class12
ch6
q26
p137
exemplar
medium
sec-b
math
asked
Jan 11, 2013
by
sreemathi.v
1
answer
Find the region included between the parabola \( y^2=x \) & the line \( x+y=2.\)
cbse
class12
modelpaper
2012
sec-c
q26
math
asked
Jan 11, 2013
by
thanvigandhi_1
0
answers
Form the differential equation of the family of circles in the first quadrant which touch the coordinates axes.
cbse
class12
modelpaper
2012
sec-c
q26
math
asked
Jan 10, 2013
by
thanvigandhi_1
0
answers
Prove that : $\int_0^{\large\frac{\pi}{2}} ( \sqrt {cosx}+ \sqrt{cotx})dx = \sqrt 2 \pi. $
cbse
class12
modelpaper
2012
sec-c
q26
math
asked
Jan 9, 2013
by
thanvigandhi_1
0
answers
For the following probability distribution determine standard deviation of the random variable X.
cbse
class12
ch13
q26
p274
short-answer
exemplar
sec-a
easy
math
asked
Jan 9, 2013
by
sreemathi.v
1
answer
Evaluate : $ \int_0^{\pi} \large\frac{dx}{5+4cos\: x}. $
cbse
class12
modelpaper
2012
sec-c
q26
math
asked
Jan 9, 2013
by
thanvigandhi_1
0
answers
The corner points of the feasible region determined by the system of linear constraints are $(0,0),(0,40),(20,40),(60,20),(60,0)$.The objective function is $Z=4x+3y.$ Compare the quantity in column A and column B: <br>$\begin{array}{1 1}column\; A & column\; B\\maximum\;of \;z &325\end{array}$
cbse
class12
ch12
q26
p254
objective
exemplar
sec-a
easy
math
asked
Jan 8, 2013
by
sreemathi.v
1
answer
Prove that \( \int_0^a f(x)dx = \int_0^a f(a-x)dx. \) Using it, evaluate $ \int_0^2 x\sqrt {2-x} dx.$
cbse
class12
modelpaper
2012
sec-c
q26
math
asked
Jan 7, 2013
by
thanvigandhi_1
0
answers
Evaluate : $ \int_0^{\Large\frac{\pi}{2}} \large\frac{x}{\sin x + \cos x}$$dx.$
cbse
class12
modelpaper
2012
sec-c
q26
math
asked
Jan 4, 2013
by
thanvigandhi_1
0
answers
$\overrightarrow{AB}=3 \hat i-\hat j+\hat k \;and\; \overrightarrow{CD}=-3\hat i+2 \hat j+4\hat k$ are two vectors. The position vectors of the points $A$ and $C$ are $6\hat i+7\hat j+4\hat k\;and\;-9\hat j+2\hat k,$ respectively.Find the position vector of a point $P$ on the line $AB$ and a point $Q$ on the line $CD$ such that $\overrightarrow{PQ}$ is perpendicular to $\overrightarrow{AB}\;and\;\overrightarrow{CD}$ both.
cbse
class12
ch11
q26
p237
exemplar
difficult
sec-c
math
asked
Jan 4, 2013
by
sreemathi.v
1
answer
Using integration, find the area of region enclosed between the circles \( x^2+y^2=4 \: and \: (x-2)^2+y^2=4.\)
cbse
class12
modelpaper
2012
sec-c
q26
math
asked
Jan 3, 2013
by
thanvigandhi_1
0
answers
Using integration, find the area lying above x - axis included, between the circle \( x^2+y^2 = 8x\) and the parabola \(y^2 = 4x\)
cbse
class12
modelpaper
2012
sec-c
q26
math
asked
Jan 2, 2013
by
thanvigandhi_1
0
answers
Prove that \( x^2-y^2 = c ( x^2-y^2 )^2 \) is the general solution of differential equation \(( x^3-3xy^2) dx = (y^3-3x^2y) dx\).
cbse
class12
modelpaper
2012
sec-c
q26
math
asked
Jan 2, 2013
by
thanvigandhi_1
0
answers
Differentiate the following w.r.t $x$ :$\large \frac{8^x}{x^8}$
cbse
class12
ch5
q26
p109
short-answer
exemplar
sec-a
medium
math
sec4
asked
Dec 31, 2012
by
sreemathi.v
1
answer
Find \[ \int \mathrm \: \frac{x^2+1}{x^2-5x+6} dx \]
cbse
class12
modelpaper
2012
sec-b
q26
math
asked
Dec 29, 2012
by
thanvigandhi_1
0
answers
Evaluate : \( \int_0^1 \: \sin^{-1} (x \sqrt{1-x} - \sqrt x \sqrt {1-x^2} ) dx, 0 \leq \: x \leq \: 1. \)
cbse
class12
modelpaper
2012
sec-c
q26
math
asked
Dec 29, 2012
by
thanvigandhi_1
0
answers
Show that the general solution of the differential equation \(\large \frac{dy}{dx}+\frac{y^2+y+1}{x^2+x+1}\normalsize=0\) is given by \( x+y+1 = A(1-x-y-2xy)\), where A is parameter.
cbse
class12
modelpaper
2012
sec-c
q26
math
asked
Dec 29, 2012
by
thanvigandhi_1
0
answers
The area of a triangle with vertices(-3,0),(3,0) and (0,k) is 9 sq. units.The value of k will be\[ \begin{array}{1 1}(A)\quad 9 & (B)\quad 3\\(C)\quad-9 & (D)\quad 6\end{array}\]
cbse
class12
ch4
sec-a
q26
p80
objective
exemplar
easy
math
asked
Dec 26, 2012
by
sreemathi.v
1
answer
Using integration, find the area of the region $ \{ (x,y) : | x - 1 | \leq y \leq \sqrt {5-x^2} \} $
cbse
class12
modelpaper
2011
sec-c
q26
math
asked
Dec 26, 2012
by
thanvigandhi_1
0
answers
Evaluate : \( \int_1^2 \: (x^2 + x + 2 )dx\) as a limit of sums
cbse
class12
modelpaper
2012
sec-c
q26
math
asked
Dec 25, 2012
by
thanvigandhi_1
0
answers
Find the area of the smaller region bounded by ellipse $ \large\frac{x^2}{a^2} + \frac{y^2}{b^2} $$= 1$ and the line $\large\frac{x}{a} + \frac{y}{b}$$ = 1 $
cbse
class12
modelpaper
2008
sec-c
q26
math
asked
Dec 24, 2012
by
thanvigandhi_1
0
answers
Find \[ \int \mathrm \: ( sin^{-1} x)^2\: dx \]
cbse
class12
modelpaper
2012
sec-b
q26
math
asked
Dec 22, 2012
by
thanvigandhi_1
0
answers
If $A=\begin{bmatrix}1 & 0 & -1\\2 & 1 & 3\\0 & 1 & 1\end{bmatrix},then\;verify\;that\;A^2+A=A(A+I),where\;I\;is\;3\times 3\;unit\;matrix.$
cbse
class12
ch3
q26
p56
short-answer
exemplar
medium
sec-b
math
asked
Dec 22, 2012
by
sreemathi.v
1
answer
If $\cos\bigg(\sin^{-1}\frac{2}{5}+\cos^{-1}x\bigg)=0$,then x is equal to
cbse
class12
ch2
q26
p38
objective
exemplar
medium
sec-a
math
asked
Dec 20, 2012
by
sreemathi.v
1
answer
Using matrices, solve the following system of equations : $ \begin{array} xx + y + z = 6 \\ x + 2z = 7 \\ 3x + y + z = 12 \end{array} $
cbse
class12
modelpaper
2009
sec-c
q26
math
asked
Dec 20, 2012
by
thanvigandhi_1
0
answers
Evaluate : $ \int_{-a}^a \: \sqrt {\large\frac{a-x}{a+x}} dx $
cbse
class12
modelpaper
2008-1
sec-c
q26
math
asked
Dec 19, 2012
by
thanvigandhi_1
0
answers
Let $\ast $ be the binary operation defined on Q.Find which of the following binary operations are commutative\begin{array}{1 1}(i)\;a \ast b=a-b\quad a,b\in Q & (ii)\;a \ast b=a^2+b^2\quad a,b\in Q\\(iii)\;a \ast b=a+ab\quad a,b\in Q & (iv)\;a \ast b=(a-b)^2\quad a,b\in Q\end{array}
cbse
class12
ch1
q26
p13
exemplar
math
sec-a
asked
Dec 19, 2012
by
sreemathi.v
1
answer
Sketch the graph of y=| x+3 | and evaluate$\Large \int\limits_{-6}^0\normalsize| x+3 |dx$
cbse
class12
bookproblem
ch8
misc
q4
p375
modelpaper
2012
q26
math
sec-c
asked
Dec 17, 2012
by
sreemathi.v
1
answer
Integrate the function$\frac{\cos\sqrt x}{\sqrt x}$
cbse
class12
bookproblem
ch7
sec2
q26
p305
sec-a
medium
math
asked
Dec 5, 2012
by
sreemathi.v
1
answer
Find the area of the region ${(x, y) : y^2\: \leq \: 4x, 4x^2 + 4y^2\: \leq\: 9}$
cbse
class12
bookproblem
ch8
misc
q15
p376
sec-c
difficult
modelpaper
2012
q26
math
asked
Dec 4, 2012
by
thanvigandhi_1
1
answer
Evaluate the definite integrals\[\int\limits_0^\frac{\pi}{4}\frac{\sin x\cos x}{\cos^4x+\sin^4x}dx\]
cbse
class12
bookproblem
ch7
misc
q26
p353
sec-b
medium
math
asked
Dec 3, 2012
by
sreemathi.v
1
answer
Assume that the chances of a patient having a heart attack is 40%. It is also assumed that a meditation and yoga course reduce the risk of heart attack by 30% and prescription of certain drug reduces its chances by 25%. At a time a patient can choose any one of the two options with equal probabilities. It is given that after going through one of the two options the patient selected at random suffers a heart attack. Find the probability that the patient followed a course of meditation and yoga?
cbse
class12
bookproblem
ch13
misc
p584
q13
sec-c
medium
modelpaper
2012
q26
math
asked
Nov 27, 2012
by
balaji.thirumalai
1
answer
Show that semi-vertical angle of right circular cone of given surface area and maximum volume is \( \sin^{-1} \left(\frac{1}{3}\right)\)
cbse
class12
bookproblem
ch6
sec5
q26
p233
sec-c
medium
math
asked
Nov 27, 2012
by
thanvigandhi_1
1
answer
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