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Recent questions tagged q19
Questions
Solve the differential equation : $\large \frac{dy}{dx}-\frac{y}{x}=\bigg( \frac{x-1}{x} \bigg)$$ e^x. $
cbse
class12
modelpaper
2012
sec-b
q19
math
asked
Jan 9, 2013
by
thanvigandhi_1
0
answers
Four cards are successively drawn with out replacement from a deck of 52 playing cards.What is the probability that all the four cards are kings?
cbse
class12
ch13
q19
p273
short-answer
exemplar
sec-a
easy
math
asked
Jan 9, 2013
by
sreemathi.v
1
answer
A company manufactures two types of sweaters :type A sweaters type B.It costs Rs 360 to make a type A sweater and Rs 120 to make a type B sweater.The company can make at most 300 sweaters and spend at most Rs72,000 a day.The number of sweaters of type B cannot exceed the number of sweaters of type A by more than 100.The company makes a profit of Rs 200 for each sweater of type A and Rs 120 for every sweater of type B.What is the maximum profit (in Rs.)?
cbse
class12
ch12
q19
p253
exemplar
sec-c
difficult
math
asked
Jan 7, 2013
by
sreemathi.v
1
answer
Solve the differential equation : $ \large\frac{dy}{dx} $$= \log (x+1).$
cbse
class12
modelpaper
2012
sec-b
q19
math
asked
Jan 7, 2013
by
thanvigandhi_1
0
answers
Solve the following differential equation : $\large \frac{dy}{dx}$$ + 2\tan x.y = \sin x.$
cbse
class12
modelpaper
2012
sec-b
q19
math
asked
Jan 4, 2013
by
thanvigandhi_1
0
answers
Solve the following differential equation : $ x^2 \large\frac{dy}{dx} $$= y^2+ 2xy $
cbse
class12
modelpaper
2012
sec-b
q19
math
asked
Jan 4, 2013
by
thanvigandhi_1
0
answers
Solve the following differential equation : $ (x^2+1)\large \frac{dy}{dx}$$+2xy = \sqrt {x^2+4} $
cbse
class12
modelpaper
2012
sec-b
q19
math
asked
Jan 4, 2013
by
thanvigandhi_1
0
answers
Find the equations of the line passing through the point $(3,0,1)$ and parallel to the planes $x+2y=0$ and $3y-z=0.$
cbse
class12
ch11
q19
p236
exemplar
easy
sec-c
math
asked
Jan 3, 2013
by
sreemathi.v
1
answer
Solve the following differential equation : \( \frac{dy}{dx} = \frac{x(2y-x)}{x(2y+x)}, \) if y = 1 when x = 1.
cbse
class12
modelpaper
2012
sec-b
q19
math
asked
Jan 3, 2013
by
thanvigandhi_1
0
answers
Find the particular solution, satisfying the given condition for the differential equation $ \large\frac{dy}{dx} - \frac{y}{x} +$$ cosec \bigg(\large \frac{y}{x} \bigg)$$ = 0, y = 0\: when \: x = 1$
cbse
class12
modelpaper
2012
sec-b
q19
math
asked
Jan 3, 2013
by
thanvigandhi_1
0
answers
Evaluate : $ \int \:\large \frac{e^x}{(1+e^x)(2+e^x)}$$dx. $
cbse
class12
modelpaper
2012
sec-b
q19
math
asked
Jan 2, 2013
by
thanvigandhi_1
0
answers
Show that the function $f(x)=\mid \sin x+\cos x\mid$ is continuous at $x=\pi$.
cbse
class12
ch5
q19
p109
short-answer
exemplar
sec-b
medium
math
asked
Dec 31, 2012
by
sreemathi.v
1
answer
Integrate : $\int \: x(\ log x )^2dx.$
cbse
class12
modelpaper
2012
sec-b
q19
math
asked
Dec 31, 2012
by
thanvigandhi_1
0
answers
Solve the following differential equation : \( ( 1 + y + x^2y ) dx + ( x + x^3 ) dy = 0, \: where \: y = 0 \: when \: x = 1 \)
cbse
class12
modelpaper
2011
sec-b
q19
math
asked
Dec 28, 2012
by
thanvigandhi_1
0
answers
Using matrix method ,solve the system of equations 3x+2y-2z=3,x+2y+3z=6,2x-y+z=2.
cbse
class12
ch4
sec-c
q19
p79
exemplar
medium
math
asked
Dec 26, 2012
by
sreemathi.v
1
answer
Solve the following differential equation : $ \sqrt { 1+x^2+y^2+x^2y^2} + xy \large\frac{dy}{dx} $$= 0 $
cbse
class12
modelpaper
2012
sec-b
q19
math
asked
Dec 25, 2012
by
thanvigandhi_1
0
answers
Find the equation of a curve passing through the origin given that the slope of the tangent to the curve at any point ( x, y ) is equal to the sum of the coordinates of the point
cbse
class12
modelpaper
2012
sec-b
q19
math
asked
Dec 24, 2012
by
thanvigandhi_1
1
answer
The probability of obtaining an even prime numbr on each die, when a pair of dice is rolled is \[ \begin{array} (A)\: 0 \quad & (B) \: \frac{1}{3} \\ (C)\: \frac{1}{12} \quad & (D) \: \frac{1}{36} \end{array} \]
cbse
class12
modelpaper
2012
sec-a
q19
math
asked
Dec 23, 2012
by
thanvigandhi_1
0
answers
If X and Y are $2\times 2$matrices,then solve the following matrix equation for X and Y\[2X+3Y=\begin{bmatrix}2 & 3\\4 & 0\end{bmatrix},3X+2Y=\begin{bmatrix}-2 & 2\\1 & -5\end{bmatrix}.\]
cbse
class12
ch3
q19
p55
short-answer
exemplar
sec-b
easy
math
asked
Dec 22, 2012
by
sreemathi.v
1
answer
Solve the following differential equation : $ \cos^2 x \large\frac{dy}{dx} $$+ y = \tan x $
cbse
class12
modelpaper
2009
sec-b
q19
math
asked
Dec 20, 2012
by
thanvigandhi_1
0
answers
If $a_1,a_2,a_3,......a_n$ is an arithmetic progression with common difference d,then evaluate the following expression $\tan \bigg( \tan^{-1}\bigg(\frac{d}{1+a_1a_2}\bigg)+\tan^{-1}\bigg(\frac{d}{1+a_2a_3}\bigg)+\tan^{-1}\bigg(\frac{d}{1+a_3a_4}\bigg)+........+\tan^{-1}\bigg(\frac{d}{1+a_{n-1}a_n}\bigg) \bigg) $
cbse
class12
ch2
q19
p37
exemplar
difficult
sec-c
math
asked
Dec 20, 2012
by
sreemathi.v
1
answer
solve the following differential equation : $ cos^2x\:\large \frac{dy}{dx} $$+ y = tan \: x $
cbse
class12
modelpaper
2008-1
sec-b
q19
math
asked
Dec 20, 2012
by
thanvigandhi_1
0
answers
Find the value of the expression $\cos^{-1} \bigg(\cos \frac{\large 7\pi}{\large 6} \bigg) $
cbse
class12
bookproblem
ch2
sec2
q19
p48
easy
sec-a
math
asked
Dec 10, 2012
by
thanvigandhi_1
1
answer
If $\overrightarrow a$ and $ \overrightarrow b$ are two collinear vectors, then which of the following are incorrect:
cbse
class12
bookproblem
ch10
sec2
q19
p441
sec-a
easy
math
asked
Dec 6, 2012
by
thanvigandhi_1
1
answer
Find the integral $\large \int \frac{\sec^2x}{\large cosec^2x}$$dx$
cbse
class12
bookproblem
ch7
sec1
q19
p299
sec-a
medium
modelpaper
2012
q10
math
asked
Dec 6, 2012
by
sreemathi.v
1
answer
Integrate the function $\frac{\large e^{2x}-1}{\large e^{2x}+1}$
cbse
class12
bookproblem
ch7
sec2
q19
p305
sec-a
easy
math
asked
Dec 6, 2012
by
sreemathi.v
1
answer
Find the integrals of the function $\frac{1}{\sin x\cos^3x}$
cbse
class12
bookproblem
ch7
sec3
q19
p307
medium
sec-b
math
asked
Dec 5, 2012
by
sreemathi.v
1
answer
Integrate the functions\[\frac{6x+7}{\sqrt{(x-5)(x-4)}}\]
cbse
class12
bookproblem
ch7
sec4
q19
p316
sec-b
medium
math
asked
Dec 5, 2012
by
sreemathi.v
1
answer
Choose the correct answer if θ is the angle between any two vectors $\overrightarrow a$ and $\overrightarrow b$, then $| \overrightarrow a ⋅\overrightarrow b | \: = \: | \overrightarrow a \times\overrightarrow b |$ when θ is equal to
cbse
class12
bookproblem
ch10
misc
q19
p459
easy
sec-a
math
asked
Dec 5, 2012
by
thanvigandhi_1
1
answer
Integrate the rational functions\[\frac{2x}{(x^2+1)(x^2+3)}\]
cbse
class12
bookproblem
ch7
sec5
q19
p323
sec-c
difficult
math
asked
Dec 4, 2012
by
sreemathi.v
1
answer
Using mathematical induction prove that \( \large\frac{d}{dx}\normalsize (x^{\large n}) = nx^{\large{n-1}} \) for all positive integers \(n\).
cbse
class12
bookproblem
ch5
misc
q19
p192
sec-b
difficult
math
asked
Dec 4, 2012
by
thanvigandhi_1
1
answer
Integrate the function $e^x \large($$ \large \frac{1}{x}$$-\large\frac{1}{x^2})$
cbse
class12
bookproblem
ch7
sec6
q19
p328
sec-a
easy
math
asked
Dec 4, 2012
by
sreemathi.v
1
answer
Choose the correct answer in the the area bounded by the \(y\) - axis, \(y = \cos\: x\) and \(y = \sin\: x\) when \(0 \leq x \leq \frac{\large \pi}{2}\) is
cbse
class12
bookproblem
ch8
misc
q19
p376
sec-c
difficult
math
asked
Dec 4, 2012
by
thanvigandhi_1
1
answer
Evaluate the definite integral $\displaystyle\int\limits_0^2\frac{6x+3}{x^2+4}dx$
cbse
class12
bookproblem
ch7
sec9
q19
p338
sec-b
medium
math
asked
Dec 4, 2012
by
sreemathi.v
1
answer
Show that $\int\limits_0^af(x)g(x)dx=2\int\limits_0^af(x)dx,$ if \(f\) and \(g\) are defined as \(f(x) = f(a - x)\) and \(g(x) + g(a - x)=4\)
cbse
class12
bookproblem
ch7
sec11
q19
p347
sec-a
easy
math
asked
Dec 3, 2012
by
sreemathi.v
1
answer
Integrate the function $\int\large\frac{\sin^{-1}\sqrt x-\cos^{-1}\sqrt x}{\sin^{-1}\sqrt x+\cos^{-1}\sqrt x},$$x\;\in\;[0,1]$
cbse
class12
bookproblem
ch7
misc
q19
p352
sec-b
difficult
math
asked
Dec 3, 2012
by
sreemathi.v
1
answer
The volume of spherical balloon being inflated changes at a constant rate.If initially its radius is 3units and after 3seconds it is 6units.Find the radius of balloon after t seconds.
cbse
class12
bookproblem
ch9
sec4
q19
p396
sec-c
math
asked
Nov 30, 2012
by
sreemathi.v
1
answer
Find the particular solution satisfying the given condition $2xy+y^2-2x^2\large\frac{dy}{dx}$$=0;\;y=\;2\;when\;x=\;1$
cbse
class12
bookproblem
ch9
sec5
q15
p406
medium
modelpaper
2012
q19
sec-b
math
asked
Nov 29, 2012
by
sreemathi.v
1
answer
The integrating factor of the differential equation $(1-y^2)\large\frac{dx}{dy}$$+yx=ay\: \;is$
cbse
class12
bookproblem
ch9
sec6
q19
p414
easy
math
sec-a
asked
Nov 29, 2012
by
sreemathi.v
1
answer
Let A = $\begin{bmatrix} 1 & sin\theta & 1 \\ -sin\theta & 1 & sin\theta \\ -1 & -sin\theta & 1 \end{bmatrix}$, where $0 \leq \theta \leq 2\pi$. Then: \[ \begin{array} ((A) \, Det(A) = 0 \quad& (B) \, Det(A) \in (2, \infty) \\[0.5em] (C) \, Det(A) \in (2, 4) \quad &(D) Det(A) \in [2,4] \end{array} \]
cbse
class12
bookproblem
ch4
misc
q19
p143
easy
sec-a
math
asked
Nov 29, 2012
by
balaji.thirumalai
1
answer
Find a particular solution of the differential equation $\frac{dy}{dx} + y\cot x=4x\:cosec\:x$, $(x\neq0)$, given that $y = 0$ when $x = \large\frac{\pi}{2}$
cbse
class12
bookproblem
ch9
misc
q13
p421
medium
modelpaper
q19
sec-a
math
asked
Nov 28, 2012
by
sreemathi.v
1
answer
Choose the correct answer in a cylindrical tank of radius 10 m is being filled with wheat at the rate of 314 cubic metre per hour. Then the depth of the wheat is increasing at the rate of
cbse
class12
bookproblem
ch6
misc
q19
p243
sec-a
medium
math
asked
Nov 28, 2012
by
thanvigandhi_1
1
answer
Number of binary operations on the set $\{a, b\}$ are
cbse
class12
bookproblem
ch1
misc
q19
p31
sec-a
math
asked
Nov 27, 2012
by
vaishali.a
1
answer
If A and B are any two events such that \(P(A) + P(B) - P(A \text{and} B) = P(A)\), then choose the correct answer:
cbse
class12
bookproblem
ch13
misc
p584
q19
sec-a
easy
math
asked
Nov 27, 2012
by
balaji.thirumalai
1
answer
Show that of all the rectangles inscribed in a given fixed circle, the square has the maximum area.
cbse
class12
bookproblem
ch6
sec5
q19
p233
sec-c
medium
math
asked
Nov 27, 2012
by
thanvigandhi_1
1
answer
A trust fund has Rs 30,000 that must be invested in two different types of bonds. The first bond pays 5% interest per year, and the second bond pays 7% interest per year. Using matrix multiplication, determine how to divide Rs 30,000 among the two types of bonds. If the trust fund must obtain an annual total interest of: $$ \text{(a) Rs 1800} \qquad \qquad \text{(b) Rs 2000} $$
cbse
class12
bookproblem
ch3
sec2
q19
p82
easy
long-answer
math
sec-b
asked
Nov 25, 2012
by
pady_1
1
answer
Find the points on the curve \(x^2 + y^2 - 2x - 3 = 0\) at which the tangents are parallel to the \(x\) - axis.
cbse
class12
bookproblem
ch6
sec3
q19
p212
sec-b
easy
math
asked
Nov 24, 2012
by
thanvigandhi_1
1
answer
The interval in which $y = x^2 e ^{- x}$ is increasing is
cbse
class12
bookproblem
ch6
sec2
q19
p206
sec-b
easy
math
asked
Nov 23, 2012
by
thanvigandhi_1
1
answer
Show that the function defined by $ g (x) = x – [x] $ is discontinuous at all integral points. Here $ [x] $ denotes the greatest integer less than or equal to $x$.
cbse
class12
bookproblem
ch5
sec1
q19
p160
sec-b
easy
math
asked
Nov 5, 2012
by
thanvigandhi_1
1
answer
Find the vector equation of the line passing through $(1, 2, 3)$ and parallel to the planes $\hat{r}. (\hat{i} - \hat{j} + 2\hat{k}) = 5$ and $\hat{r} (3\hat{i} + \hat{j} + \hat{k} ) = 6$
cbse
class12
bookproblem
ch11
misc
p499
q19
sec-c
difficult
math
asked
Nov 2, 2012
by
balaji.thirumalai
1
answer
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