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Recent questions tagged q18
Questions
Find the general solution of $y^2dx+(x^2-xy+y^2)dy=0$
cbse
class12
ch9
sec-b
q18
p194
short-answer
exemplar
difficult
math
asked
Jan 18, 2013
by
sreemathi.v
1
answer
If $\overrightarrow{a}=\hat i+\hat j+\hat k$ and $\overrightarrow{b}=\hat j-\hat k$,find a vector $\overrightarrow{c}$ such that $\overrightarrow{a}\times\overrightarrow{c}=\overrightarrow{b}$ and $\overrightarrow{a}.\overrightarrow{c}=3$.
cbse
class12
ch10
q18
p216
exemplar
medium
sec-b
math
asked
Jan 17, 2013
by
sreemathi.v
1
answer
Solve the differential equation $ 2xy+y^2-2x^2\large\frac{dy}{dx}$$=0 : y(1)=2.$
cbse
class12
modelpaper
2012
sec-b
q18
math
asked
Jan 17, 2013
by
thanvigandhi_1
0
answers
Solve the differential equation $ (x^2-1)\large\frac{dy}{dx}$$+2(x+2) y = 2(x+1). $
cbse
class12
modelpaper
2012
sec-b
q18
math
asked
Jan 16, 2013
by
thanvigandhi_1
0
answers
Find the area of region bounded by the triangle whose vertices are $(-1,1),(0,5)$ and $(3,2)$ using integration.
cbse
class12
ch8
q18
p177
exemplar
sec-c
difficult
math
asked
Jan 16, 2013
by
sreemathi.v
1
answer
Solve the following differential equation : $ \cos^2\: x\large\frac{dy}{dx}$$+y=\tan x$
cbse
class12
modelpaper
2012
sec-b
q18
math
asked
Jan 15, 2013
by
thanvigandhi_1
1
answer
Show that the differential equation : $ x\: cos \bigg(\large \frac{y}{x} \bigg)\large \frac{dy}{dx}=$$y\cos \bigg(\large \frac{y}{x} \bigg)$$ + x $ is homogeneous and solve it.
cbse
class12
modelpaper
2012
sec-b
q18
math
asked
Jan 15, 2013
by
thanvigandhi_1
0
answers
Evaluate the following $\int\frac{x}{x^4-1}dx$
cbse
class12
ch7
q18
p164
exemplar
sec-a
easy
math
asked
Jan 14, 2013
by
sreemathi.v
1
answer
Evaluate : $ \int \tan^{-1} \sqrt{ \large\frac{1-sinx}{1+sinx}}dx. $
cbse
class12
modelpaper
2012
sec-b
q18
math
asked
Jan 11, 2013
by
thanvigandhi_1
1
answer
At what points on the curve $x^2+y^2-2x+4y+1=0$,the tangents are parallel to the y-axis?
cbse
class12
ch6
q18
p136
short-answer
exemplar
easy
sec-b
math
asked
Jan 11, 2013
by
sreemathi.v
1
answer
Evaluate : $\int\large \frac{e^x}{\sqrt {5-4e^x-e^{2x}}}$$dx.$
cbse
class12
modelpaper
2012
sec-b
q18
math
asked
Jan 10, 2013
by
thanvigandhi_1
0
answers
Verify that \( y = e^x.\cos\: x\) is a solution of the differential equation : $\large \frac{d^2y}{dx^2}$$-2\large\frac{dy}{dx}$$+2y=0. $
cbse
class12
modelpaper
2012
sec-b
q18
math
asked
Jan 10, 2013
by
thanvigandhi_1
0
answers
Solve the following differential equation: $(x^2+3xy+y^2)dx-x^2\: dy = 0. $
cbse
class12
modelpaper
2012
sec-b
q18
math
asked
Jan 9, 2013
by
thanvigandhi_1
0
answers
Verify that \( y=A\cos x - B\sin x\), is a solution of the differential equation \( \frac{\large d^2y}{\large dx^2}+y=0.\)
cbse
class12
modelpaper
2012
sec-b
q18
math
asked
Jan 9, 2013
by
thanvigandhi_1
0
answers
Solve the following differential equation : $(y^2-x^2)dy = 3xy\: dx.$
cbse
class12
modelpaper
2012
sec-b
q18
math
asked
Jan 9, 2013
by
thanvigandhi_1
0
answers
A box has 5 blue and red balls.One ball is drawn at random and not replaced.Its colour is also not noted .The another ball is drawn at random.what is the probability of second ball being blue?
cbse
class12
ch13
q18
p273
short-answer
exemplar
sec-a
easy
math
asked
Jan 9, 2013
by
sreemathi.v
1
answer
A company manufactures two types of screws A and B.All the screws have to pass through a threading machine and a slotting machine.A box of type A screws requires 2 minutes on the threading machine and 3minutes on the slotting machine.A box of type B screws requires 8 minutes of threading on the threading machine and 2 minutes on the slotting machine.In a week,each machine is available for 60 hours.On selling these screws,the company gets a profit of Rs100 per box on type A screws and Rs170 per box on type B screws.Solve the linear programming problem and determine the maximum profit to the manufacturer.
cbse
class12
ch12
q18
p253
exemplar
sec-c
difficult
math
asked
Jan 7, 2013
by
sreemathi.v
1
answer
Solve the following differential equation: $ (x^2-y^2)dx+2xy.dy = 0\: given \: that\: y=1\: when \: x = 1.$
cbse
class12
modelpaper
2012
sec-b
q18
math
asked
Jan 7, 2013
by
thanvigandhi_1
0
answers
Solve the differential equation : $ \large\frac{dy}{dx} $$+y=\cos x - \sin x.$
cbse
class12
modelpaper
2012
sec-b
q18
math
asked
Jan 7, 2013
by
thanvigandhi_1
0
answers
(i) Form the differential equation of the family of curves \( y = a\: sin (x+b)\), where a and b are arbitary constants. \[ \] (ii) Solve the following differential equation : \[ 2xy\: dx + (x^2+2y^2)dy = 0.\]
cbse
class12
modelpaper
2012
sec-b
q18
math
asked
Jan 4, 2013
by
thanvigandhi_1
0
answers
Evaluate : $ \int \large\frac{1}{b^2sin^2x+a^2cos^2x}$$dx $
cbse
class12
modelpaper
2012
sec-b
q18
math
asked
Jan 4, 2013
by
thanvigandhi_1
0
answers
Find the length and the foot of perpendicular from the point$\bigg(1,\large\frac{3}{2}$$,2\bigg)$ to the plane 2x-2y+4z+5=0
cbse
class12
ch11
q18
p236
exemplar
medium
sec-c
math
asked
Jan 3, 2013
by
sreemathi.v
1
answer
Evaluate $\int\: tan^{-1} \sqrt {\large\frac{1-sinx}{1+sinx}}$$dx.$
cbse
class12
modelpaper
2012
sec-b
q18
math
asked
Jan 3, 2013
by
thanvigandhi_1
0
answers
Evaluate : $ \int \: \large\frac{1}{\cos(x+a)\cos(x+b)}$$dx $
cbse
class12
modelpaper
2012
sec-b
q18
math
asked
Jan 2, 2013
by
thanvigandhi_1
0
answers
Find all points of discontinuity of the function $f(t)=\large\frac{1}{t^2+t-2},$where $\;t=\large\frac{1}{x-1}.$
cbse
class12
ch5
q18
p109
short-answer
exemplar
sec-b
medium
math
asked
Dec 31, 2012
by
sreemathi.v
1
answer
Integrate : $\int \:\large \frac{x}{(x-1)^2(x+2)} $
cbse
class12
modelpaper
2012
sec-b
q18
math
asked
Dec 31, 2012
by
thanvigandhi_1
0
answers
Integrate : $ \int \: \large\frac{3x+5}{x^2-x^2-x-1} $
cbse
class12
modelpaper
2012
sec-b
q18
math
asked
Dec 31, 2012
by
thanvigandhi_1
0
answers
Solve the following differential equation : $ \large\frac{dy}{dx} = \large\frac{x(2y-x)}{x(2y+x)} $ if \( y = 1 \) when \( x = 1 \)
cbse
class12
modelpaper
2008-1
sec-b
q18
math
asked
Dec 29, 2012
by
thanvigandhi_1
0
answers
Solve the following differential equation : $ ye^{\large\frac{x}{y}}$$dx = (xe^{\large\frac{x}{y}} $$+ y ) dy $
cbse
class12
modelpaper
2011
sec-b
q18
math
asked
Dec 28, 2012
by
thanvigandhi_1
0
answers
If $A=\begin{bmatrix}1 & 2 & 0\\-2 & -1 & -2\\0 & -1 & 1\end{bmatrix},find\;A^{-1}.$\[Using\;A^{-1}, solve\; the\; system\; of\; linear\; equations\; x-2y=10,2x-y-z=8,-2y+Z=7.\]
cbse
class12
ch4
sec-c
q18
p79
exemplar
medium
math
asked
Dec 26, 2012
by
sreemathi.v
1
answer
Form the differeential equation of the family of circles having radii 3.
cbse
class12
modelpaper
2012
sec-b
q18
math
asked
Dec 25, 2012
by
thanvigandhi_1
0
answers
Find the particular solution of the differential equation $\large \frac{dy}{dx} - \frac{y}{x} $$+ cosec \bigg( \large\frac{y}{x} \bigg) = 0 $
cbse
class12
modelpaper
2012
sec-b
q18
math
asked
Dec 24, 2012
by
thanvigandhi_1
0
answers
The angle between the planes \( \overrightarrow r .(3\hat i − 4\hat j +5\hat k) = 0 \: and\: \overrightarrow r .(2\hat i − \hat j − 2\hat k) \)is \[ \begin{array} (A)\: \frac{\pi}{3} \quad & (B) \: \frac{\pi}{2} \\ (C)\: \frac{\pi}{6} \quad & (D) \frac{\pi}{4} \end{array} \]
cbse
class12
modelpaper
2012
sec-a
q18
math
asked
Dec 23, 2012
by
thanvigandhi_1
0
answers
Solve for x and y:\[x\begin{bmatrix}2\\1\end{bmatrix}+y\begin{bmatrix}3\\5\end{bmatrix}+\begin{bmatrix}-8\\-11\end{bmatrix}=0\]
cbse
class12
ch3
q18
p54
short-answer
exemplar
easy
sec-b
math
asked
Dec 22, 2012
by
sreemathi.v
1
answer
Solve the following differential equation : \[ x \frac{dy}{dx} = y - x \: tan \bigg(\frac{y}{x} \bigg) \]
cbse
class12
modelpaper
2009
sec-b
q18
math
asked
Dec 20, 2012
by
thanvigandhi_1
0
answers
What is the value of $\tan({\frac{1}{2}}\sin^{-1}{\frac{3}{4}})$?
cbse
class12
ch2
q18
p37
exemplar
medium
sec-b
math
asked
Dec 20, 2012
by
sreemathi.v
1
answer
Solve the following differential equation : $ (x^2-y^2) dx +2 \: xy \: dy = 0 $ given that \( y = 1 \) when \( x = 1 \)
cbse
class12
modelpaper
2008-1
sec-b
q18
math
asked
Dec 20, 2012
by
thanvigandhi_1
0
answers
Given A={2,3,4},B={2,5,6,7}.Construct an example of each of the following:\begin{array}{1 1}(a)\quad an\;injective\;mapping\;from\;A\;to\;B\\(b)\quad a\; mapping\;from\;A\;to\;B\;which\;is\;not\;injective\\(c)\quad a\;mapping\;from\;B\;to\;A \end{array}
cbse
class12
ch1
q18
p12
exemplar
sec-b
math
asked
Dec 18, 2012
by
sreemathi.v
1
answer
Find the values of the expression $ \tan \bigg( \sin^{-1} \frac{3}{5} + \cot^{-1} \frac{3}{2} \bigg) $
cbse
class12
bookproblem
ch2
sec2
q18
p48
medium
sec-b
math
asked
Dec 10, 2012
by
thanvigandhi_1
1
answer
Find the integral $\int\sec x(\sec x+\tan x)dx$
cbse
class12
bookproblem
ch7
sec1
q18
p299
sec-a
easy
math
asked
Dec 6, 2012
by
sreemathi.v
1
answer
If $\overrightarrow a$ is a nonzero vector of magnitude $" a "$ and $λ$ a nonzero scalar, then $λ \overrightarrow a$ is unit vector if
cbse
class12
bookproblem
ch10
sec3
q18
p448
easy
sec-a
math
asked
Dec 6, 2012
by
thanvigandhi_1
1
answer
Integrate the function $\Large \frac{\large e^{\tan^{-1}x}}{\large 1+x^2}$
cbse
class12
bookproblem
ch7
sec2
q18
p305
sec-a
easy
modelpaper
q1
math
asked
Dec 6, 2012
by
sreemathi.v
1
answer
Find the integrals of the functions $\frac{\cos2x+2\sin^2x}{\cos^2x}$
cbse
class12
bookproblem
ch7
sec3
q18
p307
sec-a
easy
math
asked
Dec 5, 2012
by
sreemathi.v
1
answer
Integrate the functions\[\frac{5x-2}{1+2x+3x^2}\]
cbse
class12
bookproblem
ch7
sec4
q18
p316
sec-b
medium
math
asked
Dec 5, 2012
by
sreemathi.v
1
answer
Choose the correct answer if the value of $ \hat i.( \hat j\times \hat k)+ \hat j . (\hat i \times \hat k) +\hat k. (\hat i \times \hat j)$ is
cbse
class12
bookproblem
ch10
misc
q18
p459
easy
sec-a
math
asked
Dec 5, 2012
by
thanvigandhi_1
1
answer
Integrate the rational functions $\frac{(x^2+1)(x^2+2)}{(x^2+3)(x^2+4)}$
cbse
class12
bookproblem
ch7
sec5
q18
p323
sec-b
difficult
math
asked
Dec 4, 2012
by
sreemathi.v
1
answer
If \(f (x) = |\; x\; |^3\), show that \(f ″(x)\) exists for all real \(x\) and find it.
cbse
class12
bookproblem
ch5
misc
q18
p192
sec-a
easy
math
asked
Dec 4, 2012
by
thanvigandhi_1
1
answer
Integrate the function $e^x\bigg(\frac{1+\sin x}{1+\cos x}\bigg)$
cbse
class12
bookproblem
ch7
sec6
q18
p328
sec-b
medium
math
asked
Dec 4, 2012
by
sreemathi.v
1
answer
Choose the correct answer in the the area of the circle \(x^2 + y^2 = 16\) exterior to the parabola \(y^2 = 6x\) is \[\begin{array} (A) \frac{4}{3} (4\pi - \sqrt 3) \quad &(B) \frac{4}{3} (4\pi + \sqrt 3) \quad & (C) \frac{4}{3} (8\pi - \sqrt 3) \quad & (D) \frac{4}{3} (8\pi + \sqrt 3) \end{array}\]
cbse
class12
bookproblem
ch8
misc
q18
p376
sec-b
medium
math
asked
Dec 4, 2012
by
thanvigandhi_1
1
answer
Evaluate the definite integral $\int\limits_0^\pi(\sin^2\frac{x}{2}-\cos^2\frac{x}{2})dx$
cbse
class12
bookproblem
ch7
sec9
q18
p338
sec-a
easy
math
asked
Dec 4, 2012
by
sreemathi.v
1
answer
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