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Recent questions tagged q18
Questions
A lift is moving downward with an acceleration equal to acceleration due to gravity. A body of mass M kept on the floor of the lift is pulled horizontally. If the coefficient of friction is $\mu$, then the frictional resistance offered by the body is
jeemain
physics
class11
unit3
laws-of-motion
q18
easy
asked
Jul 5, 2013
by
meena.p
1
answer
The quantity represented by $\large\frac{\text{mass} \times \text{pressure}}{\text{density}}$ is
jeemain
physics
class11
ch2
units-and-measurement
q18
easy
dimensional-formulae-and-analysis
asked
Jun 17, 2013
by
meena.p
1
answer
In triangle ABC (Fig 10.18),which of the following is not true :
cbse
class12
bookproblem
ch10
sec2
q18
p441
sec-a
easy
math
asked
May 20, 2013
by
sreemathi.v
1
answer
If $y=6x-x^{3}$ and $x$ increases at the rate of $5$ units per second, the rate of change of slope when $x=3 $ is
tnstate
class12
bookproblem
p231
objective
q18
sec-a
easy
asked
May 16, 2013
by
poojasapani_1
1
answer
If $ae^{x}+be^{y}=c; pe^{x}+qe^{y}=d $ and $\bigtriangleup_{1}=\begin{vmatrix} a&b \\p&q \end{vmatrix}; \bigtriangleup_{2}=\begin{vmatrix} c&b\\d&q \end{vmatrix}; \bigtriangleup_{3}=\begin{vmatrix} a&c\\p&d \end{vmatrix}$ than the value of $(x , y )$ is
tnstate
class12
bookproblem
p265
objective
q18
asked
May 7, 2013
by
poojasapani_1
0
answers
The probabilities of two students A and B coming to the school in time are $\frac{3}{7}$ and $\frac{5}{7}$ respectively.Assuming that the events,'A coming in time' and 'B coming in time' are independent ,find the probability of only one of them coming to the school in time.Write at least one advantage of coming to school in time.
cbse
class12
modelpaper
2013
sec-b
q22
65-1
q18
65-2
q16
65-3
ch13
math
asked
Mar 20, 2013
by
sreemathi.v
1
answer
Evaluate :$\int \large \frac{dx}{x(x^5+3)}$
cbse
class12
modelpaper
2013
sec-b
q18
65-1
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
Differentiate the following function w.r.t \(x\) $ x^{\large \sin x}+(\sin\: x)^{\large \cos x}$
cbse
class12
modelpaper
2012
sec-b
q18
medium
math
asked
Feb 17, 2013
by
thanvigandhi_1
1
answer
Evaluate : $\begin{align*} \int \limits_{0}^{2}(x^2+3)dx \end{align*}$ as limit of sum.
cbse
class12
modelpaper
2012
sec-b
q18
medium
math
asked
Feb 15, 2013
by
thanvigandhi_1
1
answer
Solve the following differential equation : $ ((x^2-y^2)dx+2xydy=0)$ given that y = 1 when x = 1.
cbse
class12
modelpaper
2012
sec-b
q18
math
asked
Feb 11, 2013
by
thanvigandhi_1
1
answer
Solve the following differential equation : \(\large \frac{dy}{dx}=\frac{x(2y-x)}{x(2y+x)},\) if y = 1 when x = 1.
cbse
class12
modelpaper
2012
sec-b
q18
difficult
math
asked
Feb 11, 2013
by
thanvigandhi_1
1
answer
Evaluate : $ \int_{\Large\frac{\pi}{6}}^{\Large\frac{\pi}{3}}\large\frac{\sin\: x + \cos \: x}{\sqrt{\sin\: 2x}}$$ dx$
cbse
class12
modelpaper
2012
sec-b
q18
difficult
math
asked
Feb 9, 2013
by
thanvigandhi_1
1
answer
Form the differential equation representing the family of ellipses having foci on x - axis and center at the origin.
cbse
class12
modelpaper
2012
sec-b
q18
easy
math
asked
Feb 9, 2013
by
thanvigandhi_1
1
answer
Solve : $ (x^2+xy)dy=(x^2+y^2)dx $
cbse
class12
modelpaper
2012
sec-b
q18
medium
math
asked
Feb 8, 2013
by
thanvigandhi_1
1
answer
Solve : $\large \frac{dy}{dx}+\frac{y}{x}=e^x$
cbse
class12
modelpaper
2012
sec-b
q18
medium
math
asked
Feb 8, 2013
by
thanvigandhi_1
1
answer
Find $ \int_2^8 \large\frac{\sqrt{10-x}}{\sqrt x+\sqrt{10-x}}$$dx $
cbse
class12
modelpaper
2012
sec-b
q18
medium
math
asked
Feb 7, 2013
by
thanvigandhi_1
1
answer
The volume of spherical balloon being inflated changes at a constant rate. If initially its radius is 3 units and after 3 seconds it is 6 units. Find the radius of balloon after t seconds.
cbse
class12
modelpaper
2012
sec-b
q18
medium
math
asked
Feb 6, 2013
by
thanvigandhi_1
1
answer
If A, B, C are events associated with random expt. Prove that \[ PtP(A\cup B\cup C)=P(A)+P(B)+P(C)-P(A\cap B)-P(A\cap C)-P(B\cap C)+P(A\cap B\cap C)\]
cbse
class12
additionalproblem
kvquestionbank2012
ch13
q18
p41
math
asked
Feb 5, 2013
by
meena.p
0
answers
Find the vector equation of the plane through the intersection of the planes $ \bar{r}. (2\bar{j}+6\bar{j})+12=0$ & $ \bar{r}.(3\bar{i}-\bar{j}+4\bar{k})=0$ which are at a unit distance from the origin.
cbse
class12
additionalproblem
kvquestionbank2012
ch11
q18
p38
math
asked
Feb 5, 2013
by
meena.p
0
answers
Using vector method, find the angle between two diagonals of a cube?
cbse
class12
additionalproblem
kvquestionbank2012
ch10
q18
p36
medium
sec-b
math
asked
Feb 5, 2013
by
meena.p
1
answer
Solve the following differential equations : $ xdy-ydx=\sqrt{x^2+y^2}dx $
cbse
class12
modelpaper
2012
sec-b
q18
medium
math
asked
Feb 5, 2013
by
thanvigandhi_1
1
answer
Solve:\[\frac{dy}{dx}=\frac{x^2+y^2+1}{2xy},\;where\; y(1)=1\]
cbse
class12
additionalproblem
kvquestionbank2012
ch9
q18
p34
sec-c
math
asked
Feb 4, 2013
by
meena.p
0
answers
Find the area of the region \[\{(x,y):y^2\leq4x,4x^2+4y^2=9\}\]
cbse
class12
additionalproblem
kvquestionbank2012
ch8
q18
p32
math
asked
Feb 4, 2013
by
meena.p
0
answers
Solve the following differential equation: $e^x\tan\: y\: dx+(1-e^x)\sec^2ydy=0$
cbse
class12
modelpaper
2012
sec-b
q18
math
asked
Feb 4, 2013
by
thanvigandhi_1
0
answers
Show that the differential equation $ 2y.e^{\large\frac{x}{y}}dx+(y-2xe^{\large\frac{x}{y}})dy=0. $ is homogeneous and find its particular solution given that x = 0 when y = 1.
cbse
class12
modelpaper
2012
sec-b
q18
math
asked
Feb 4, 2013
by
thanvigandhi_1
0
answers
Find the particular solution of the differential equation : \( \large\frac{dy}{dx}+y\cot x=2x+x^2\cot x, x \neq 0\) given that y = 0 when \( x=\large\frac{\pi}{2}.\)
cbse
class12
modelpaper
2012
sec-b
q18
math
asked
Feb 4, 2013
by
thanvigandhi_1
0
answers
Evaluate : \[ \int \frac{x}{x^3-1} dx \]
cbse
class12
modelpaper
2012
sec-b
q18
math
asked
Feb 3, 2013
by
thanvigandhi_1
0
answers
Evaluate : $ \int \large\frac{\sin x\cos x}{a^2\sin^2x+b^2+\cos^2x}$$dx $
cbse
class12
modelpaper
2012
sec-b
q18
math
asked
Feb 2, 2013
by
thanvigandhi_1
0
answers
If \( \hat i+\hat j + \hat k, \: 2\hat i + 5\hat j,\: 3\hat i + 2\hat j - 3\hat k\) and \( \hat i - 6\hat j - \hat k\) respectively are the position vectors of the point A, B, C and D, then find the angle between AB and CD are parallel.
cbse
class12
modelpaper
2012
sec-b
q18
math
asked
Jan 31, 2013
by
thanvigandhi_1
0
answers
Using vectors, prove cosine formula $ \cos \: A = \large\frac{b^2+c^2-a^2}{2bc} $
cbse
class12
modelpaper
2012
sec-b
q18
math
asked
Jan 31, 2013
by
thanvigandhi_1
0
answers
$\Large \frac {1}{x(x^4-1)^4}=$\[(a)\;\log \bigg[\frac{x^4}{x^4-1}\bigg]\qquad (b)\;\frac{1}{2}\log \bigg[\frac{x^2+1}{x^2+1}\bigg]\qquad(c)\;\frac{1}{4} log \bigg[\frac{x^4-1}{x^4}\bigg]\qquad(d)\;\log \frac{x(x^2-1}{x^2+1}\bigg]\]
cbse
class12
additionalproblem
kvquestionbank2012
ch7
q18
p25
math
asked
Jan 31, 2013
by
meena.p
0
answers
Prove that an angle in a semi-circle is a right angle (using vector only).
cbse
class12
modelpaper
2012
sec-b
q18
math
asked
Jan 31, 2013
by
thanvigandhi_1
1
answer
Find p, when the scalar projection of \( \overrightarrow a = p\hat i + \hat j + 4\hat k \: on \: \overrightarrow b = 2\hat i + 6\hat j + 3\hat k\) is 4 units.
cbse
class12
modelpaper
2012
sec-b
q18
math
asked
Jan 31, 2013
by
thanvigandhi_1
0
answers
Evaluate : $ \int_1^4 \large\frac{\sqrt x \: dx}{\sqrt{5-x}+\sqrt x}$
cbse
class12
modelpaper
2012
sec-b
q18
math
asked
Jan 30, 2013
by
thanvigandhi_1
0
answers
Solve the differential equation : $ (x^3+y^3)dy-x^2ydx=0.$
cbse
class12
modelpaper
2012
sec-b
q18
math
asked
Jan 29, 2013
by
thanvigandhi_1
0
answers
'C' on LMV for $f(x)=x^2-3x$ in [0,1] is \[(a)\;0 \qquad(b)\;\frac{1}{2}\qquad(c)\;-\frac{1}{2}\qquad(d)\;does\;not\;exist\]
cbse
class12
additionalproblem
kvquestionbank2012
ch6
q18
p17
math
asked
Jan 29, 2013
by
meena.p
0
answers
Find the area bounded by the curve $x^2 = 4y$ and the straight line 4y - 2 = x
cbse
class12
modelpaper
2005
sec-a
q18
math
asked
Jan 28, 2013
by
fingeazy
0
answers
Show that $ x\cos \: \bigg(\large\frac{y}{x} \bigg) \large\frac{dy}{dx}=$$y\cos \bigg(\large \frac{y}{x} \bigg) +x$ is homogeneous and solve it.
cbse
class12
modelpaper
2012
sec-b
q18
math
asked
Jan 28, 2013
by
thanvigandhi_1
0
answers
Solve the differential equation : $ y-x\large\frac{dy}{dx}=$$a \bigg( y^2+x^2\large\frac{dy}{dx} \bigg) $ where $x=a, y=a.$
cbse
class12
modelpaper
2012
sec-b
q18
math
asked
Jan 28, 2013
by
thanvigandhi_1
0
answers
Solve the following differential equation : $ \large\frac{dy}{dx}$$+2y=xe^{4x} $
cbse
class12
modelpaper
2012
sec-b
q18
math
asked
Jan 27, 2013
by
thanvigandhi_1
0
answers
Determine the values of a, b and c for which the function :$f(x)= \left\{ \begin{array}{1 1} \Large\frac{\sin (a+1)x+\sin x}{x} & \quad ,\;x<0 \\ c & \quad ,\;x=0 \\ \Large\frac{\sqrt{x+bx^2}-\sqrt x}{b\sqrt{x^3}} & \quad ,\;x>0 \end{array} \right. $ may continuous at x = 0
cbse
class12
additionalproblem
kvquestionbank2012
ch5
q18
p12
medium
math
sec-b
asked
Jan 25, 2013
by
meena.p
1
answer
Solve the following differential equation $2ye^{\large\frac{x}{y}} dx + (y-2x.e^{\large\frac{x}{y}})$$dy = 0 $
cbse
class12
modelpaper
2012
sec-b
q18
math
asked
Jan 25, 2013
by
thanvigandhi_1
0
answers
Solve the following differential equation : $(x^2+xy)dy+(3xy+y^2)dx=0.$
cbse
class12
modelpaper
2012
sec-b
q18
math
asked
Jan 24, 2013
by
thanvigandhi_1
0
answers
If $ A=\begin{bmatrix} 2 & 0 & 0 \\ 0 & 2 & 0 \\ 0 & 0 & 2 \end{bmatrix},\;then\;A^5=?$
cbse
class12
additionalproblem
kvquestionbank2012
ch3
q18
p8
math
sec-a
asked
Jan 24, 2013
by
meena.p
1
answer
(i) Assume that on a diwali day Neeraj Gautam went to market with Vanya and Paurush to buy fireworks. Each of them selected fireworks of their choice. Neeraj gave Rs.60 for 3 rockets, 4 fountains and 2 bombs, while Vanya gave Rs. 76 for 6 fountains, 2 rockets and 3 bombs and Paurush gave Rs.80 for the cost of 2 fountains, 4 rockets and 6 bombs. If the cost of same item of firework is same. Find the cost of each item per unit by matrix method.
cbse
class12
modelpaper
2012
sec-b
q18
math
asked
Jan 24, 2013
by
thanvigandhi_1
0
answers
Prove that :$\cot^{-1}\bigg[\frac{ab+1}{a-b}\bigg]+\cot^{-1}\bigg[\frac{bc+1}{b-c}\bigg]+\cot^{-1}\bigg[\frac{ca+1}{c-a}\bigg]=0$
cbse
class12
additionalproblem
kvquestionbank2012
ch2
q18
p6
medium
sec-b
math
asked
Jan 24, 2013
by
meena.p
1
answer
If the function $ f\;:\;R \rightarrow A $ given by $f(x)=\frac{x^2}{x^2+1}$is surjection, find the set A.
cbse
class12
additionalproblem
kvquestionbank2012
ch1
q18
p4
math
sec-b
asked
Jan 23, 2013
by
meena.p
0
answers
Evaluate : $ \int \large\frac{1-x^2}{x(1-2x)}$$dx.$
cbse
class12
modelpaper
2012
sec-b
q18
math
asked
Jan 23, 2013
by
thanvigandhi_1
0
answers
Find the intervals in which the following function is strictly increasing or decreasing \( f(x)=8+36x+3x^2-2x^3\)
cbse
class12
modelpaper
2012
sec-b
q18
math
asked
Jan 21, 2013
by
thanvigandhi_1
0
answers
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