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Recent questions tagged q16
Questions
In a hostel, 60% of the students read Hindi news paper, 40% read English news paper and 20% read both Hindi and English news papers. A student is selected at random. If she reads Hindi news paper, find the probability that she reads English news paper.
class12
cbse
bookproblem
ch13
sec2
q16
q16-2
easy
sec-a
math
asked
Jun 19, 2013
by
balaji.thirumalai
1
answer
In a hostel, 60% of the students read Hindi news paper, 40% read English news paper and 20% read both Hindi and English news papers. A student is selected at random. Find the probability that she reads neither Hindi nor English news papers.
class12
bookproblem
cbse
p548
sec2
ch13
easy
sec-a
q16
q16-1
math
asked
Jun 19, 2013
by
balaji.thirumalai
1
answer
If P(A) = $\large \frac{1}{2}$ and P(B) = 0, then P$\large(\frac{A}{B})$ is?
class12
cbse
easy
bookproblem
sec-a
ch13
sec1
q16
p540
math
asked
Jun 18, 2013
by
balaji.thirumalai
1
answer
The initial and final temperature of a liquid in a container are observe to be $76.3 \pm0.5 ^{\circ} c$ and $27.7 \pm 0.2 ^{\circ} c$. Find the fall in temperature.
jeemain
physics
class11
ch2
units-and-measurement
q16
easy
accuracy-precision-and-errors-in-measurement
asked
Jun 17, 2013
by
meena.p
1
answer
For what values of $x$ is the rate of increase of $x^{3}-2x^{2}+3x+8$ is twice the rate of increase of $x$
tnstate
class12
bookproblem
p230
objective
q16
asked
May 15, 2013
by
poojasapani_1
1
answer
In a system of $3$ linear non-homogeneous equation with three unknowns,if $\bigtriangleup=0\;$ and $\;\bigtriangleup_{x}=0 ,\bigtriangleup_y\neq 0 $ and $ \bigtriangleup_z=0$ then the system has
tnstate
class12
bookproblem
p264
objective
q16
modelpaper
jun-2006
jun-2007
mar-2010
asked
May 7, 2013
by
poojasapani_1
1
answer
The area of the region bounded by the curve $xy=1, x$-axis$\;x=1.$ Find the volume of the solid generated by revolving the area mentioned about $x$-axis.
tnstate
class12
bookproblem
ch7
sec-1
exercise7-4
p118
q16
asked
Apr 30, 2013
by
poojasapani_1
1
answer
Using Demoivre's theorem,find the least value of n for which $\bigg(\large\frac{i+\sqrt 3 i}{\sqrt 2(1+i)}\bigg)^n$ is purely imaginary.
isc
class12
modelpaper
2003
part-2
sec-d
q16
q16-b
asked
Apr 22, 2013
by
sreemathi.v
0
answers
Solve : $(1+y+x^2y)dx+(x+x^3)dy=0$
isc
class12
modelpaper
2003
part-2
sec-d
q16
q16-a
asked
Apr 22, 2013
by
sreemathi.v
0
answers
Solve the differential equation $\large\frac{d^2y}{dx^2}\normalsize=\sin 2x$
isc
class12
modelpaper
2004
part-2
sec-d
q16
q16-b
asked
Apr 19, 2013
by
sreemathi.v
0
answers
Using DeMoivre's theorem find the value of $(2-2i)^{\large\frac{1}{3}}$.
isc
class12
modelpaper
2004
part-2
sec-d
q16
16-a
asked
Apr 19, 2013
by
sreemathi.v
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
If x=$acos^3\theta$ and y=$asin^3\theta,$then find the value of $\Large \frac{d^2y}{dx^2}$ at $ \theta=\Large \frac{\pi}{6}$.
cbse
class12
modelpaper
2013
sec-b
q16
q16-2
65-1
65-2
q12
q12-2
65-3
math
asked
Mar 20, 2013
by
sreemathi.v
1
answer
Find the value of k, for which $f(x) =\left\{\begin{array}{1 1}\frac{\sqrt{1+kx}-\sqrt{1-kx}}{x}, & if\;-1\leq x<0\\\frac{2x+1}{x-1}, & if\;0\leq x<1\end{array}\right.$ is continuous at x=0.
cbse
class12
modelpaper
2013
sec-b
q16
q16-1
65-1
65-2
q12
q12-1
65-3
math
asked
Mar 20, 2013
by
sreemathi.v
1
answer
\[ \text{For the matrix A = } \begin{bmatrix} 2&-1&1 \\ -1& 2&- 1 \\ 1 &-1& 2 \end{bmatrix} \] \[ \text{Show that } A^{3} - 6A^{2} + 9A - 4I = O. \text{ Hence, find } A^{-1}\]
cbse
class12
bookproblem
ch4
sec5
q16
p132
difficult
sec-c
math
asked
Feb 26, 2013
by
sreemathi.v
1
answer
By using properties of determinants, prove the following: \[ \begin{vmatrix} x+4 & 2x & 2x \\ 2x & x+4 & 2x \\ 2x & 2x & x+4 \end{vmatrix}=(5x+4)(4-x)^2 \]
cbse
class12
modelpaper
2012
sec-b
q16
math
asked
Feb 17, 2013
by
thanvigandhi_1
1
answer
Show that $ \int_0^{\large\frac{\pi}{2}} \sqrt{\tan\: x}+\sqrt{\cot x}=\sqrt {2\pi} $
cbse
class12
modelpaper
2012
sec-b
q16
difficult
math
asked
Feb 15, 2013
by
thanvigandhi_1
1
answer
Find the equation of tangent to the curve \( x-\sin\: 3t, y=\cos\: 2t \: at \: t=\large\frac{\pi}{4}.\)
cbse
class12
modelpaper
2012
sec-b
q16
math
asked
Feb 11, 2013
by
thanvigandhi_1
1
answer
If \( y = \tan^{-1}x\) show that $(1+x^2)\large\frac{d^2y}{dx^2}$$+2x\large\frac{dy}{dx}$$=0$
cbse
class12
modelpaper
2012
sec-b
q16
easy
math
asked
Feb 9, 2013
by
thanvigandhi_1
1
answer
Find the intervals in which the following function is (a) increasing (b) decreasing : $ f(x) = x^3-12x^2+36x+17 $
cbse
class12
modelpaper
2012
sec-b
q16
medium
math
asked
Feb 9, 2013
by
thanvigandhi_1
1
answer
Find the equation of the tangent to the curve \( x^2+3y=3\), which is parallel to the line $ y-4x+5=0$
cbse
class12
modelpaper
2012
sec-b
q16
easy
math
asked
Feb 9, 2013
by
thanvigandhi_1
1
answer
Find the angle of intersection of the curve $( y^2=x \: and \: x^2=y)$
cbse
class12
modelpaper
2012
sec-b
q16
medium
math
asked
Feb 8, 2013
by
thanvigandhi_1
1
answer
Find $\large \frac{dy}{dx}$ if $ x=\large\frac{1+\log\:t}{t^2}$$,y= \large\frac{3+2log\: t}{t} $
cbse
class12
modelpaper
2012
sec-b
q16
medium
math
asked
Feb 7, 2013
by
thanvigandhi_1
1
answer
Find the equation of tangent lines to the curve \( y=4x^3-3x+5\) which are perpendicular to the line \( 9y+x+3=0\)
cbse
class12
modelpaper
2012
sec-b
q16
medium
math
asked
Feb 6, 2013
by
thanvigandhi_1
1
answer
If \( y=\log [x+\sqrt{x^2+1}],\) prove that \( (x^2+1)\large\frac{d^2y}{dx^2}+x\frac{dy}{dx}=0.\)
cbse
class12
modelpaper
2012
sec-b
q16
medium
math
asked
Feb 6, 2013
by
thanvigandhi_1
1
answer
Prove that : $\large \frac{d}{dx} \bigg[ \frac{x}{2} \sqrt{a^2-x^2} + \frac{a^2}{2} \sin^{-1}\bigg( \frac{x}{a} \bigg) \bigg] = \sqrt{a^2-x^2} $
cbse
class12
modelpaper
2012
sec-b
q16
difficult
math
asked
Feb 6, 2013
by
thanvigandhi_1
1
answer
The mean and variance of a binomial distribution are $ 4 \;and\;\frac{4}{3}.\;Find\;P(X\geq1).$
cbse
class12
additionalproblem
kvquestionbank2012
ch13
q16
p41
math
asked
Feb 5, 2013
by
meena.p
1
answer
Find the values of P so that the lines $ \Large\frac{1-x}{3}=\frac{7y-14}{2p}=\frac{z-3}{2}$ and $ \Large\frac{7-7x}{3p}=\frac{y-5}{1}=\frac{6-z}{5}$ are at right angles.
cbse
class12
additionalproblem
kvquestionbank2012
ch11
q16
p38
math
asked
Feb 5, 2013
by
meena.p
1
answer
In a triangle ABC, prove that $\Large\frac{a}{\sin A}=\frac{b}{\sin B}=\frac{c}{\sin C}$
cbse
class12
additionalproblem
kvquestionbank2012
ch10
q16
p36
difficult
sec-b
math
asked
Feb 5, 2013
by
meena.p
1
answer
If $ x=\tan\bigg(\large\frac{1}{a}$$\ log \: y \bigg) $ show that $ (1+x^2)\large\frac{d^2y}{dx^2}$$+(2x-a)\large\frac{dy}{dx}=0 $
cbse
class12
modelpaper
2012
sec-b
q16
medium
math
asked
Feb 5, 2013
by
thanvigandhi_1
1
answer
Solve:\[\frac{dy}{dx}=\frac{y^2+y+1}{x^2+x+1}=0.\]
cbse
class12
additionalproblem
kvquestionbank2012
ch9
q16
p34
sec-b
math
asked
Feb 4, 2013
by
meena.p
0
answers
Find a vector of magnitude 5 units, and parallel to the resultant of the vectors \( \overrightarrow a = 2\hat i + 3\hat j - \hat k \: and \: \overrightarrow b = \hat i - 2\hat j + \hat k\)
cbse
class12
modelpaper
2012
sec-b
q16
easy
math
asked
Feb 4, 2013
by
thanvigandhi_1
1
answer
Sketch the region of the ellipse and find its area using integration. $\Large\frac{x^2}{a^2}+\frac{y^2}{b^2}=1\qquad a>b.$
cbse
class12
additionalproblem
kvquestionbank2012
ch8
q16
p32
math
asked
Feb 4, 2013
by
meena.p
0
answers
Sand is pouring from a pipe at the rate of \( 12 cm^3/s.\) The falling sand forms a cone on the ground in such a way that the height of the cone is always one-sixth of the radius of the base. How fast is the height of the sand cone increasing when the height is 4 cm?
cbse
class12
modelpaper
2012
sec-b
q16
math
asked
Feb 4, 2013
by
thanvigandhi_1
0
answers
Find the points on the curve \( x^2+y^2-2x-3=0\) at which the tangents are parallel to x - axis.
cbse
class12
modelpaper
2012
sec-b
q16
math
asked
Feb 4, 2013
by
thanvigandhi_1
0
answers
A water tank has the shape of an inverted right circular cone with its axis vertical and vertex lower most. Its semi-vertical angle is \( \tan^{-1} \bigg(\large\frac{1}{2} \bigg) \). Water is poured into it at a constant rate of 5 cubic meter per minute. Find the rate at which the level of the water is rising at the instant when the depth of water in the tank is 10 m.
cbse
class12
modelpaper
2012
sec-b
q16
math
asked
Feb 4, 2013
by
thanvigandhi_1
0
answers
Find all the points of discontinuity of the function \( f(x)=[x^2]\) on [1,2), where [.] denotes the greatest integer function.
cbse
class12
modelpaper
2012
sec-b
q16
math
asked
Feb 3, 2013
by
thanvigandhi_1
0
answers
Differentiate \( \sin^{-1}(2x\sqrt{1-x^2})\) w.r.t. \( \cos^{-1} \bigg( \large\frac{1-x^2}{1+x^2} \bigg) \).
cbse
class12
modelpaper
2012
sec-b
q16
math
asked
Feb 3, 2013
by
thanvigandhi_1
0
answers
If \( y=log \bigg( x+\sqrt{x^2+1} \bigg)\), then prove that $(x^2+4)\large\frac{d^2y}{dx^2}$$+x\large\frac{dy}{dx}=0$.
cbse
class12
modelpaper
2012
sec-b
q16
math
asked
Feb 2, 2013
by
thanvigandhi_1
0
answers
Evaluate : $ \int \large\frac{1}{1+x^4}$$ dx$
cbse
class12
modelpaper
2012
sec-b
q16
math
asked
Jan 31, 2013
by
thanvigandhi_1
0
answers
$\Large\int \frac {2xdx}{1+x^4}=$\[(a)\;\tan^{-1} (x^2) \qquad (b)\;\frac{1}{2}\tan^{-1} x^2 \qquad(c)\;log (1+x^4)\qquad(d)\;\tan^{-1} \bigg(\frac{1}{x^2}\bigg)\]
cbse
class12
additionalproblem
kvquestionbank2012
ch7
q16
p24
math
asked
Jan 31, 2013
by
meena.p
0
answers
Show that equation of the tangent to the ellipse $\large\frac{x^2}{a^2}+\frac{y^2}{b^2}$$=1$ at \( (x_0,y_0) \) is $\large\frac{xx_0}{a^2}+\frac{yy_0}{b^2}$$=1 $
cbse
class12
modelpaper
2012
sec-b
q16
math
asked
Jan 31, 2013
by
thanvigandhi_1
0
answers
Evaluate : $ \int \large\frac{dx}{sin\: x (3+2\cos x) } $
cbse
class12
modelpaper
2012
sec-b
q16
math
asked
Jan 30, 2013
by
thanvigandhi_1
0
answers
Using matrices, solve the following system of linear equations: $$x + y + z = 4$$ $$2x - y + z = -1 $$ $$2x + y - 3z = -9$$
cbse
class12
modelpaper
2005
sec-a
q16
math
asked
Jan 29, 2013
by
fingeazy
1
answer
If $A= \begin{bmatrix} 3 & 1 \\[0.3em] 7 & 5 \end{bmatrix}$ find x and y such that $A2 + xl = yA$. Hence find A - 1.
cbse
class12
modelpaper
2005
sec-a
q16
math
asked
Jan 29, 2013
by
fingeazy
0
answers
Find the points on the curve \( y = 5x^2-2x^3\) at which the tangent is parallel to the line \( y-4x=5.\)
cbse
class12
modelpaper
2012
sec-b
q16
math
asked
Jan 29, 2013
by
thanvigandhi_1
1
answer
Find the intervals in which the following function is (a) increasing (b) decreasing $ f(x)=2x^3-9x^2+12x+30 $
cbse
class12
modelpaper
2012
sec-b
q16
math
asked
Jan 29, 2013
by
thanvigandhi_1
0
answers
If $ x=a(\theta-\sin \theta).y=a(1-\cos \theta) \;then\; \Large\frac{d^2y}{dx^2}\;\normalsize at\;\theta=\Large\frac{\pi}{2}\;is.$\[(a)\;\frac{1}{a}\qquad(b)\;\frac{1}{2}\qquad(c)\;-\frac{1}{a}\qquad(d)\;-\frac{1}{2a}\qquad\]
cbse
class12
additionalproblem
kvquestionbank2012
ch6
q16
p17
math
asked
Jan 29, 2013
by
meena.p
0
answers
Find the equations of tangent and normal to curve \( y=x-\sin x\cos x\) at \( x=\large\frac{\pi}{2}.\)
cbse
class12
modelpaper
2012
sec-b
q16
math
asked
Jan 28, 2013
by
thanvigandhi_1
0
answers
Prove that : $\int_{-a}^a \sqrt{\large\frac{a-x}{a+x}}dx=a\pi$
cbse
class12
modelpaper
2012
sec-b
q16
math
asked
Jan 27, 2013
by
thanvigandhi_1
0
answers
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