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Recent questions in TN XII Math
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TN XII Math
TN XII Math
Applications of Matrices and Determinants
(46)
Vector Algebra
(113)
Complex Numbers
(64)
Analytical Geometry
(102)
Differential Calculus Applications - I
(110)
Differential Calculus Applications - II
(42)
Integral Calculus and its applications
(54)
Differential Equations
(67)
Discrete Mathematics
(40)
Probability Distribution
(64)
Objective type Questions and Answers
(271)
19. The total monthly earnings of a worker in a factory is given by I = p + qx + ry, where x denotes the number of points of honesty and y denotes the number of points of punctuality. Data for three months are as follows: Month Earnings X (no. of points) Y(no. of points) 1 6950 40 10 2 6725 35 9 3 7100 40 12 (a) Represent the above data by linear equations and write its matrix form. (b) Is it possible to solve the system of equations so obtained using matrices? (c) Which value you prefer to be rewarded most and why?
asked
Jun 12, 2015
by
samaira886
1
answer
How to draw the graph for this ..
asked
Dec 5, 2014
by
govindan.abhilash
0
answers
how become limits 0 to 2 for parabola and 2 to 4 for the circle..can u help me
asked
Dec 5, 2014
by
govindan.abhilash
1
answer
How to draw a graph for this....do the needful...
asked
Dec 3, 2014
by
govindan.abhilash
1
answer
Differential equation - Linear
asked
Nov 20, 2014
by
govindan.abhilash
2
answers
Homogeneous equation
asked
Nov 16, 2014
by
govindan.abhilash
1
answer
Solve the homogeneous equ: $\frac{dy}{dx}+\frac{y}{x} = \frac{y^2}{x^2}$
asked
Nov 13, 2014
by
govindan.abhilash
1
answer
A discrete random variable X has the following probability distributions (see table below). (iii) Find P(3 < x < 7)
tnstate
class12
bookproblem
ch10
sec2
exercise10-1
p203
q4
q4-3
asked
Sep 16, 2013
by
sreemathi.v
1
answer
A discrete random variable X has the following probability distributions (see table below). (ii) Find P(x < 3)
tnstate
class12
bookproblem
ch10
sec2
exercise10-1
p203
q4
q4-2
asked
Sep 16, 2013
by
sreemathi.v
1
answer
Use the truth table to establish which of the following statements are tautologies and which are contradictions.
tnstate
class12
bookproblem
ch9
sec1
exercise9-3
p167
q1
q1-5
modelpaper
jun-2008
asked
Sep 13, 2013
by
sreemathi.v
1
answer
Use the truth table to establish which of the following statements are tautologies and which are contradictions.
tnstate
class12
bookproblem
ch9
sec1
exercise9-3
p167
q1
q1-4
asked
Sep 13, 2013
by
sreemathi.v
1
answer
Use the truth table to establish which of the following statements are tautologies and which are contradictions.
tnstate
class12
bookproblem
ch9
sec1
exercise9-3
p167
q1
q1-3
modelpaper
oct-2009
asked
Sep 13, 2013
by
sreemathi.v
1
answer
Use the truth table to establish which of the following statements are tautologies and which are contradictions.
tnstate
class12
bookproblem
ch9
sec1
exercise9-3
p167
q1
q1-2
asked
Sep 13, 2013
by
sreemathi.v
1
answer
Solve the following differential equation;$(D^{2}-13D+12)$y$=e^{-2x}+5e^x$
tnstate
class12
bookproblem
ch8
sec-1
exercise8-5
p150
q4
asked
Sep 5, 2013
by
sreemathi.v
1
answer
Can I put k=1,2,3 ?
xii
math
sec-c
medium
asked
Jul 17, 2013
by
stalinwebsite
1
answer
Find the equation of parabola if : Vertex $(1 , 4); $ open left ward and passing through the point $(-2,10)$
tnstate
class12
bookproblem
ch4
sec-1
exercise4-1
q1
q1-6
p192
asked
Jun 24, 2013
by
sreemathi.v
1
answer
Find the equation of the hyperbola if centre: $(0 , 0 )$ length of the semi-transverse axis is $6; e=3$ and the transverse axis is parallel to $y$-axis.
tnstate
class12
bookproblem
ch4
sec-1
exercise4-3
q1
q1-3
p237
mar-2007
modelpaper
asked
Jun 19, 2013
by
sreemathi.v
1
answer
Find all the values of $\bigg(\large\frac{1}{2}$$-i\large\frac{\sqrt 3}{2}\bigg)^{\Large\frac{3}{4}}$ and hence prove that the product of the values is 1.
tnstate
class12
bookproblem
ch3
exercise3-5
q5
p166
oct-2007
mar-2008
modelpaper
asked
Jun 13, 2013
by
sreemathi.v
1
answer
Solve : $x^4-x^3+x^2-x+1=0$
tnstate
class12
bookproblem
ch3
exercise3-5
q4
q4-2
p166
jun-2008
asked
Jun 13, 2013
by
sreemathi.v
1
answer
Solve : $x^4+4=0$
tnstate
class12
bookproblem
ch3
exercise3-5
q4
q4-1
p166
jun-2006
oct-2008
oct-2009
modelpaper
asked
Jun 12, 2013
by
sreemathi.v
1
answer
Prove that if $\omega^3=1$,then (iii) $\large\frac{1}{1+2\omega}-\frac{1}{1+\omega}+\frac{1}{2+\omega}$$=0$
tnstate
class12
bookproblem
ch3
exercise3-5
q3
q3-3
p166
asked
Jun 12, 2013
by
sreemathi.v
1
answer
Prove that if $\omega^3=1$,then (ii) $\bigg(\large\frac{-1+i\sqrt 3}{2}\bigg)^5+\bigg(\large\frac{-1-i\sqrt 3}{2}\bigg)^5$$=-1$
tnstate
class12
bookproblem
ch3
exercise3-5
q3
q3-2
p166
asked
Jun 12, 2013
by
sreemathi.v
1
answer
Prove that if $\omega^3=1$,then (i) $(a+b+c)(a+b\omega+c\omega^2)(a+b\omega^2+c\omega)=a^3+b^3+c^3-3abc$
tnstate
class12
bookproblem
ch3
exercise3-5
q3
q3-1
p166
asked
Jun 12, 2013
by
sreemathi.v
1
answer
If $x=a+b$,$y=a\omega+b\omega^2,z=a\omega^2+b\omega$ show that (ii) $x^3+y^3+z^3=3(a^3+b^3)$ where $\omega$ is the complex cube root of unity.
tnstate
class12
bookproblem
ch3
exercise3-5
q2
q2-2
p166
asked
Jun 12, 2013
by
sreemathi.v
1
answer
If $x=a+b$,$y=a\omega+b\omega^2,z=a\omega^2+b\omega$ show that (i) $xyz=a^3+b^3$ where $\omega$ is the complex cube root of unity.
tnstate
class12
bookproblem
ch3
exercise3-5
q2
q2-1
p166
asked
Jun 12, 2013
by
sreemathi.v
1
answer
Find all the value of the following : $(-\sqrt 3-i)^{\large\frac{2}{3}}$
tnstate
class12
bookproblem
ch3
exercise3-5
q1
q1-3
p166
asked
Jun 12, 2013
by
sreemathi.v
1
answer
Find all the value of the following : $(8i)^{\large\frac{1}{3}}$
tnstate
class12
bookproblem
ch3
exercise3-5
q1
q1-2
p166
asked
Jun 12, 2013
by
sreemathi.v
1
answer
Find all the value of the following : $(i)^{\large\frac{1}{3}}$
tnstate
class12
bookproblem
ch3
exercise3-5
q1
q1-1
p166
asked
Jun 12, 2013
by
sreemathi.v
1
answer
If $\cos \alpha +\cos \beta + \cos \gamma = 0 = \sin \alpha + \sin \beta + \sin \gamma$, prove that $\cos 2\alpha + \cos 2\beta + \cos 2\gamma = 0$
tnstate
class12
bookproblem
ch3
exercise3-4
q3
q3-3
p157
jun-2006
modelpaper
asked
Jun 11, 2013
by
sreemathi.v
1
answer
If $\cos \alpha +\cos \beta + \cos \gamma = 0 = \sin \alpha + \sin \beta + \sin \gamma$, prove that $\sin 3\alpha + \sin 3\beta + \sin 3\gamma = 3 \sin\left ( \alpha +\beta + \gamma \right )$
tnstate
class12
bookproblem
ch3
exercise3-4
q3
q3-2
p157
asked
Jun 11, 2013
by
sreemathi.v
1
answer
$P$ represents the variable complex number $z$.Find the locus of $P$,if $arg\bigg(\large\frac{z-1}{z+3}\bigg)=\large\frac{\pi}{2}$
tnstate
class12
bookproblem
ch3
sec3
exercise3-2
q8
q8-5
p150
asked
Jun 10, 2013
by
sreemathi.v
1
answer
$P$ represents the variable complex number $z$.Find the locus of $P$,if $\mid 2z-3\mid=2$
tnstate
class12
bookproblem
ch3
sec3
exercise3-2
q8
q8-4
p150
mar-2009
modelpaper
asked
Jun 10, 2013
by
sreemathi.v
1
answer
$P$ represents the variable complex number $z$.Find the locus of $P$,if $Re\bigg(\large\frac{z-1}{z+i}\bigg)$$=1$
tnstate
class12
bookproblem
ch3
sec3
exercise3-2
q8
q8-3
p150
asked
Jun 10, 2013
by
sreemathi.v
1
answer
$P$ represents the variable complex number $z$.Find the locus of $P$,if $\mid z-5i\mid=\mid z+5i\mid$
tnstate
class12
bookproblem
ch3
sec3
exercise3-2
q8
q8-2
p150
mar-2010
modelpaper
asked
Jun 10, 2013
by
sreemathi.v
1
answer
$P$ represents the variable complex number $z$.Find the locus of $P$,if $Im\bigg[\large\frac{2z+1}{iz+1}\bigg]$$=-2$
tnstate
class12
bookproblem
ch3
sec3
exercise3-2
q8
q8-1
p150
asked
Jun 10, 2013
by
sreemathi.v
1
answer
Prove that the triangle formed by the points representing the complex numbers $(10+8i),(-2+4i)$ and $(-11+31i)$ on the Argand plane is right angled.
tnstate
class12
bookproblem
ch3
sec3
exercise3-2
q4
p150
asked
Jun 10, 2013
by
sreemathi.v
1
answer
If $z^2=(0,1)$ find $z$.
tnstate
class12
bookproblem
ch3
sec3
exercise3-2
q3
p150
asked
Jun 7, 2013
by
sreemathi.v
1
answer
Find the square root of $(-8-6i)$
tnstate
class12
bookproblem
ch3
sec3
exercise3-2
q2
p150
mar-2006
oct-2006
modelpaper
asked
Jun 7, 2013
by
sreemathi.v
1
answer
The marks secured by $400$ students in a Mathematics test were normally distributed with mean $65$. If $120$ students got more marks above $85$, the number of students securing marks between $45$ nd $65$ is
tnstate
class12
bookproblem
p244
objective
q150
modelpaper
oct-2007
asked
Jun 3, 2013
by
poojasapani_1
1
answer
If $f(x)$ is a p.d.f of a normal variate $x$ and $X\sim N(\mu,\sigma^{2})$ then $\int\limits_{-\infty}^{\mu}f(x)dx $ is
tnstate
class12
bookproblem
p244
objective
q149
asked
Jun 3, 2013
by
poojasapani_1
1
answer
The random variable $X$ follows normal distribution $f(x)=ce\large\frac{-1/2(x-100)^{2}}{25}$ Then the value of $c$ is
tnstate
class12
bookproblem
p244
objective
q148
modelpaper
jun-2006
mar-2010
asked
Jun 3, 2013
by
poojasapani_1
1
answer
If $f(x)$ is a p.d.f of a normal distribution with mean $\mu$ then $\int\limits_{-\infty}^{\infty}f(x)dx$ is
tnstate
class12
bookproblem
p244
objective
q147
modelpaper
oct-2006
mar-2007
jun-2007
asked
Jun 3, 2013
by
poojasapani_1
1
answer
In a poisson distribution if $P(X=2)=P(X=3)$ then the value of its parameter $\lambda$ is
tnstate
class12
bookproblem
p244
objective
q146
asked
Jun 3, 2013
by
poojasapani_1
1
answer
For a poisson distribution with parameter $ \lambda=0.25$ the value of the $2^{nd}$ moment about the origin is
tnstate
class12
bookproblem
p244
objective
q145
modelpaper
oct-2009
asked
Jun 3, 2013
by
poojasapani_1
1
answer
The distribution function $F(X)$ of a random variable $X$ is
tnstate
class12
bookproblem
p244
objective
q144
modelpaper
mar-2008
asked
Jun 3, 2013
by
poojasapani_1
1
answer
If a random variable $X$ follows poisson distribution such that $E(X^{2})=30$ then the variance of the distribution is
tnstate
class12
bookproblem
p243
objective
q143
modelpaper
jun-2008
asked
May 30, 2013
by
poojasapani_1
1
answer
If in a poisson distribution $P(X=0)=k$ then the variance is
tnstate
class12
bookproblem
p243
objective
q142
modelpaper
oct-2007
mar-2007
oct-2008
mar-2009
asked
May 30, 2013
by
poojasapani_1
1
answer
If $2$ cards are drawn from a well shuffled pack of $52$ cards, the probability that they are of the same colours without replacement, is
tnstate
class12
bookproblem
p243
objective
q141
asked
May 30, 2013
by
poojasapani_1
1
answer
A box contains $6$ red and $4$ white balls.If $3$ balls are drawn at random, the probability of getting $2$ white balls without replacement, is
tnstate
class12
bookproblem
p243
objective
q140
asked
May 28, 2013
by
poojasapani_1
1
answer
In $16$ throws of a die getting an even number is considered a success. Then the variance of the successes is
tnstate
class12
bookproblem
p243
objective
q139
modelpaper
jun-2007
mar-2010
asked
May 28, 2013
by
poojasapani_1
1
answer
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