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Recent questions tagged q23
Questions
A lot of 100 watches is known to have 10 defective watches.If 8 watches are selected(one by one with replacement) at random,what is the probability that there will be at least one defective watch?
cbse
class12
ch13
sec3
q23
p273
short-answer
exercise9-4
math
sec-a
asked
Jan 9, 2013
by
sreemathi.v
1
answer
The cost of 4 kg onion , 3 kg wheat and 2 kg rice of Rs.60. The cost of 2 kg onion , 4 kg wheat and 6 kg rice is Rs. 90. The cost of 6 kg onion, 2 kg wheat and 3 kg rice is Rs. 70. Find cost of each item per kg by matrix method.
cbse
class12
modelpaper
2012
sec-c
q23
math
asked
Jan 9, 2013
by
thanvigandhi_1
1
answer
Using matrix method solve the following system of linear equations : $x+2y+z=7; x+3z=11 ; 2x-3y = 1$
cbse
class12
modelpaper
2012
sec-c
q23
math
asked
Jan 9, 2013
by
thanvigandhi_1
0
answers
In order to supplement daily diet,a person wishes to take some X and some wishes Y tablets. The person needs atleast 18 milligrams of iron ,21 milligrams of calcium and 16 milligram of vitamins.The price of each tablet of X and Y is Rs.2 and Rs.1 respectively.How many tablets of each should the person take in order to satisfy the above requirement at the minimum cost? The contents of iron ,calcium and vitamins in X and Y(in milligrams per tablet) are given as below: \[\] $\begin{matrix} \underline{\text{Tablets} }& \underline{\text{Iron}}&& \underline{\text{Calcium}} && \underline{\text{Vitamin}} \\ \text{X}& 6 &&3 && 2 \\ \text{Y}& 2 &&3 && 4 \\ \end{matrix}$
cbse
class12
ch12
q23
p254
exemplar
sec-c
difficult
math
asked
Jan 8, 2013
by
sreemathi.v
1
answer
If \( A = \begin{bmatrix} 2 & -3 & 5 \\ 3 & 2 & -4 \\ 1 & 1 & -2 \end{bmatrix} \), find \( A^{-1} \) . Use it to solve the following system of equations: $ \begin{array}{1 1} 2x-3y+5z=16 \\ 3x+2y-4z = -4 \\ x+y-2z=-3 \end{array} $
cbse
class12
modelpaper
2012
sec-c
q23
math
asked
Jan 7, 2013
by
thanvigandhi_1
0
answers
Using matrices, solve the following system of the linear equations : $\begin{array} xx - y = 4 \\ 2x + 3y + 4z = 17 \\ y +2z = 7 \end{array} $
cbse
class12
modelpaper
2012
sec-c
q23
math
asked
Jan 4, 2013
by
thanvigandhi_1
0
answers
Given : $ A = \begin{bmatrix} 1 & -1 & 1 \\ 1 & -2 & -2 \\ 2 & 1 & 3 \end{bmatrix}. B = \begin{bmatrix} -4 & 4 & 4 \\ -7 & 1 & 3 \\ 5 & -3 & -1 \end{bmatrix} $ Find AB and use this result in solving the following system of equations : $ \begin{array} xx - y + z = 4 \\ x - 2y - 2z = 9 \\ 2x + y +3z = 1 \end{array} $
cbse
class12
modelpaper
2012
sec-c
q23
math
asked
Jan 4, 2013
by
thanvigandhi_1
0
answers
The plane ax+by=0 is rotated about its line of intersection with the plane z=0 through an angle $\alpha$.Prove that the equation of the plane in its new position is $ax+by\pm \bigg(\sqrt {a^2+b^2}\tan \alpha\bigg)z=0$.
cbse
class12
ch11
q23
p237
exemplar
sec-c
math
asked
Jan 4, 2013
by
sreemathi.v
1
answer
Show that the function \( f : R \rightarrow { x \in R : -1 < x < 1 }\) defined by $ f(x) =\large \frac{x}{1+|x|}$$, x \in r$ is one-one and onto.
cbse
class12
modelpaper
2012
sec-c
q23
math
asked
Jan 3, 2013
by
thanvigandhi_1
0
answers
Give example of relations which are : \[ \begin{array} (i)\: Symmetric \: but \: neither \: reflexive \: nor\: transitive \\ (ii) \: Transitive\: but\: neither\: reflexive\: nor\: symmetric \\ (iii)\: Reflexive \: and\: symmetric\: but\: not \: transitive \\ (iv)\: Reflexive \: and transitive\: but\: not\: symmetric \\ (v)\: Symmetric\: and\: transitive\: but \: not\: reflexive \end{array}\]
cbse
class12
modelpaper
2012
sec-c
q23
math
asked
Jan 3, 2013
by
thanvigandhi_1
0
answers
Using matrices, solve the following system of equations : $ 2x-3y+5y = 11 ; 3x+2y-4z = -5 ; x+y-2z = -3 $
cbse
class12
modelpaper
2012
sec-c
q23
math
asked
Jan 2, 2013
by
thanvigandhi_1
0
answers
Using elementary transformations, find the inverse of the following matrix : $ \begin{bmatrix} 1 & 2 & 3 \\ 2 & 5 & 7 \\ -2 & -4 & -5 \end{bmatrix} $
cbse
class12
modelpaper
2012
sec-c
q23
ch3
easy
math
asked
Jan 2, 2013
by
thanvigandhi_1
1
answer
Show that $f(x)=|x-5|$ is continuous but not differentiable at $x=5$
cbse
class12
ch5
q23
p109
short-answer
exemplar
sec-a
easy
math
asked
Dec 31, 2012
by
sreemathi.v
1
answer
Using elementary transformation, find the inverse of $\begin{bmatrix} 1 & 3 & -2 \\ -3 & 0 & -5 \\ 2 & 5 & 0 \end{bmatrix} $
cbse
class12
modelpaper
2012
sec-c
ch3
q23
easy
math
asked
Dec 29, 2012
by
thanvigandhi_1
1
answer
Using elementary transformations, find the inverse of the matrix : $\begin{bmatrix} 1 & -1 & 2 \\ 0 & 2 & -3 \\ 3 & -2 & 4 \end{bmatrix} $
cbse
class12
modelpaper
2012
sec-c
q23
math
asked
Dec 29, 2012
by
thanvigandhi_1
0
answers
Using matrices, solve the following system of equations : $ \begin{array} xx+y+z=6 & x+2z=7 & 3x+y+z = 12 \end{array} $
cbse
class12
modelpaper
2012
sec-c
q23
math
asked
Dec 29, 2012
by
thanvigandhi_1
0
answers
Using properties of determinants, show that $ \Delta = \begin{bmatrix} (a+b)^2 & ab & ca \\ ab & (a+b)^2 & bc \\ ac & bc & (a+b)^2 \end{bmatrix} = 2abc\: (a + b + c )^3 $
cbse
class12
modelpaper
2011
sec-c
q23
math
asked
Dec 28, 2012
by
thanvigandhi_1
0
answers
If x+y+z=0,prove that $\begin{vmatrix}xa & yb & zc\\yc & za & xb\\zb & xc & ya\end{vmatrix}=xyz\begin{vmatrix}a & b & c\\c & a & b\\b & c & a\end{vmatrix}$.
cbse
class12
ch4
sec-b
q23
p80
exemplar
medium
math
asked
Dec 26, 2012
by
sreemathi.v
1
answer
If \( A = \begin{bmatrix} 2 & 1 & 3 \\ 4 & -1 & 0 \\ -7 & 2 & 1 \end{bmatrix} \), find \( A^{-1} \) and hence solve the following system of equations : $\begin{array} 2x+y+3z=3 \\ 4x-y =3 \\ -7x+2y+z=2 \end{array} $
cbse
class12
modelpaper
2012
sec-c
q23
math
asked
Dec 25, 2012
by
thanvigandhi_1
0
answers
Using matrices, solve the following system of linear equations : $ \begin{array} xx + 2y - 3z = -4 \\ 2x + 3y + 2z = 2 \\ 3x - 3y - 4z = 11 \end{array} $
cbse
class12
modelpaper
2008
sec-c
q23
math
asked
Dec 24, 2012
by
thanvigandhi_1
0
answers
If x, y, z are different numbers and \[ A = \begin{bmatrix} x & x^2 & 1+x^3 \\ y & y^2 & 1+y^3 \\ z & z^2 & 1+z^3 \end{bmatrix} = 0 \] , then show that 1 + x y z = 0
cbse
class12
modelpaper
2012
sec-b
q23
math
asked
Dec 23, 2012
by
thanvigandhi_1
0
answers
If $P=\begin{bmatrix}x & 0 &0\\0 & y & 0\\0 & 0 & z\end{bmatrix}\;$ and $\;Q=\begin{bmatrix}a & 0 & 0\\0 & b & 0\\0 & 0 & c\end{bmatrix}$ prove that $PQ=\begin{bmatrix}xa & 0 & 0\\0 & yb & 0\\0 & 0 & zc\end{bmatrix}=QP$
cbse
class12
ch3
q23
p55
short-answer
exemplar
easy
sec-b
math
asked
Dec 22, 2012
by
sreemathi.v
1
answer
The value of $\sin^{-1}\bigg(\cos\frac{33\pi}{5}\bigg)$ is
cbse
class12
ch2
q23
p37
objective
exemplar
sec-a
math
asked
Dec 20, 2012
by
sreemathi.v
1
answer
Find the equation of the plane determined by the points A( 3, -1, 2 ) , B(5, 2, 4) and C(-1, -1, 6) . Also find the distance of the point P(6, 5, 9) from the plane.
cbse
class12
modelpaper
2009
sec-c
q23
math
asked
Dec 20, 2012
by
thanvigandhi_1
0
answers
Using properties of determinants, prove the following : $ \begin{bmatrix} \alpha & \beta & \gamma \\[0.3em] \alpha^2 & \beta^2 & \gamma^2 \\[0.3em] \beta + \gamma & \gamma + \alpha & \alpha + \beta \end{bmatrix} = ( \alpha - \beta ) (\beta - \gamma) (\gamma - \alpha) ( \alpha + \beta + \gamma ) $
cbse
class12
modelpaper
2008-1
sec-c
q23
math
asked
Dec 19, 2012
by
thanvigandhi_1
0
answers
Let A={1,2,3....9} and R be the relation in AxA defined by (a,b)R(c,d) if a+d=b+c for (a,b),(c,d) in AxA.Prove that R is an equivalence relation and also obtain the equivalent class[(2,5)].
cbse
class12
ch1
q23
p13
exemplar
sec-b
math
asked
Dec 19, 2012
by
sreemathi.v
1
answer
Integrate the function $\frac{\large \sin^{-1}x}{\large \sqrt{1-x^2}}$
cbse
class12
bookproblem
ch7
sec2
q23
p305
sec-a
easy
math
asked
Dec 5, 2012
by
sreemathi.v
1
answer
Choose the correct answer in $\Large \int \normalsize\frac{\large \sin^2x-\cos^2x}{\large \sin^2x\cos^2x}dx$ is equal to
cbse
class12
bookproblem
ch7
sec3
q23
p307
sec-a
easy
math
asked
Dec 5, 2012
by
sreemathi.v
1
answer
Integrate the functions\[\frac{5x+3}{\sqrt{x^2+4x+10}}\]
cbse
class12
bookproblem
ch7
sec4
q23
p316
sec-b
medium
math
asked
Dec 5, 2012
by
sreemathi.v
1
answer
If \( y = e^{\large a \: cos^{-1}x}, -1 \leq x \leq 1\), show that \((1- x^2)\large\frac{d^2y}{dx^2}-\normalsize x\large\frac{dy}{dx} -\normalsize a^2y \; = \; 0.\)
cbse
class12
bookproblem
ch5
misc
q23
p192
sec-a
medium
math
asked
Dec 5, 2012
by
thanvigandhi_1
1
answer
Choose the correct answer in $\Large \int \normalsize\frac{\large dx}{\large x(x^2+1)}$equals
cbse
class12
bookproblem
ch7
sec5
q23
p323
sec-c
difficult
math
asked
Dec 4, 2012
by
sreemathi.v
1
answer
Choose the correct answer in $\Large \int \normalsize x^2e^{x^3}\;dx $ equals
cbse
class12
bookproblem
ch7
sec6
q23
p328
sec-a
easy
math
asked
Dec 4, 2012
by
sreemathi.v
1
answer
Integrate the function\[\int\tan^{-1}\sqrt{\frac{1-x}{1+x}}\]
cbse
class12
bookproblem
ch7
misc
q23
p353
sec-b
medium
math
asked
Dec 3, 2012
by
sreemathi.v
1
answer
The general solution of the differential equation\(\frac{\large dy}{\large dx}=e^{x+y}\)is
cbse
class12
bookproblem
ch9
sec4
q23
p397
sec-b
math
asked
Nov 30, 2012
by
sreemathi.v
1
answer
Solve the system of equations: $\large \frac{2}{x}+\frac{3}{y}+\frac{10}{z}=$$4.\quad $ $\large \frac{4}{x}-\frac{6}{y}+\frac{5}{z}$$=1.\quad $ $\large \frac{6}{x}+\frac{9}{y}-\frac{20}{z}$$=2.$
cbse
class12
bookproblem
ch4
misc
q16
p142
difficult
sec-c
modelpaper
q23
math
asked
Nov 29, 2012
by
balaji.thirumalai
1
answer
Choose the correct answer in the normal to the curve \(x^2 = 4y\) passing \((1,2)\) is
cbse
class12
bookproblem
ch6
misc
q23
p244
sec-c
medium
math
asked
Nov 28, 2012
by
thanvigandhi_1
1
answer
Translate each of the following compound statements into symbolic form:
tnstate
class12
bookproblem
ch9
sec1
exercise9-1
p161
q23
asked
Nov 27, 2012
by
balaji.thirumalai
0
answers
Prove that the volume of the largest cone that can be inscribed in a sphere of radius R is\(\large\frac{8}{27}\) of the volume of the sphere.
cbse
class12
bookproblem
ch6
sec5
q23
p233
sec-c
difficult
math
asked
Nov 27, 2012
by
thanvigandhi_1
1
answer
A bag contains 4 red and 4 black balls, another bag contains 2 red and 6 black balls. One of the two bags is selected at random and a ball is drawn from the bag which is found to be red. Find the probability that the ball is drawn from the first bag.
cbse
class12
bookproblem
ch13
sec3
p556
q2
sec-b
medium
modelpaper
2012
q23
math
asked
Nov 27, 2012
by
balaji.thirumalai
1
answer
Prove that the curves \(x = y^2\) and \(xy = k\) cut at right angles* if \(8k^2 = 1.\)
cbse
class12
bookproblem
ch6
sec3
q23
p213
sec-b
medium
math
asked
Nov 24, 2012
by
thanvigandhi_1
1
answer
A cottage industry manufactures pedestal lamps and wooden shades, each requiring the use of a grinding/cutting machine and a sprayer. A cottage industry manufactures pedestal lamps and wooden shades, each requiring the use of a grinding/cutting machine and a sprayer. It takes 2 hours on grinding/cutting machine and 3 hours on the sprayer to manufacture a pedestal lamp. It takes 1 hour on the grinding/cutting machine and 2 hours on the sprayer to manufacture a shade. On any day, the sprayer is available for at the most 20 hours and the grinding/cutting machine for at the most 12 hours. The profit from the sale of a lamp is Rs 5 and that from a shade is Rs 3. Assuming that the manufacturer can sell all the lamps and shades that he produces, how should he schedule his daily production in order to maximise his profit?
cbse
class12
bookproblem
ch12
sec2
q6
p520
sec-c
medium
math
modelpaper-2012
modelpaper-2014
65-2-3
q23
asked
Nov 16, 2012
by
fingeazy
1
answer
Find all points of discontinuity of \(f\), where $ f(x) = \left\{ \begin{array} {1 1} \large\frac {sinx} {x},\normalsize & \quad\text{ if \(x\) < 0 }\\ x + 1 ,& \quad \text{if $x$ \( \geq 0\)}\\ \end{array} \right. $
cbse
class12
bookproblem
ch5
sec1
q23
p160
sec-b
easy
math
asked
Nov 10, 2012
by
thanvigandhi_1
1
answer
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