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Recent questions tagged q29
Questions
The probability of student E passing an examination is 0.6 and of student F is 0.2. Assuming that the two events 'E passes' and 'F passes' are independent. Find the probability of : (i) both the students passing the examination (ii) Only E passing the examination.
cbse
class12
modelpaper
2012
sec-c
q29
math
asked
Jan 24, 2013
by
thanvigandhi_1
0
answers
Determine which of the following functions \[f:R \rightarrow R\;are\;(a)One-One\quad(b)Onto\]\[(i)f(x)=|x|+x\]\[(ii)f(x)=x-[x]\]
cbse
class12
additionalproblem
kvquestionbank2012
ch1
q29
p4
math
sec-a
asked
Jan 23, 2013
by
meena.p
0
answers
If \( A = \begin{bmatrix} 1 & -1 & 1 \\ 2 & 1 & -3 \\ 1 & 1 & 1 \end{bmatrix} \), find \( A^{-1} \) and hence solve the equation : $ x+2y+z=4, -x+y+z=0 ,x-3y+z = 2$
cbse
class12
modelpaper
2012
sec-c
q29
math
asked
Jan 23, 2013
by
thanvigandhi_1
1
answer
A card from a pack of 52 cards is lost. From the remaining cards of the pack, two cards are drawn and are found to be both hearts. Find the probability of the lost card being a heart.
cbse
class12
modelpaper
2012
sec-c
q29
math
asked
Jan 22, 2013
by
thanvigandhi_1
0
answers
Suppose a girl throws a die. If she gets a 5 or 6, she tosses a coin three times and notes the number of heads. If she gets 1, 2, 3 or 4 she tosses a coin once and notes whether a head or tail is obtained. If she obtained exactly one head, what is the probability that she threw 1, 2, 3 or 4 with the die?
cbse
class12
modelpaper
2012
sec-c
q29
math
asked
Jan 22, 2013
by
thanvigandhi_1
0
answers
In a class having 70% boys, 20% of the boys, and 10% of the girls are players. A student is selected at random from the class and found to be a player. Find the probability that the selected is a girl. Explain the contribution of sports in inculcating human values.
cbse
class12
modelpaper
2012
sec-c
q29
math
asked
Jan 21, 2013
by
thanvigandhi_1
0
answers
A student is given a test with 8 questions of true-false type. If he gets 6 or more questions correct, he is declared pass, given that he guesses the answer to each question, compute the probability that student will pass in the exam. Evaluation is necessary in student learning, Explain.
cbse
class12
modelpaper
2012
sec-c
q29
math
asked
Jan 21, 2013
by
thanvigandhi_1
0
answers
Find the equation of a curve passing through (2,1) if the slope of the tangent to the curve at any point (x,y) is $\Large \frac{x^2+y^2}{2xy}.$
cbse
class12
ch9
sec-b
q29
p194
exemplar
difficult
math
asked
Jan 18, 2013
by
sreemathi.v
1
answer
If $\overrightarrow{a},\overrightarrow{b},\overrightarrow{c}$ are unit vectors such that$\mid\overrightarrow{a}+\overrightarrow{b}+\overrightarrow{c}\mid=0$,then the value of $\overrightarrow{a}.\overrightarrow{b}+\overrightarrow{b}.\overrightarrow{c}+\overrightarrow{c}.\overrightarrow{a}$ is
cbse
class12
ch10
q29
p218
exemplar
easy
sec-a
math
asked
Jan 17, 2013
by
sreemathi.v
1
answer
The area of the region bounded by parabola $y^2=x$ and the straight line $2y=x$ is \begin{array}{1 1}(A)\;\frac{4}{3} sq.units & (B)\;1 sq.units\\(C)\;\frac{2}{3} sq.units & (D)\;\frac{1}{3}sq.units \end{array}
cbse
class12
ch8
q29
p178
objective
exemplar
sec-b
medium
math
asked
Jan 16, 2013
by
sreemathi.v
1
answer
Probability of solving a mathematical problem by A, B and C respectively are $\large\frac{1}{3}, \frac{1}{2}$$ \: and \: \frac{1}{4} $. If they try to solve the problem independently, find the probability that : (i) the problem is solved (ii) exactly one of them solve the problem (iii) exactly two of them solve the problem (iv) what do you think that problem solving attitude from books helpful in real life also?
cbse
class12
modelpaper
2012
sec-c
q29
math
asked
Jan 16, 2013
by
thanvigandhi_1
0
answers
A compay has two plants to manufacture bicycles. Plant I manufacture 70% of the bicycles and plant II manufacture 30%. At plant I, 80% of the bicycles are rated as of standard quality and a plant II , 90% of the bicycles are rated as of standard quality. A bicycle is choosen at random and is found to be of standard quality. What is the probability that it has come from plant II. Which mode of conveyance preferred by you at the most? why?
cbse
class12
modelpaper
2012
sec-c
q29
math
asked
Jan 15, 2013
by
thanvigandhi_1
0
answers
Evaluate the following: $\int\limits_0^1\frac{dx}{e^x+e^{-x}}$
cbse
class12
ch7
q29
p165
short-answer
exemplar
sec-b
medium
math
asked
Jan 14, 2013
by
sreemathi.v
1
answer
Find the shortest distance between the lines : $\large \frac{x-1}{2}=\frac{y-2}{3}=\frac{z-3}{4}$$ \: and \: \large\frac{x-2}{3}=\frac{y-4}{4}=\frac{z-5}{5} $ Also, find equation of the shortest distance.
cbse
class12
modelpaper
2012
sec-c
q29
math
asked
Jan 13, 2013
by
thanvigandhi_1
0
answers
An open box with square base is to be made of a given quantity of card board of area $ c^2$.Show that the maximum volume of the box is $\Large \frac{c^3}{6\sqrt 3}$ cubic units.
cbse
class12
ch6
q29
p137
exemplar
medium
sec-c
math
asked
Jan 11, 2013
by
sreemathi.v
1
answer
A can hit a target 4 times in 5 shots, B 3 times in 4 shots and C 2 times in 3 shots. Calculate the probability that \[\begin{array}{1 1} ((i) \: A,B,C\: all \: may \: hit. \\ (ii)\: Any\: two \: of \: A,B\: and \: C\: will\: hit \ the \: target. \\ (iii)\: None \: of\: them \: will \: hit \: the \: target.\\(iv)None \:of\:hem\:will\:hit\:the\:target. \end{array} \]
cbse
class12
modelpaper
2012
sec-c
q29
math
asked
Jan 10, 2013
by
thanvigandhi_1
0
answers
Two biased dice are thrown together.For the first die $P(6)=\Large \frac{1}{2}$,the other scores being equally likely while for the second die,$P(1)=\Large \frac{2}{5}$ and the other scores are equally likely.Find the probability distribution of 'the number of ones seen'.
cbse
class12
ch13
q29
p274
short-answer
exemplar
sec-a
easy
math
asked
Jan 9, 2013
by
sreemathi.v
1
answer
An urn contains 25 balls of which 10 bear a mark 'X' and the remaining 15 mark 'Y'. A ball is drawn at random from the urn, its mark noted down and it is replaced. If 6 balls are drawn in this way, find the probability that (i) all will bear mark 'X' (ii) not more than two will bear 'Y' mark (iii) at least one ball will bear 'X' mark and Y mark will be equal.
cbse
class12
modelpaper
2012
sec-c
q29
math
asked
Jan 9, 2013
by
thanvigandhi_1
0
answers
An electronic assembly consists of two subsystems say A and B. From the previous testing procedures, the following probabilities are assumed to be known : P(A fails)=0.2, P(B fails alone)=0.15. Evaluate the following probabilities : (i) P(A fails / B has failed) (ii) P(A fails alone).
cbse
class12
modelpaper
2012
sec-c
q29
math
asked
Jan 8, 2013
by
thanvigandhi_1
0
answers
Bag I contains 3 red and 4 black balls and bag II contains 4 red and 5 black. One ball is transferred from Bag I to II, then a ball is drawn from Bag II, the ball so drawn is found to be red in colour. Find the probability that the transferred ball is black.
cbse
class12
modelpaper
2012
sec-c
q29
math
asked
Jan 6, 2013
by
thanvigandhi_1
0
answers
Distance of the point $(\alpha,\beta,\gamma)$ from y-axis is
cbse
class12
ch11
q29
p237
objective
exemplar
medium
sec-a
math
asked
Jan 4, 2013
by
sreemathi.v
1
answer
An insurance company issued 3000 scooters, 4000 cars and 5000 trucks. The probabilities of an accident involving a scooter, a car and a truck are 0.02, 0.03 and 0.04, respectively. One of the insured vehicles meets with an accident. Find the probability that (i) it is a car (ii) it is a truck.
cbse
class12
modelpaper
2012
sec-c
q29
math
asked
Jan 4, 2013
by
thanvigandhi_1
0
answers
A company manufacture two types of novelty souvenirs made of plywood. Souvenirs of type A require 5 minute each for cutting and 10 minutes each for assembling. Souvenirs of type B require 8 minute each for cutting and 8 minutes each for assembling. There are 3 hours 20 minutes available for cutting and 4 hours for assembling. The profit Rs. 5 each for type A and Rs.6 each for type B souvenirs. How many souvenirs of each type should the company manufacture in order to maximise the profits.
cbse
class12
modelpaper
2012
sec-c
q29
math
asked
Jan 3, 2013
by
thanvigandhi_1
0
answers
Reshma wishes to mix two types of food P and Q in such a way that the vitamin contents of the mixture contains atleast 8 units of vitamin A and 11 units of vitamin B. Food P costs Rs. 60/kg and food Q costs Rs. 80/kg. Food P contains 3 units/kg of vitamin A and 5 units of vitamin B, while food Q contains 4 units/kg of vitamin A and 2 units/kg of vitamin B. Determine the minimum cost of the mixture.
cbse
class12
modelpaper
2012
sec-c
q29
math
asked
Jan 2, 2013
by
thanvigandhi_1
1
answer
Suppose, we have four boxes A, B, C and D containing coloured marbles as given below : One of the boxes has been selected at random and a single marble is drawn from it. If the marble is red, what is the probability that it was drawn from box A? box B? and box C?
cbse
class12
modelpaper
sec-c
q29
math
asked
Jan 2, 2013
by
thanvigandhi_1
0
answers
Differentiate the following w.r.t $x$ : $\sin\sqrt x+\cos^2\sqrt x$.
cbse
class12
ch5
q29
p109
short-answer
exemplar
sec-b
easy
math
asked
Dec 31, 2012
by
sreemathi.v
1
answer
A manufacturer can sell x items at a price of Rs. \( \bigg( 5 - \large \frac{x}{100} \bigg) \) each. The cost price of x items is Rs. $ \bigg( \large\frac{x}{5}$$ + 500 \bigg) $. Find the number of items he should sell to earn the maximum profit.
cbse
class12
modelpaper
2009
sec-c
q29
math
asked
Dec 29, 2012
by
thanvigandhi_1
0
answers
Assume that the chance of a patient having a heart attack 40%. It is also assumed that a meditation and yoga course reduces the risk of heart attack by 30% and prescription of a certain drug reduces its chance by 25%. At a time a patient can choose any one of the two option with equal probabilities. It is given that after going through one of the two options the patient selected at random suffers a heart attack. Find the probability that the patient followed a course of meditation and yoga.
cbse
class12
modelpaper
2012
sec-c
q29
math
asked
Dec 29, 2012
by
thanvigandhi_1
0
answers
If A,B and C are angles of a triangle ,then the determinant$\begin{vmatrix}1 & \cos C & \cos B\\\cos C & 1 & \cos A\\\cos B & \cos A & 1\end{vmatrix}$ is equal to
cbse
class12
ch4
sec-a
q29
p81
objective
exemplar
medium
math
asked
Dec 26, 2012
by
sreemathi.v
1
answer
A diet for a sick person must contain at least 4000 units of vitamins, 50 units of minerals and 1400 calories. Two foods X and Y are available at a cost of Rs.4 and Rs.3 per unit respectively. One unit of food X contains 200 units of vitamins, 1 unit of minerals and 40 calories, whereas 1 unit of food Y contains 100 units of vitamins, 2 units of minerals and 40 calories. Find what combination of foods X and Y should be used to have atleast cost, satisfying the requirements. Make it an LPPand solve it graphically.
cbse
class12
modelpaper
2011
sec-c
q29
math
asked
Dec 26, 2012
by
thanvigandhi_1
0
answers
A fair die is rolled up. If 1 turns up, a ball is picked up at random from bag A. If 2 0r 3 turns up, a ball is picked up at random from bag B, otherwise a ball is picked up from bag C. Bag A contains 3 red and 2 white balls, bag B contains 3 red and 5 white balls and bag C contains 4 red and 5 white balls. The die is rolled, a bag is picked up and a ball is drawn from it. If the ball drawn is red, what is the probability that bag B was picked up?
cbse
modelpaper
2012
sec-c
q29
asked
Dec 26, 2012
by
thanvigandhi_1
1
answer
Find the foot of the perpendicular from ( 0, 2, 3 ) on the line \(\large \frac{x+3}{5} = \frac{y-1}{2} = \frac{z+4}{3}\). Also find the length of perpendicular.
cbse
class12
modelpaper
2008
sec-c
q29
math
asked
Dec 24, 2012
by
thanvigandhi_1
0
answers
Show that $A'A$ and $AA'$ are both symmetric matrices for any matrix A
cbse
class12
ch3
q29
p56
short-answer
exemplar
sec-b
easy
math
asked
Dec 22, 2012
by
sreemathi.v
1
answer
If the magnitude of the vectors, \( \overline {a} , \overline{b} , \overline{c} \) are 3, 4, 5 respectively and \( \overline{a} \) and \( \overline{b} + \overline{c}, \overline{b} \) and \( ( \overline{c} + \overline{a} ), \overline{c}\: and\: ( \overline{a} + \overline{b} )\) are mutually perpendicular, then find the magnitude of \(( \overline{a} + \overline{b} + \overline{c} ) \)
cbse
class12
modelpaper
2012
sec-b
q29
math
asked
Dec 22, 2012
by
thanvigandhi_1
0
answers
The value of the expression $2\sec^{-1}2+\sin^{-1}\frac{1}{2}$ is:
cbse
class12
ch2
q29
p38
objective
exemplar
easy
sec-a
math
asked
Dec 21, 2012
by
sreemathi.v
1
answer
If the sum of the lengths of the hypotenuse and a side of a right-angled triangle is given, show that the area of the triangle is maximum when the angle between them is \( \frac{\pi}{3} \)
cbse
class12
modelpaper
2009
sec-c
q29
math
asked
Dec 20, 2012
by
thanvigandhi_1
0
answers
Consider the non-empty set consisting of children in a family and a relation R defined as aRb if a is brother of b.Then R is
cbse
class12
ch1
q29
p13
objective
exemplar
sec-a
math
asked
Dec 19, 2012
by
sreemathi.v
1
answer
An insurance company insured 2000 scooter drivers, 4000 car drivers and 6000 truck drivers. The probability of an accident involving a scooter, a car and a truckare 0.01, 0.03 and 0.15 respectively. One of the insured persons meets with an accident. What is the probability that he is a scooter driver.
cbse
class12
modelpaper
2008-1
sec-c
q29
math
asked
Dec 19, 2012
by
thanvigandhi_1
0
answers
Integrate the function\[\cot x\;log \sin x\]
cbse
class12
bookproblem
ch7
sec2
q29
p305
sec-a
easy
math
asked
Dec 5, 2012
by
sreemathi.v
1
answer
Evaluate the definite integrals\[\int\limits_0^1\frac{dx}{\sqrt{1+x}-\sqrt x}\]
cbse
class12
bookproblem
ch7
misc
q29
p353
sec-b
difficult
math
asked
Dec 3, 2012
by
sreemathi.v
1
answer
The maximum value of $ [ x(x-1) +1]^{\frac{1}{3}}, 0 \leq \: x \leq$ is
cbse
class12
bookproblem
ch6
sec5
q29
p234
sec-a
easy
math
asked
Nov 27, 2012
by
thanvigandhi_1
1
answer
A merchant plans to sell two types of personal computers, a desktop model and a portable model that will cost Rs 25000 and Rs 40000 respectively. He estimates that the total monthly demand of computers will not exceed 250 units. Determine the number of units of each type of computers which the merchant would stock to get maximum profit if he does not want to invest more than Rs 70 lakhs and if his profit on the desktop model is Rs 4500 and on portable model is Rs 5000.
cbse
class12
bookproblem
ch12
sec2
q8
p520
sec-c
easy
modelpaper
2012
q29
math
asked
Nov 16, 2012
by
fingeazy
1
answer
Find the values of $k$ so that the function $f$ is continuous at the indicated point in $ f(x) = \left\{ \begin{array} {1 1} kx+1 ,& \quad\text{ if $ x $ \(\leq 5\)}\\ 3x-5,& \quad \text{if $x$ > 5}\\ \end{array} \right.\qquad at \; x = 5 $
cbse
class12
bookproblem
ch5
sec1
q29
p161
sec-b
easy
math
asked
Nov 11, 2012
by
thanvigandhi_1
1
answer
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