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Recent questions tagged q29
Questions
If $x=y\cos\large\frac{2\pi}{3}$$=z\cos\large\frac{4\pi}{3}$ then $xy+yz+zx$ is equal to
jeemain
math
class11
ch3
trigonometric-function
q29
trignometric-equations
easy
asked
Oct 8, 2013
by
sreemathi.v
1
answer
A barometer tube reads $76\;cm$ of mercury. If the tube in gradually inclined at an angle of $60^{\circ}$ with vertical , keeping the open end immersed , in mercury reservoir, the length of the mercury column will be
jeemain
physics
class11
unit7
properties-of-solids-and-fluids
q29
easy
asked
Oct 4, 2013
by
meena.p
1
answer
Assertion (A) : Azolla is used as a biofertilizer in rice fields. Reason (R) : Azolla contains nitrogen fixing cyanobacteria in its root nodules
jeemain
eamcet
biology
2013
q29
asked
Oct 3, 2013
by
thanvigandhi_1
1
answer
In a triangle $ABC,C=90^{\circ}$.Then $\large\frac{a^2-b^2}{a^2+b^2}=$
jeemain
eamcet
math
2010
q29
asked
Sep 26, 2013
by
meena.p
1
answer
If $a \;>\;0$ and $b^2-4ac=0,$ then the curve $y=ax^2+bx+c$
jeemain
eamcet
math
2011
q29
asked
Sep 20, 2013
by
meena.p
1
answer
If, in $\Delta\; ABC,\large\frac{1}{a+c}+\frac{1}{b+c}=\frac{3}{a+b+c}$ then the angle $C=$
jeemain
eamcet
math
2013
q29
asked
Sep 16, 2013
by
meena.p
1
answer
Given $x$ is positive, the values of $f(x)=-3 \cos \sqrt {3+x+x^2}$ lie in the interval .............. .
jeemain
eamcet
math
1991
fitb
q29
asked
Sep 13, 2013
by
meena.p
0
answers
In the reaction $C_2O_4^{2-}+MnO^{-}_4+H^{+} \to H_2O+Mn^{2+}+CO_2$ the reductant is ............... .
jeemain
eamcet
chemistry
1991
fitb
q29
asked
Sep 12, 2013
by
meena.p
0
answers
A boat is moving with a velocity $3 \hat {i}+4 \hat {j};$ with respect to ground the water in the river is moving with a velocity $-3 \hat {i}- 4 \hat {j}$ w.r.t. ground The relative velocity of boat w.r.t. water is ................ .
jeemain
eamcet
physics
1991
fitb
q29
asked
Sep 11, 2013
by
meena.p
0
answers
The feasible solution for a LPP is shown in fig.12.12.Let $Z=3x-4y$ be the objective function.(Maximum value of $Z$+Minimum value of $Z$) is equal to
cbse
class12
ch12
q29
p255
objective
exemplar
sec-a
easy
math
asked
Aug 21, 2013
by
sreemathi.v
1
answer
A satellite revolving roung the earth with orbital speed $v_0$, If it stops suddenly, the speed with which it will strike the surface of the earth would be (-ve escape velocity of the particle on earth's surface)
jeemain
physics
class11
unit6
gravitation
q29
difficult
asked
Aug 20, 2013
by
meena.p
1
answer
Show that of all the rectangles with a given perimeter,the square has the largest area.
cbse
class12
modelpaper
2012
sec-c
q29
math
asked
Jul 25, 2013
by
sreemathi.v
0
answers
A fire hose has a diameter of 2.5 cm and is required to direct jet of water to height of at least 40 m. The minimum power of pump needed is
jeemain
physics
class11
unit4
work-power-energy
q29
difficult
asked
Jul 18, 2013
by
meena.p
1
answer
A ball of mass 1 kg is at rest in position P by means of two light strings OP and RP. The string RP is now cut and the ball swing to position Q. If $\theta=45 ^{\circ}$ . Find the tension in the string OQ when RP is cut $(g=10 m/s^2)$
jeemain
physics
class11
unit3
laws-of-motion
q29
medium
asked
Jul 8, 2013
by
meena.p
1
answer
A gas bubble from under water explosion oscillates with time period $T$ propotional to $P^xd^yE^z$ where $P$-pressure, $d$-density, $E$-energy, values of $x,y,z$ are
jeemain
physics
class11
ch2
units-and-measurement
q29
medium
dimensional-formulae-and-analysis
asked
Jun 18, 2013
by
meena.p
1
answer
The value of $c$ in Rolle's Theorem for the function $f(x)=\cos\large\frac{x}{2}$ on $[\pi,3]$ is
tnstate
class12
bookproblem
p232
objective
q29
modelpaper
mar-2006
mar-2008
asked
May 17, 2013
by
poojasapani_1
1
answer
If $\overrightarrow{a}\times(\overrightarrow{b}\times \overrightarrow{c})+\overrightarrow{b} \times (\overrightarrow{c} \times \overrightarrow{a})+\overrightarrow{c} \times (\overrightarrow{a}\times \overrightarrow{b})=\overrightarrow{x}\times\overrightarrow{y} $ then
tnstate
class12
bookproblem
p266
objective
q29
asked
May 9, 2013
by
poojasapani_1
1
answer
Find the particular solution of the differential equation $\large\frac{dx}{dy}$$+x\cot y=2y+y^2\cot y,(y\neq 0)$,given that $x=0$ when $y=\large \frac{\pi}{2}$.
cbse
class12
modelpaper
2013
sec-c
q29
65-3
math
asked
Mar 22, 2013
by
sreemathi.v
1
answer
Show that the differential equation $[xsin^2\big(\frac{y}{x}\big)-y]dx+xdy=0.$ is homogeneous.Find the particular solution of this differential equation ,given that $y=\frac{\pi}{4}$ when x=1.
cbse
class12
modelpaper
2013
sec-c
q29
65-2
math
asked
Mar 22, 2013
by
sreemathi.v
1
answer
The management committee of a residential colony decided to award some of its members (say x) for honesty,some (say y) for helping others and some others (say z) for supervising the workers to keep the colony neat and clean . The sum of all the awardees is 12. Three times the sum of awardees for cooperation and supervision added in two times the number of awardees for honesty is 33. If the sum of the number of awardees for honesty and supervision is twice the number of awardees for helping others, using matrix method, find the number of awardees of each category. Apart from these values, namely, honesty, cooperation and supervision, suggest one more value which the management of the colony must include for awards.
cbse
class12
modelpaper
2013
sec-c
q29
65-1
q27
65-2
q25
65-3
math
asked
Mar 20, 2013
by
sreemathi.v
1
answer
Find the equation of the plane passing through the point (-1,3,2) and perpendicular to each of the planes \( x+2y+3z=5\: and \: 3x+3y+z=0\)
cbse
class12
modelpaper
2012
sec-c
q29
math
asked
Feb 15, 2013
by
thanvigandhi_1
0
answers
A man is known to speak truth 3 out of 4 times. He throws a die and report that it is a 6. Find the probability that it is actually 6.
cbse
class12
modelpaper
2012
sec-c
q29
easy
math
asked
Feb 11, 2013
by
thanvigandhi_1
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 truck are 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
2012
sec-c
q29
math
asked
Feb 10, 2013
by
thanvigandhi_1
0
answers
An insurance company insured 3000 scooter drivers, 5000 car drivers and 7000 truck drivers. The probabilities of their meeting with an accident respectively are 0.04, 0.05 and 0.15. One of the insured persons meets with an accident. Find the probability that he is a car driver.
cbse
class12
modelpaper
2012
sec-c
q29
easy
math
asked
Feb 9, 2013
by
thanvigandhi_1
1
answer
A bag contains 4 red balls and 4 black balls. Another bag contains 2 red and 6 black. One of the 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
modelpaper
2012
sec-c
q29
easy
math
asked
Feb 8, 2013
by
thanvigandhi_1
1
answer
Find the area of the region $ {(x,y):x^2+y^2 \leq 1 \leq x + y}.$
cbse
class12
modelpaper
2012
sec-c
q29
difficult
math
asked
Feb 8, 2013
by
thanvigandhi_1
1
answer
20% of the bulbs produced by a machine are defective. Find the probability distribution of the number of defective bulbs in a sample of 4 bulbs chosen at random.
cbse
class12
modelpaper
2012
sec-c
q29
difficult
math
asked
Feb 7, 2013
by
thanvigandhi_1
1
answer
A catering agency has two kitchen to prepare food at two places A and B. From these places 'Mid-day Meal' is to be supplied to three different schools situated at P, Q , R. The monthly requirement of the school are respectively 40,40 and 70 food packets. A packet contains lunch for 1000 students. The capacity of kitchen A and B are 60 and 70 packets per month respectively. The transportation cost per packets from the kitchens to school is given below : How many packets from each kitchen should be transported to school so that the cost of transportation is minimum? Also find the minimum cost.
cbse
class12
modelpaper
2012
sec-c
q29
math
asked
Feb 6, 2013
by
thanvigandhi_1
1
answer
Bag I contains 3 red and 4 black balls and bag II contains 4 red and 5 black balls. One ball is transferred from bag I to bag II and then a ball is drawn from bag II at random. 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
easy
math
asked
Feb 6, 2013
by
thanvigandhi_1
1
answer
A factory has two machines A and B. Past record shows that machineA produced 60% of the items of output and machine B produced 40% of the items. Further, 2% of the items produced by machine A and 1% produced by machine B were defective. All the items are put into one stockpile and then one item is chosen at random from this and is found to be defective. What is the probability that it was produced by machine B?
cbse
class12
modelpaper
2012
sec-c
q29
math
asked
Feb 5, 2013
by
thanvigandhi_1
0
answers
Obtain the probability distribution of number of sixes in two tosses of a dice. Also find mean/ variance.
cbse
class12
additionalproblem
kvquestionbank2012
ch13
q29
p42
math
asked
Feb 5, 2013
by
meena.p
1
answer
Find the equation of the plane passing through the line of intersection of the planes $\overrightarrow r. (\hat i + \hat j + \hat k) = 1 \: and \: \overrightarrow r. (2\hat i + 3\hat j - \hat k) +4 = 0$ and parallel to x - axis.
cbse
class12
modelpaper
2012
sec-c
q29
medium
math
asked
Feb 5, 2013
by
thanvigandhi_1
1
answer
Suppose 5% of men and 0.25% of women have grey hair. A grey haired person is selected at random. What is the probability of this person being male? Assume that there are equal number of males and females.
cbse
class12
modelpaper
2012
sec-c
q29
math
asked
Feb 4, 2013
by
thanvigandhi_1
0
answers
Every gram of wheat provides 0.1 g of proteins and 0.25 g of carbohydrates. The corresponding values for rice are 0.05 g and .5 g respectively. Wheat costs Rs.4 per kg and rice Rs.6 per kg. The minimum daily requirements of proteins and carbohydrates for an average child are 5 g and 200 g respectively. In what qualities should wheat and rice be mixed in the daily diet to provide minimum daily requirements of protiens and carbohydrates at minimum cost. Form a L.P.P and solve it graphically.
cbse
class12
modelpaper
2012
sec-c
q29
math
asked
Feb 4, 2013
by
thanvigandhi_1
0
answers
In an examination, 10 questions of true-false type are asked. A student toses a fair coin to determine his answer to each question. If the coin falls heads, he answers 'true' and if it falls tails, he answers 'false'. Show that the probability that he answers at most 7 questions correctly is \( \frac{121}{128} \).
cbse
class12
modelpaper
2012
sec-c
q29
math
asked
Feb 3, 2013
by
thanvigandhi_1
0
answers
Two bags A and B contain 4 white and 3 black balls and 2 white and 2 black balls respectively. From bag A, two balls are drawn at random and then transferred to bag B, A ball is then drawn from bag B and is found to be a black ball. What is the probability that the transferred balls were 1 white and 1 black?
cbse
class12
modelpaper
2012
sec-c
q29
math
asked
Feb 3, 2013
by
thanvigandhi_1
0
answers
Evaluate: \[ \int \frac {1}{1+\sin x} dx\]
cbse
class12
additionalproblem
kvquestionbank2012
ch7
q29
p26
math
asked
Feb 2, 2013
by
meena.p
0
answers
Probability of solving a mathematical problem by A, B, and C respectively are \( \frac{1}{3}, \frac{1}{2} \: and \: \frac{1}{4}\). If they try to solve the problem indepently. 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.
cbse
class12
modelpaper
2012
sec-c
q29
math
asked
Feb 2, 2013
by
thanvigandhi_1
0
answers
A company has two plants to manufacture bicycles. Plant I manufactures 70% of the bicycles and plant II manufactures 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?
cbse
class12
modelpaper
2012
sec-c
q29
math
asked
Feb 2, 2013
by
thanvigandhi_1
1
answer
An insurance company insured 2000 scooters and 3000 motor cycles. The probability of an accident involving a scooter is 0.01 and that of a motor cycle is 0.02. An insured vehicle met with an accident. Find the probability that the accidental vehicle was a motor cycle.
cbse
class12
modelpaper
2012
sec-c
q29
math
asked
Jan 31, 2013
by
thanvigandhi_1
0
answers
Yogesh Dhir wants to invest atmost Rs.12000 in saving certificates and national saving bonds. According to rules, he has to invest atleast Rs.2000 in saving certificates and atleast Rs.4000 in national saving bonds. If the rate of interest on saving certificate is 8% per annum and the rate of interest on national saving bonds is 10% per annum, how much money should he invest to earn maximum yearly income? Find also his maximum yearly income.
cbse
class12
modelpaper
2012
sec-c
q29
math
asked
Jan 30, 2013
by
thanvigandhi_1
0
answers
Let X denote the number of hours you study during a randomly selected school day. The probability that X can take the values X has the following form, where k is some unknown constant. \[ p(X=x) = \left\{ \begin{array}{l l}0.1, & \quad if{ x = 0}\\ kx, & \quad if{ x = 1 \: or\: 2} \\ k(5-x), & \quad if{ x = 3 \: or\: 5} \\ 0, & \quad \: otherwise \end{array}. \right. \] (i) Find the value of K (ii) What is the probability that you study atleast two hours? Exactly two hours? Atmost two hours?
cbse
class12
modelpaper
2012
sec-c
q29
math
asked
Jan 30, 2013
by
thanvigandhi_1
1
answer
If $ P_1\;and\; P_2 $are the lengths of the perpendiculars from origin on the tangent and normal to the curve $ x^{2/3}+y^{2/3}=a^{2/3} $respectively Prove that $ 4P_1^2+P_2^2=a^2$
cbse
class12
additionalproblem
kvquestionbank2012
ch6
q29
p18
math
asked
Jan 29, 2013
by
meena.p
0
answers
There are 40 workers in a factory who are participating in strike for increase in wages. Out of them 5 workers are sincere to management and believe that management know each thing and do the needful. Management selects 2 workers at random out of them. Write the probability distribution for the selected worker who are sincere. Also find the mean of the distribution.
cbse
class12
modelpaper
2012
sec-c
q29
math
asked
Jan 28, 2013
by
thanvigandhi_1
0
answers
Assume that the chances of a patient having a heart attack is 40%. It is assumed that a meditation and yoga course reduce the risk of heart attack by 30% and prescription of certain drug reduces its chance by 25%. At a time, a patient can choose any one of the two options 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
Jan 27, 2013
by
thanvigandhi_1
1
answer
A card from a pack of 52 playing cards is lost. Two cards are drawn from the remaining cards and found to be both spade. (i) Find the probability of lost card being a spade card.(ii)While playing in ground you found a purse containing rupees and some other documents,what will you do?
cbse
class12
modelpaper
2012
sec-c
q29
math
asked
Jan 25, 2013
by
thanvigandhi_1
1
answer
Differentiate w.r.t. x, $ y=\tan^{-1}\bigg[\Large\frac{a\cos x-b\sin x}{b\cos x+a \sin x}\bigg]$
cbse
class12
additionalproblem
kvquestionbank2012
ch5
q29
p13
medium
math
sec-a
asked
Jan 25, 2013
by
meena.p
1
answer
A diet is to contain at least 80 units of minerals. Two foods \( F_1 \: and F_2\)are available. Food \( F_1 \) costs Rs.4 per unit food and \( F_2 \) costs Rs.6 per unit. A unit of food \( F_1 \) contains atleast 3 units of vitamin A and 4 units of minerals. A unit of food \( F_2 \)contains atleast 6 units of vitamin A and 3 units of minerals. Formulate this as a linear programming problem. Find the minimum cost for diet that consists of mixture of these two foods, and also meets the minimal nutritional requirements.
cbse
class12
modelpaper
2012
sec-c
q29
math
asked
Jan 25, 2013
by
thanvigandhi_1
0
answers
If $A=\begin{bmatrix} 2 & -3 \\ 3 & 4 \end{bmatrix} $satisfies the equation : $ x^2+6x+17=0\;find\;A^{-1}$
cbse
class12
additionalproblem
kvquestionbank2012
ch3
q29
p9
math
sec-b
asked
Jan 24, 2013
by
meena.p
0
answers
There are 20% chances for a worker of an industry to suffer from an occupational disease, 50 workers were selected at random and examined for the ocupational disease. Find the probabilty that (i) None is suffering from the disease. (ii) Only one is suffering from the disease.
cbse
class12
modelpaper
2012
sec-c
q29
math
asked
Jan 24, 2013
by
thanvigandhi_1
0
answers
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