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Recent questions tagged q28
Questions
If $\Delta =a^2-(b-c)^2, $ is the area of the triangle ABC, then $\tan A=$
jeemain
eamcet
math
2010
q28
asked
Sep 26, 2013
by
meena.p
1
answer
$ \sum \limits ^{\infty}_{n=1} \large\frac{2n}{(2n+1)\ !} =$
jeemain
eamcet
math
2011
q28
asked
Sep 20, 2013
by
meena.p
1
answer
In any triangle $ABC, r_1r_2+r_2r_3+r_3r_1=$
jeemain
eamcet
math
2013
q28
asked
Sep 14, 2013
by
meena.p
1
answer
If $u=\log \tan \bigg(\large\frac{\pi}{4}+\frac{\theta}{2}\bigg), $ then $cos\; u$=............... .
jeemain
eamcet
math
1991
fitb
q28
asked
Sep 13, 2013
by
meena.p
0
answers
Chloroform reacts with $HNO_3$ ............... .
jeemain
eamcet
chemistry
1991
fitb
q28
asked
Sep 12, 2013
by
meena.p
0
answers
The ratio of magnetic moments of two short magnets which give deflection in $\tan B$ position when placed at $12\;cm$ and $18\;cm$ from center of a deflection magnetometer is ................... .
jeemain
eamcet
physics
1991
fitb
q28
asked
Sep 11, 2013
by
meena.p
1
answer
The feasible solution for a LPP is shown in fig.12.12.Let $Z=3x-4y$ be the objective function.Maximum of $Z$ occurs at
cbse
class12
ch12
q28
p255
objective
exemplar
sec-a
easy
math
asked
Aug 20, 2013
by
sreemathi.v
1
answer
Two bodies of masses $m_1$ and $m_2$ are initially at rest placed infinite distance apart. They are then allowed to move towards each other under their mutual gravitational attraction. Their relative velocity when they are 'r' distance apart is
jeemain
physics
class11
unit6
gravitation
q28
difficult
asked
Aug 20, 2013
by
meena.p
1
answer
Two blocks are resting on a floor as shown. There is no friction between floor and lower block (M=3 kg) but frictional coefficient between both blocks is 0.2. Both blocks move together with initial speed V towards the spring ,compresses it and due to force exerted by spring moves in reverse direction of initial motion. What is maximum value of V in (m/s), so that during motion there is no slipping between the blocks.
jeemain
physics
class11
unit4
work-power-energy
q28
difficult
asked
Jul 18, 2013
by
meena.p
1
answer
A body A of mass 1kg is resting on a table and connected to body B and C as shown. The surface are smooth and string and spring are massless. The string is inextensible. Find the extension in the spring if force constant of spring $=k=50 N/m$ take $(g=10 m/s^2)$
jeemain
physics
class11
unit3
laws-of-motion
q28
difficult
asked
Jul 8, 2013
by
meena.p
1
answer
Dimensional formula for electrical resistivity
jeemain
physics
class11
unit1
units-and-measurement
q28
medium
asked
Jun 18, 2013
by
meena.p
1
answer
The $'c'$ of Lagranges Mean Value Theorem for the function $f(x)=x^{2}+2x-1;a=0,b=1$ is
tnstate
class12
bookproblem
p232
objective
q28
modelpaper
mar-2009
asked
May 17, 2013
by
poojasapani_1
1
answer
If $\overrightarrow{p} ,\overrightarrow{q}$ and $\overrightarrow{p}+\overrightarrow{q}$ are vectors of magnitude $\lambda$ than the magnitude of $|\overrightarrow{p}-\overrightarrow{q}|$ is
tnstate
class12
bookproblem
p266
objective
q28
modelpaper
oct-2008
oct-2009
asked
May 9, 2013
by
poojasapani_1
1
answer
Find the area of the region $\{(x,4):y^2\leq 4x,4x^2+4y^2\leq9\}$ using method of integration.
cbse
class12
modelpaper
2013
sec-c
q28
65-3
math
asked
Mar 22, 2013
by
sreemathi.v
1
answer
Find the area of the region $\{(x,y):y^2\leq 6ax$ and $x^2+y^2\leq 16a^2\}$ using method of integration.
cbse
class12
modelpaper
2013
sec-c
q28
65-2
math
asked
Mar 22, 2013
by
sreemathi.v
1
answer
A manufacturer considers that man and women workers are equally efficient and so he pays them at the same rate.He has 30 and 17 units of workers(male and female) and capital respectively,which he uses to produce two types of goods A and B.To produce 1 unit of A,2 workers and 3 units of capital are required while 3 workers and 1 unit of capital is required to produce 1 unit of B.If A and B are priced at Rs100 and 120 per unit respectively,how should he use his resources to maximize the total revenue?Form the above as an LPP and solve graphically.Do you agree with this view of the manufacturer that men and women workers are equally efficient and so should be paid at the same rate?
cbse
class12
modelpaper
2013
sec-c
q28
65-1
q25
65-2
q24
65-3
math
asked
Mar 20, 2013
by
sreemathi.v
0
answers
If $A=\begin{bmatrix}1 & 2\\4 & 1\\5 & 0\end{bmatrix},B=\begin{bmatrix}1 & 2\\6 & 4\\7 & 3\end{bmatrix},then\;verify\;that:(ii)\quad(A-B)'=A'-B'$.
cbse
class12
ch3
q28
q28-2
p56
short-answer
exemplar
sec-b
easy
math
asked
Mar 6, 2013
by
sreemathi.v
1
answer
Using the method of integration, find the area of the region bounded by the lines\( 2x+y=4, 3x-2y=6 \:and \: x-3y+5=0\)
cbse
class12
modelpaper
2012
sec-c
q28
math
asked
Feb 15, 2013
by
thanvigandhi_1
0
answers
An aerolpane can carry a maximum of 200 passengers. A profit of Rs. 400 is made on each first class ticket and a profit of Rs. 300 is made on each second class ticket. The airline reserves atleast 20 seats for the first class. However, at least 4 times as many passengers prefer to travel by second class, than by the first class. Determine how many tickets of each type must be sold, inorder to maximise the profit for the airline. What is the maximum profit? Make an L.P.P. and solve it graphically.
cbse
class12
modelpaper
2012
sec-c
q28
difficult
math
asked
Feb 11, 2013
by
thanvigandhi_1
1
answer
A dealer wishes to purchase a number of fans and sewing machines. He has only Rs. 5760 to invest and has space for at most 20 items. A fan costs Rs. 360 and a sewing machine cost Rs. 240. He can sell a fan at a profit of Rs. 18. Assuming that he can sell all the items that he can buy, how should he invest his money in order to maximise the profit? Translate the problem as an LPP and solve it graphically.
cbse
class12
modelpaper
2012
sec-c
q28
difficult
math
asked
Feb 10, 2013
by
thanvigandhi_1
1
answer
Find the co-ordinates of the foot of perpendicular drawn from the point $A(1,8,4)$ to the line joining the points $B(0,-1,3)$ and $C(2,-3,-1)$.
cbse
class12
modelpaper
2012
sec-c
q28
medium
math
asked
Feb 9, 2013
by
thanvigandhi_1
1
answer
Two tailors A and B earn Rs. 150 and Rs. 200 per day respectively. A can stitch 6 shirts and 4 pants per day while B can stitch 10 shirts and 4 per day. How many days shall each work, if it is desired to produce at least 60 shirts and 32 pants at a minimum labour cost? Make it as a LPP and solve the problem graphically.
cbse
class12
modelpaper
2012
sec-c
q28
math
asked
Feb 8, 2013
by
thanvigandhi_1
0
answers
Find the equation of the plane passing through the point (1,1,-1) and perpendicular to the planes $(x+2y+3x-7=0 \: and \: 2x-3y+4z=0.)$
cbse
class12
modelpaper
2012
sec-c
q28
medium
math
asked
Feb 8, 2013
by
thanvigandhi_1
1
answer
A manufacturing company makes two types of television sets, one is black and white and other is coloured. The company has resources to make at most 300 sets a weak. It takes Rs. 1800 to make a black and white set and Rs. 2700 to make a coloured set. The company can spend not more than Rs. 648000 a weak to make television sets. It makes a profit of Rs. 510 per black and white set and Rs. 675 per coloured set, how many sets of each type should be produced so that the company has maximum profit? Formulate this as LPP given that the objective is to maximise the profit.
cbse
class12
modelpaper
2012
sec-c
q28
difficult
math
asked
Feb 7, 2013
by
thanvigandhi_1
1
answer
Two dice are thrown simultaneously. Let X denotes the number of sixes. Find the probability distribution of X. Also find the mean, variance and standard deviation of X using probability distribution table.
cbse
class12
modelpaper
2012
sec-c
q28
math
asked
Feb 6, 2013
by
thanvigandhi_1
0
answers
Find the vector equation of the plane, passing through the points A(2,2,-1), B(3,4,2) and C(7,0,6). Also, find the cartesian equation of the plane.
cbse
class12
modelpaper
2012
sec-c
q28
medium
math
asked
Feb 6, 2013
by
thanvigandhi_1
1
answer
A company produces 10% defective items. Find the probability of getting 2 defective items in a sample of 8 items is
cbse
class12
additionalproblem
kvquestionbank2012
ch13
q28
p42
math
asked
Feb 5, 2013
by
meena.p
0
answers
Using matrices, solve the following system of equations : $ x+2y+z=7, x+3z=11 \: and \: 2x-3y=1 $
cbse
class12
modelpaper
2012
sec-c
q28
math
asked
Feb 5, 2013
by
thanvigandhi_1
1
answer
Given three identical boxes I, II and III each containing two coins. In box I, both coins are gold coins, in box II, both are silver coins and in box III, there is one gold and one silver coin. A person chooses a box at random and takes out a coin. If the coin is of gold, what is the probability that the other coin in the box is also of gold?
cbse
class12
modelpaper
2012
sec-c
q28
difficult
math
asked
Feb 4, 2013
by
thanvigandhi_1
1
answer
A factory makes tennis rackets and cricket bats. A tennis racket takes 1.5 hours of machine time and 3 hours of craftman's time in its making while a cricket bat takes 3 hours of machine time and 1 hour of craftman's time. In a day, the factory has the availability of not more than 42 hours of machine time and 24 hours of craftsman's time. If the profit on a racket and on a bat is Rs.20 and Rs.10 respectively, find the number of tennis rackets and crickets bats that the factory must manufacture to earn the maximum profit. Make it as an L.P.P. and solve it graphically.
cbse
class12
modelpaper
2012
sec-c
q28
math
asked
Feb 4, 2013
by
thanvigandhi_1
0
answers
Two bags A and B contain 4 white and 3 black balls and 2 white,2 black balls respectively. From bag A, two balls are transferred to bag B. Find the probability of drawing (a) 2 white balls from Bag B? (b) 2 black balls from bag B? (c) 1 white and 1 black ball from bag B?
cbse
class12
modelpaper
2012
sec-c
q28
math
asked
Feb 4, 2013
by
thanvigandhi_1
1
answer
A company sells two different products A and B. The products are produced in a common production process which has total capacity of 500 man hours. It takes 5 hours to produce a unit of A and 3 hours to produce a unit of B. The demand in the market shows that the maximum number of units of A that can sold is 70 and that of B is 125. Profit on each unit of A is Rs. 20 and on B is Rs.15. How many units of A and B should be produced to maximise the profit? Form an L.P.P and solve it graphically.
cbse
class12
modelpaper
2012
sec-c
q28
math
asked
Feb 3, 2013
by
thanvigandhi_1
1
answer
Evaluate: \[\int \frac{(a^x+b^x)^2}{a^xb^x}dx\]
cbse
class12
additionalproblem
kvquestionbank2012
ch7
q28
p26
math
asked
Feb 2, 2013
by
meena.p
0
answers
A retired person has 70000 to invest and two types of bonds are available in the market for investment. First type of bond yields an annual income of 8% on the amount invested and the second type of bond yields 10% per annum. As per norms, he has to invest minimum of 10000 in the first type and not more than 30000 in the second type. How should he plan his investment, so as to get maximum return after one year of investment. Make it an L.P.P. and solve the above problem.
cbse
class12
modelpaper
2012
sec-c
q28
math
asked
Feb 2, 2013
by
thanvigandhi_1
1
answer
Show that line whose vector equation is \( \overrightarrow r = 2\hat i - 2\hat j + 3\hat k + \lambda (\hat i - \hat j + 4\hat k)\) is parallel to the plane \( \overrightarrow r .(\hat i + 5\hat j + \hat k)=5\) and find the distance between them.
cbse
class12
modelpaper
2012
sec-c
q28
math
asked
Jan 31, 2013
by
thanvigandhi_1
0
answers
A manufacturer can sell petrol operated x items at a price of Rs.\( \bigg( 5-\large\frac{x}{100} \bigg) \) each. The cost price of petrol operated x items is Rs.$ \bigg( \large\frac{x}{5}+$$500 \bigg).$ Find the number of items he should sell to earn maximum profit.
cbse
class12
modelpaper
2012
sec-c
q28
math
asked
Jan 30, 2013
by
thanvigandhi_1
0
answers
Kellogg is a new cereal fromed of a mixture of bran and rice that contains at least 88 g of protein and at least 36 milligram of iron. Knowing that bran contains 80 g of protein and 40 milligram of iron per kilogram, and that rice contains 100 g of protein and 30 milligrams of iron per kilogram, find the minimum cost of producing this new cereal if bran costs Rs.5 per kilogram and rice costs Rs. 4 per kilogram.
cbse
class12
modelpaper
2012
sec-c
q28
math
asked
Jan 30, 2013
by
thanvigandhi_1
0
answers
Find the equation of normal to the curve $ y=(1+x)^y+\sin^{-1}(\sin^2x)$ at x=0
cbse
class12
additionalproblem
kvquestionbank2012
ch6
q28
p18
math
asked
Jan 29, 2013
by
meena.p
0
answers
A company sells two different products A and B. The two products are produced in a common production process, which has a total capacity of 500 man-hours. It takes 5 hours to produce a unit of A and 3 hours to produce a unit of B. The market has been surveyed and company officials feel that the maximum number of units of A that can be sold is 70 and that of B is 125. If the profit is Rs.20 per unit for the product A and Rs.15 per unit for the product B, how many units for each product should be sold to maximize profit.
cbse
class12
modelpaper
2012
sec-c
q28
math
asked
Jan 28, 2013
by
thanvigandhi_1
0
answers
If a young man rides his motorcycle at 25 km/hour, he had to spend Rs.2 per km on petrol. If he rides at a faster speed of 40 km/hour, the petrol cost increases at Rs.5 per km. He has Rs.100 to spend on petrol and wishes to find what is the maximum distance he can travel within one hour. Express this as L.P.P. and solve it graphically.
cbse
class12
modelpaper
2012
sec-c
q28
math
asked
Jan 27, 2013
by
thanvigandhi_1
1
answer
A company makes two kinds of belts, belt A is of pure leather and belt B is macro based. The respective profits are Rs.40 and Rs.30 per belt. Each belt of type A requires twice as much time as a belt of type B and if all the belts were of type B a company could make 1000 belts per day. The supply of leather and macro is sufficient for only 8000 belts per day (both A and B combined). Belt A requires a fancy buckle and only 4000 buckles are available. There are only 7000 buckles per day available for belt B. What should be the daily production of each belt to have maximum profit?
cbse
class12
modelpaper
2012
sec-c
q28
math
asked
Jan 26, 2013
by
thanvigandhi_1
1
answer
If $ y=\frac{2}{\Large\sqrt {a^2-b^2}}\tan^{-1}\bigg[\sqrt{\frac{a-b}{a+b}}\tan \frac{x}{2} \bigg],$ prove that $ \Large\frac{dy}{dx}=\frac{1}{a+b \cos x}, \normalsize a>b>0 $
cbse
class12
additionalproblem
kvquestionbank2012
ch5
q28
p13
difficult
math
sec-b
asked
Jan 25, 2013
by
meena.p
1
answer
Akshay throw a die again and again until three fours are obtained. Find the probability of obtaining the third four in the sixth throw of die by Akshay.
cbse
class12
modelpaper
2012
sec-c
q28
math
asked
Jan 25, 2013
by
thanvigandhi_1
0
answers
If $\begin{vmatrix} x & b & c \\ a & y & c \\ a & b & z \end{vmatrix}=0$ then find the value of $ \large\frac{x}{x-a}+\frac{y}{y-b}+\frac{z}{z-c}$
cbse
class12
additionalproblem
kvquestionbank2012
ch3
q28
p8
math
sec-a
asked
Jan 24, 2013
by
meena.p
0
answers
A farmer has a supply of chemical fertilizer of type A which contains 10% nitrogen and 6% phosphoric acid, and type B which contains 5% nitrogen and 10% phosphoric acid. After testing the soil conditions of the field, it was found that ateast 14 kg of nitrogen and 14 kg of phosphoric acid is required for producing a good crop. The fertilizer of type A costs Rs. 2 per kg and the type B costs Rs.3 per kg. How many kg of each type of the fertilizer should be used to meet the requirement at the minimum problem graphically.
cbse
class12
modelpaper
2012
sec-c
q28
math
asked
Jan 24, 2013
by
thanvigandhi_1
0
answers
(i) A stone is dropped into a quite lake and waves move in circles at the speed of 5 cm/s. At the instant when the radius of circular wave is 8cm, how fast is the enclosed area increasing?
cbse
class12
modelpaper
2012
sec-c
q28
math
asked
Jan 23, 2013
by
thanvigandhi_1
0
answers
Let X = {1,2,3,4,5,6,7,8,9}. Let $ R_1\;andR_2$ be relations in x given by \[R_1=\{(x,y):x-y\;is\;divisible\;by\;3\}\;and\]\[R_2=\{(x,y)!\{x,y\} \varepsilon \{1,4,7\}or\{x,y\} \varepsilon \{2,5,8\}\]\[or \{x,y\} \varepsilon \{3,6,9\}\}.\; Show\; that \;R_1=R_2.\]
cbse
class12
additionalproblem
kvquestionbank2012
ch1
q28
p4
math
sec-b
asked
Jan 23, 2013
by
meena.p
0
answers
A furniture firm manufactures chairs and tables, each requiring the use of three machines A, B and C. Production of each chair requires 2 hours on machine A, 1 hour on machine B and 1 hour on machine C. Each table requires 1 hour each on machine A and B and 3 hours on machine C. The profit obtained by selling one chair is Rs. 30 while by selling one table the profit is Rs. 60. The total time available per week on machine A is 70 hours, on machine B is 40 hours and on machine C is 90 hours. How many chairs and tables should be made per week so as to maximise profit? Formulate the problem as LPP and solve it graphically.
cbse
class12
modelpaper
2012
sec-c
q28
math
asked
Jan 22, 2013
by
thanvigandhi_1
1
answer
A fruit grower can use two types of fertilzer in his garden, brand P and brand Q. The amounts ( in kg ) of nitrogen , phosphoric, potash and chlorine in a bag of each brand are given in the table. Tests indicate that the garden needs atleast 240 kg of phosphoric acid, at least 270 kg of potash and at most 310 kg of chlorine. If the grower wants to minimise the amount of nitrogen added to the garden, how many bags of each brand should he use? What is the minimum amount of nitrogen added in the garden? What steps do you advice to a farmer to avoid overuse of fertilizers.
cbse
class12
modelpaper
2012
sec-c
q28
math
asked
Jan 21, 2013
by
thanvigandhi_1
0
answers
Find the general solution of $\large \frac{dy}{dx}$$+3y=\sin 2x$
cbse
class12
ch9
sec-b
q28
p194
exemplar
difficult
math
asked
Jan 18, 2013
by
sreemathi.v
1
answer
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