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Recent questions tagged modelpaper
Questions
An amount of $Rs. 5000$ is put into three investments at the rate of interest of $6\%,7\%$ and $8\%$ per annum respectively . The total annual income is $Rs. 385$ If the combined income from the first two investments is $Rs. 70$ more than the income from the third , find the amount of each investment by matrix method.
cbse
class12
math
modelpaper
mock-test-series-2015
sec-c
asked
Feb 10, 2015
by
meena.p
1
answer
If a machine is correctly setup, it produces $90\%$ acceptable items. If it is incorrectly setup, it produces only $40 \% $ acceptable items . past experience shows that $80\%$ of the setups are correctly done . If after a certain setup, the machine produces 2 acceptable items, find the probability that machine is correctly setup.
cbse
class12
math
modelpaper
mock-test-series-2015
sec-c
asked
Feb 10, 2015
by
meena.p
0
answers
Let the point $(2,3,4)$ lie on the top of Tajmahal. Find the perpendicular distance of the point $(2,3,4)$ from the line $\large\frac{(4x)}{2}=\frac{y}{6} =\frac{(1-z)}{3}$.Also find the coordinates of the perpendicular. Do you think that heritage is important is important for the country and its people ?
cbse
class12
math
modelpaper
mock-test-series-2015
sec-c
asked
Feb 10, 2015
by
meena.p
0
answers
If the length of the three sides of a trapezium other than the base are equal to 10 cm , then find the area of the trapezium when it is maximum .
cbse
class12
math
modelpaper
mock-test-series-2015
sec-c
asked
Feb 10, 2015
by
meena.p
1
answer
Find the area bounded by the curve $y= 2x-x^2$ and the straight line $y=-x$
cbse
class12
math
modelpaper
mock-test-series-2015
sec-c
asked
Feb 10, 2015
by
meena.p
1
answer
Compute the area bounded by the lines $x+2y =2 ; y-x =1$ and $2x+y=7$
cbse
class12
math
modelpaper
mock-test-series-2015
sec-c
asked
Feb 10, 2015
by
meena.p
1
answer
A small manufacturer has employed 5 skilled men 10 semi - skilled men and makes an article in two qualities deluxe model and an ordinary model. The making of a deluxe model requires 2 hrs work bt skilled man and 2 hrs work by a semi skilled man. The ordinary model requires 1 hr by a skilled man and 3 hrs by a semi skilled man. By union rules no mam may work more than 8 hrs per day. The manufactures clear profit on deluxe model is Rs.15 and an orsinary model is Rs. 10. How many of each type should be made in order to maximize his total daily profit.
cbse
class12
math
modelpaper
mock-test-series-2015
sec-c
asked
Feb 10, 2015
by
meena.p
1
answer
Prove that $\large\frac{dy}{dx}=\frac{[\sin ^2(a+y)]}{\sin a}$
cbse
class12
math
modelpaper
mock-test-series-2015
sec-b
asked
Feb 10, 2015
by
meena.p
0
answers
Find the distance between the planes, $2x-y+2z=-3$ and $-2y+4x+4z+5=0$
cbse
class12
math
modelpaper
mock-test-series-2015
sec-b
asked
Feb 10, 2015
by
meena.p
0
answers
Find the cartesian equation of the line passing through the points , $A(2,-1,3)$ and $B(4,2,1)$
cbse
class12
math
modelpaper
mock-test-series-2015
sec-b
asked
Feb 10, 2015
by
meena.p
0
answers
Find the cartesian equation of the line passing through the points , $A(2,-1,3)$ and $B(4,2,1)$
cbse
class12
math
modelpaper
mock-test-series-2015
sec-b
asked
Feb 9, 2015
by
meena.p
0
answers
Find a unit vector perpendicular to each of the vectors , $\overrightarrow{a}+\overrightarrow{b}$ and $\overrightarrow{a}- \overrightarrow{b}$ where $\overrightarrow{a}= 3 \hat i +2 \hat j+2 \hat k$ and $\overrightarrow{b}= \hat i +2 \hat j- 2\hat k$
cbse
class12
math
modelpaper
mock-test-series-2015
sec-b
asked
Feb 9, 2015
by
meena.p
0
answers
Find the intervals in which $f(x) = \log (1+x) \large\frac{-x}{(1+x)}$
cbse
class12
math
modelpaper
mock-test-series-2015
sec-b
asked
Feb 9, 2015
by
meena.p
1
answer
Find the points on the curve $4x^2+9y^2=14$, where the tangents are perpendicular to the line $2y +x =0$
cbse
class12
math
modelpaper
mock-test-series-2015
sec-b
asked
Feb 9, 2015
by
meena.p
1
answer
Use differentials to find the approximate value of $\sqrt {0.037}$
cbse
class12
math
modelpaper
mock-test-series-2015
sec-b
asked
Feb 9, 2015
by
meena.p
1
answer
If $x^{my^n}=(x+y)^{m+n}$, prove that $\large\frac{dy}{dx}=\frac{y}{x}$
cbse
class12
math
modelpaper
mock-test-series-2015
sec-b
asked
Feb 9, 2015
by
meena.p
1
answer
If $x^y =e^{(x-y)}$, prove that $\large\frac{dy}{dx}= \large\frac{\log x}{(1+\log x)^2}$
cbse
class12
math
modelpaper
mock-test-series-2015
sec-b
asked
Feb 9, 2015
by
meena.p
0
answers
Using the properties of determinants prove the following : $\begin{vmatrix}3a & -a+b & -a+c \\ a-b & 3b & c-b \\ a-c & b-c & 3c \end{vmatrix}$$=3( a+b+c)(ab+bc+ca)$
cbse
class12
math
modelpaper
mock-test-series-2015
sec-b
asked
Feb 9, 2015
by
meena.p
0
answers
Find the differential equation of the family of curves given by $y^2-2ky +x^2=k^2$
cbse
class12
math
modelpaper
mock-test-series-2015
sec-b
asked
Feb 9, 2015
by
meena.p
1
answer
Evaluate $\int \limits ^{\pi/4} _{-\pi/4} |\sin x |dx$
cbse
class12
math
modelpaper
mock-test-series-2015
sec-b
asked
Feb 9, 2015
by
meena.p
0
answers
Solve : $\int \large\frac{2 \sin x + 3 \cos x}{3 \sin x +4 \cos x }$$dx$
cbse
class12
math
modelpaper
mock-test-series-2015
sec-b
asked
Feb 9, 2015
by
meena.p
1
answer
Solve :$\int \large\frac{\sin \theta \cos \theta}{\cos ^2 \theta - \cos \theta -2}$$d \theta$
cbse
class12
math
modelpaper
mock-test-series-2015
sec-b
asked
Feb 9, 2015
by
meena.p
0
answers
A water tank has a shape of an inverted right circular cone with its axis vertical and vertex lower most. Its semi vertical angle is $\tan^{-1} (0.5)$.Water is poured into it at a constant rate of 5 cubic meter per hour. Find the rate at which the level of the water is rising at the instant when the depth of water in the tank is $4\; m$
cbse
class12
math
modelpaper
mock-test-series-2015
sec-b
asked
Feb 9, 2015
by
meena.p
2
answers
Verify Rolle's theorem for the function $f(x)= \sin x + \cos x , x \in [0,\pi/2]$
cbse
class12
math
modelpaper
mock-test-series-2015
sec-b
asked
Feb 9, 2015
by
meena.p
0
answers
A die is tossed thrice. getting an even number is considered as success . What is the variance of the binomial distribution ?
cbse
class12
math
modelpaper
mock-test-series-2015
sec-a
asked
Feb 9, 2015
by
meena.p
1
answer
Find the angle between the vectors $ \overrightarrow {a} = \hat i - \hat j$ and $\overrightarrow {b} = \hat j +\hat k$
cbse
class12
math
modelpaper
mock-test-series-2015
sec-a
asked
Feb 9, 2015
by
meena.p
1
answer
What is the integrating factor of $\large\frac{dy}{dx}$4+y \sec x =\tan x $ ?
cbse
class12
math
modelpaper
mock-test-series-2015
sec-a
asked
Feb 9, 2015
by
meena.p
1
answer
If the binary operation * on the set of integers Z, is defined by $a * b = a+3b^2$ then find the value of $8 * 3$
cbse
class12
math
modelpaper
mock-test-series-2015
sec-a
asked
Feb 9, 2015
by
meena.p
1
answer
Solve $2 \tan ^{-1} (\cos x)= \tan ^{-1} (2 cosec \;x)$
cbse
class12
math
modelpaper
mock-test-series-2015
sec-a
asked
Feb 9, 2015
by
meena.p
1
answer
Prove that $(A^{-1})'=(A')^{-1}$, where A is an invertible matrix .
cbse
class12
math
modelpaper
mock-test-series-2015
sec-a
asked
Feb 9, 2015
by
meena.p
0
answers
State Guass’s theorem in electrostatics. Use it to obtain field strength ata distance x from an infinitely large flat charged sheet having surface charge density $\sigma$
cbse
class12
physics
modelpaper
mock-test-series-2015
asked
Jan 30, 2015
by
meena.p
0
answers
A) With the help of a labeled circuit diagram explain the rectification action of a full wave rectifier b)What are energy bands? How are these formed? Distinguish between a conductor, insulator, and a semiconductor on the basis of the energy band diagram.
cbse
class12
physics
modelpaper
mock-test-series-2015
asked
Jan 30, 2015
by
meena.p
0
answers
Sonia was watching a movie, in which he saw the automatic opening of a garage door. She was fascinated about this and asked her brother to explain about this. Even though her brother did not know much about this he decided to learn about this and explain it to Sonia. He came to know about the photoelectric effect in the automatic opening of the door. He explained about this in detail to Sonia. She thanked him for this. a) What are values of Sonia’s brother in enlightening her about the subject? b) How is photoelectric effect involved in the automatic opening of the garage door? c) Why alkali metals are most suitable for photoelectric emission?
cbse
class12
physics
modelpaper
mock-test-series-2015
asked
Jan 30, 2015
by
meena.p
0
answers
Sona was often surprised by the reproduction of sound in cinemas. She asked her uncle about this. Even though her uncle didn’t know much about this, he decided to give Sona a clear picture about the reproduction of sound in cinemas. He went to the operator of the projector of the cinema hall and learnt about this. Then he took Sona to the projector room and the operator explained about this very clearly. She thanked her uncle. A) What according to you are the values displayed by Sona’s uncle? B) What is the role of Photoelectric effect in the reproduction of sound in cinema film? C) State two different situation in which free electrons may be emitted from a surface.
cbse
class12
physics
modelpaper
mock-test-series-2015
asked
Jan 30, 2015
by
meena.p
0
answers
a) Why is Diamagnetism independent of temperature? b) State and prove tangent law in magnetism c) What happens if an iron bar is melted? Will it regain its magnetism?
cbse
class12
physics
modelpaper
mock-test-series-2015
asked
Jan 30, 2015
by
meena.p
0
answers
What are coherent sources of light? Deduce an expression for the intensity at any point on the screen in Young’s double slit experiment. What is a Polaroid? How is plane polarized light obtained with its help? How will you use it to distinguish between unpolarised light and plane polarized light.
cbse
class12
physics
modelpaper
mock-test-series-2015
asked
Jan 30, 2015
by
meena.p
0
answers
A) Calculate the equivalent resistance between the points M and N. B) Deduce Ohms’s law using the concept of drift velocity and relaxation time.
cbse
class12
physics
modelpaper
mock-test-series-2015
asked
Jan 30, 2015
by
meena.p
0
answers
A pure inductor is connected across an a.c. source. Show mathematically that the current in it lags behind the applied e.m.f by a phase angle of $\large\frac{\pi}{2}$ What is its inductive reactance? Draw a graph showing variation of inductive reactance with the frequency of the a.c. source.
cbse
class12
physics
modelpaper
mock-test-series-2015
asked
Jan 30, 2015
by
meena.p
1
answer
Explain the term FAX. Distinguish between FAX and E-Mail.
cbse
class12
physics
modelpaper
mock-test-series-2015
asked
Jan 30, 2015
by
meena.p
0
answers
The ground state energy of hydrogen atom is $-13.6\;eV$ 1.What are the potential and kinetic energy of an electron in the 3rd excited state? 2.If the electron jumps to the ground state from the third excited state, calculate the frequency of the photon emitted.
cbse
class12
physics
modelpaper
mock-test-series-2015
asked
Jan 30, 2015
by
meena.p
1
answer
a) Define ‘disintegration constant’ and ‘mean life’ of a radioactive substance. Give the unit for each. b)Obtain the amount of $^{60}Co_{27}$ necessary to provide a radioactive source of $8.0\;mCi$ strength. The half life of $^{60}Co_{27}$ is $5.3$ years.
cbse
class12
physics
modelpaper
mock-test-series-2015
asked
Jan 30, 2015
by
meena.p
0
answers
The potential difference across the collector of a transistor, used in common emitter mode is $1.5\;V,$ with the collector resistance of $3\;k \Omega.$ Find 1. The emitter and 2. The base current, if the d.c. gain of the transistor is $50$
cbse
class12
physics
modelpaper
mock-test-series-2015
asked
Jan 30, 2015
by
meena.p
1
answer
Draw a ray diagram of an astronomical telescope in the near point adjustment position, Write the expression for its magnifying power .
cbse
class12
physics
modelpaper
mock-test-series-2015
asked
Jan 30, 2015
by
meena.p
0
answers
Describe the principle construction and uses of a choke coil. A coil is represented as $z = (8+6j)\; ohm$. Calculate the inpedence of the coil.
cbse
class12
physics
modelpaper
mock-test-series-2015
asked
Jan 30, 2015
by
meena.p
0
answers
A storage battery of e.m.f of $12.0\; V$ and internal resistance $0.5 \omega$ is to be charged by a $120\;V$ d.c. supply of negligible resistance. What resistance is required in the circuit for the charging current to be $3\; A?$ What is the terminal voltage of the battery during the charging?
cbse
class12
physics
modelpaper
mock-test-series-2015
asked
Jan 30, 2015
by
meena.p
0
answers
A) Two point charges of values $q$ and $2q$ are kept at a distance d apart from each other in air. A third charge $Q$ has to be kept along the same line in such a way that the net force acting on q and $2q$ is zero. Calculate the position of charge $Q$ in terms of q and d. b)A capacitor of capacitance C is charged fully by connecting it to a battery of e.m.f ‘e’. It is then disconnected from the battery. If the separation from the plates of the capacitor is $b$ now doubled, what will be a) charge stored in the capacitor? b) potential difference across it c) field strength between the plates d) energy stored by the capacitor
cbse
class12
physics
modelpaper
mock-test-series-2015
asked
Jan 30, 2015
by
meena.p
0
answers
a) A bubble inside a glass slab appears to be at a depth of $3\;cm$ from one face and $2\;cm$ from opposite face. If $\mu= 1.5,$ what is the actual thickness of the slab? b) An astronomical telescope consists of two thin lenses set $36\;cm$ apart and has a magnifying power of $8$. Calculate the focal lengths of the lenses.
cbse
class12
physics
modelpaper
mock-test-series-2015
asked
Jan 30, 2015
by
meena.p
0
answers
(A) Draw a labeled diagram to show the formation of the image of a distant object through a reflecting telescope (B) A converging lens has a focal length of $20\; cm$ in air. It is made of refractive index $1.6$. If it is immersed in a liquid of refractive index $1.3,$ what will be its new focal length?
cbse
class12
physics
modelpaper
mock-test-series-2015
asked
Jan 30, 2015
by
meena.p
0
answers
A metal has a threshold wavelength of $6000 ^{\circ} A$. Calculate its 1) threshold frequency and 2) work function of the metal in eV.
cbse
class12
physics
modelpaper
mock-test-series-2015
asked
Jan 29, 2015
by
meena.p
1
answer
Prove that an ideal capacitor , in an a.c. circuit does not dissipate power.
cbse
class12
physics
modelpaper
mock-test-series-2015
asked
Jan 29, 2015
by
meena.p
0
answers
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