Maths-
General
Easy
Question
If functions 
satisfying 
integer, are formed, then number of such functions can be
The correct answer is:
We can send 1, 2,..., n – 1 any where and the value of f(n) will then uniquely determined
Related Questions to study
maths-
Let 
.Then f(f(x)) = x if α =
Let .Then f(f(x)) = x if α =
maths-General
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A = (1,2,3,4,5), B = (1,2,3,4) and 
is a function. Then
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The range of the function 
when [.] is the greatest integer function, is
The range of the function when [.] is the greatest integer function, is
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The graphs in figure show that a quantity y varies with displacement d in a system undergoing simple harmonic motion.
Which graphs best represents the relationship obtained when y is
The total energy of the system
The graphs in figure show that a quantity y varies with displacement d in a system undergoing simple harmonic motion.
Which graphs best represents the relationship obtained when y is
The total energy of the system
physics-General
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A body performs simple harmonic oscillations along the straight line ABCDE with C as the midpoint of AE. Its kinetic energies at B and D are each one fourth of its maximum value. If AE = 2R, the distance between B and D is
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physics-General
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Two particles are in SHM in a straight line about same equilibrium position. Amplitude A and time period T of both the particles are equal. At time t=0, one particle is at displacement y1= +A and the other at y2= –A/2, and they are approaching towards each other. After what time they cross each other?
Two particles are in SHM in a straight line about same equilibrium position. Amplitude A and time period T of both the particles are equal. At time t=0, one particle is at displacement y1= +A and the other at y2= –A/2, and they are approaching towards each other. After what time they cross each other?
physics-General
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A semicircle conducting ring of radius R is placed in the xy plane, as shown in the figure. A uniform magnetic field is set up along the x–axis. No emf, will be induced in the ring. If
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physics-General
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Two wedges, each of mass m, are placed next to each other on a flat floor. A cube of mass M is balanced on the wedges as shown. Assume no friction between the cube and the wedges, but a coefficient of static friction 
between the wedges and the floor. What is the largest M that can be balanced as shown without motion of the wedges?
Two wedges, each of mass m, are placed next to each other on a flat floor. A cube of mass M is balanced on the wedges as shown. Assume no friction between the cube and the wedges, but a coefficient of static friction between the wedges and the floor. What is the largest M that can be balanced as shown without motion of the wedges?
physics-General
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A string is wrapped round a log of wood and it is pulled with a force F as shown in the figure.Choose the correct statement(s).
I Tension T in the string decreases with increase in 
, II Tension 
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I Tension T in the string decreases with increase in , II Tension
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The temperature at the bottom of a pond of depth L is 4oC. The temperature of the air, just above the layer of ice frozen at the pond’s surface is –2oC for the past many days. The thermal conductivity of ice is three times that of water. The thickness of the frozen layer of ice must be
The temperature at the bottom of a pond of depth L is 4oC. The temperature of the air, just above the layer of ice frozen at the pond’s surface is –2oC for the past many days. The thermal conductivity of ice is three times that of water. The thickness of the frozen layer of ice must be
physics-General
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The load versus elongation graph for four wires of the same material is shown in the figure. The thinnest wire is represented by the line
The load versus elongation graph for four wires of the same material is shown in the figure. The thinnest wire is represented by the line
physics-General
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In the figure shown if the object ‘O’ moves towards the plane mirror, then the image I (which is formed after successive reflections from M1 & M2 respectively) will move:
In the figure shown if the object ‘O’ moves towards the plane mirror, then the image I (which is formed after successive reflections from M1 & M2 respectively) will move:
physics-General
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A uniform ring is rotating about vertical axis with angular velocity 
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A uniform ring is rotating about vertical axis with angular velocity initially. A point insect (S) having the same mass as that of the ring starts walking from the lowest point P1 and finally reaches the point P2 (as shown in figure). The final angular velocity of the ring will be equal to
physics-General
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The P-V graph of two different samples having masses m1 and m2 of a gas for isothermal processes are shown in figure at temperatures T1 and T2 respectively
The P-V graph of two different samples having masses m1 and m2 of a gas for isothermal processes are shown in figure at temperatures T1 and T2 respectively
physics-General
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In 
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In -decay, the Q-value of the process is E. Then
physics-General
