Maths-
General
Easy
Question
If f(x) is a polynomial of degree five with leading coefficient one such that f(1)=12,f(2)=22,f(3)=32,f(4)=42,f(5)=52 then
- f(6)= 156
- f(0)
0
- f(0)
0
The correct answer is: f(6)= 156
Related Questions to study
maths-
If f(x) = ax2+ bx + c such that f(p) + f(q) = 0 where a
0 ; p , q
R then number of real roots of equation f(x) = 0in interval [p, q] is
f(p)=–f(q)
eitherf(p)f(q)<0 or f(p) =0=f(q)
exactlyonerootin(p,q) orrootsarepandq
If f(x) = ax2+ bx + c such that f(p) + f(q) = 0 where a
0 ; p , q
R then number of real roots of equation f(x) = 0in interval [p, q] is
maths-General
f(p)=–f(q)
eitherf(p)f(q)<0 or f(p) =0=f(q)
exactlyonerootin(p,q) orrootsarepandq
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If f(x) is a differentiable function satisfying f(x+ y)= f(x)f(y)
x, y
R and f'(0)=2 then f(x)=
If f(x) is a differentiable function satisfying f(x+ y)= f(x)f(y)
x, y
R and f'(0)=2 then f(x)=
maths-General
physics-
Maximum kinetic energy (Ek ) of a photoelectron varies with the frequency ( v ) of the incident radiation as

Maximum kinetic energy (Ek ) of a photoelectron varies with the frequency ( v ) of the incident radiation as

physics-General
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The degree of the differential equation satisfying
is
The degree of the differential equation satisfying
is
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If
then the solution of the equation is :
If
then the solution of the equation is :
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physics-
A simple magnifying lens is used in such a way that an image is formed at 25 cm away from the eye. In order to have 10 times magnification, the focal length of the lens should be
A simple magnifying lens is used in such a way that an image is formed at 25 cm away from the eye. In order to have 10 times magnification, the focal length of the lens should be
physics-General
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The differential equation of all circles which pass through the origin and whose centres lie on y-axis is
The differential equation of all circles which pass through the origin and whose centres lie on y-axis is
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maths-
Let p, q
{1,2,3,4}.Then number of equation of the form px2+qx+1=0,having real roots ,is
q2–4p
0
q=2
p=1
q=3
p=1,2
q=4
p=1,2,3,4
Hence 7 values of (p, q)7equationsarepossible.
q=2
q=3
q=4
Hence 7 values of (p, q)7equationsarepossible.
Let p, q
{1,2,3,4}.Then number of equation of the form px2+qx+1=0,having real roots ,is
maths-General
q2–4p
0
q=2
p=1
q=3
p=1,2
q=4
p=1,2,3,4
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q=2
q=3
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Hence 7 values of (p, q)7equationsarepossible.
maths-
Number of values of 'p' for which the equation
possess more than two roots ,is:
For (p2– 3p+2)x2–(p2–5p+4)x+p–p2=0tobe anidentity
p2–3p+2 =0
p = 1, 2...(i)
p2 – 5p + 4 = 0
p = 1, 4...(ii)
p – p2 = 0
p = 0, 1...(iii)
For (i), (ii) & (iii) to hold simultaneously p = 1.
p2–3p+2 =0
p2 – 5p + 4 = 0
p – p2 = 0
For (i), (ii) & (iii) to hold simultaneously p = 1.
Number of values of 'p' for which the equation
possess more than two roots ,is:
maths-General
For (p2– 3p+2)x2–(p2–5p+4)x+p–p2=0tobe anidentity
p2–3p+2 =0
p = 1, 2...(i)
p2 – 5p + 4 = 0
p = 1, 4...(ii)
p – p2 = 0
p = 0, 1...(iii)
For (i), (ii) & (iii) to hold simultaneously p = 1.
p2–3p+2 =0
p2 – 5p + 4 = 0
p – p2 = 0
For (i), (ii) & (iii) to hold simultaneously p = 1.
maths-
Statement-1- The number
is not divisible by 11.Because
Statement-2- If p is a prime, the exponent of p in n! is
+
+
+……Where [x] denotes the greatest integer
x.
Statement-1- The number
is not divisible by 11.Because
Statement-2- If p is a prime, the exponent of p in n! is
+
+
+……Where [x] denotes the greatest integer
x.
maths-General
physics-
According to Newton’s law of cooling, the rate of cooling is proportional to
, where
is the temperature differences between the body and the surroundings and
is equal to
According to Newton’s law of cooling the rate of loss of heat of a body is directly proportional to the difference in temperature of the body, 
(i)
Given,
(ii)
Comparing Eqs. (i) and (ii), we get
=1
Given,
Comparing Eqs. (i) and (ii), we get
According to Newton’s law of cooling, the rate of cooling is proportional to
, where
is the temperature differences between the body and the surroundings and
is equal to
physics-General
According to Newton’s law of cooling the rate of loss of heat of a body is directly proportional to the difference in temperature of the body, 
(i)
Given,
(ii)
Comparing Eqs. (i) and (ii), we get
=1
Given,
Comparing Eqs. (i) and (ii), we get
Maths-
satisfies the relation
then value of A and B respectively are:
satisfies the relation
then value of A and B respectively are:
Maths-General
physics-
Radius of a conductor increases uniformly from left end to right end as shown in fig
Material of the conductor is isotropic and its curved surface is thermally insulated from surrounding. Its ends are maintained at temperatures
and
: If, in steady state, heat flow rate is equal to
, then which of the following graphs is correct
Since the curved surface of the conductor is thermally insulated, therefore, in steady state, the rate of flow of heat at every section will be the same. Hence the curve between
and
will be straight line parallel to
-axis
Radius of a conductor increases uniformly from left end to right end as shown in fig
Material of the conductor is isotropic and its curved surface is thermally insulated from surrounding. Its ends are maintained at temperatures
and
: If, in steady state, heat flow rate is equal to
, then which of the following graphs is correct
physics-General
Since the curved surface of the conductor is thermally insulated, therefore, in steady state, the rate of flow of heat at every section will be the same. Hence the curve between
and
will be straight line parallel to
-axis
physics-
Water and turpentine oil (specific heat less than that of water) are both heated to same temperature. Equal amounts of these placed in identical calorimeters are then left in air

As we know, Rate of cooling 



It is clear that, at a particular time after start cooling, temperature of oil will be less than that of water
So graph
represents the cooling curve of oil and
represents the cooling curve of water

It is clear that, at a particular time after start cooling, temperature of oil will be less than that of water
So graph
Water and turpentine oil (specific heat less than that of water) are both heated to same temperature. Equal amounts of these placed in identical calorimeters are then left in air

physics-General
As we know, Rate of cooling 



It is clear that, at a particular time after start cooling, temperature of oil will be less than that of water
So graph
represents the cooling curve of oil and
represents the cooling curve of water

It is clear that, at a particular time after start cooling, temperature of oil will be less than that of water
So graph
physics-
Variation of radiant energy emitted by sun, filament of tungsten lamp and welding are as a function of its wavelength is shown in figure. Which of the following option is the correct match?

From the graph
Temperature of sun will be maximum
Variation of radiant energy emitted by sun, filament of tungsten lamp and welding are as a function of its wavelength is shown in figure. Which of the following option is the correct match?

physics-General
From the graph
Temperature of sun will be maximum