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Maths-

General

Easy

Question

If $R rightwards arrow R$ $d i f i n e d blank b y blank f open parentheses x close parentheses equals x minus open square brackets x close square brackets left parenthesis w h e r e$ [x] is the greatest integer not exceeding (x) then the set of discontinuity of f is...

the empty set
R
Z
N

The correct answer is: Z

Related Questions to study

$f open parentheses x close parentheses equals open curly brackets table row cell open square brackets x close square brackets blank i f minus 3 less than x less or equal than negative 1 end cell row cell open vertical bar x close vertical bar blank i f minus 1 less than x less than 1 end cell row cell open vertical bar left square bracket negative x right square bracket close vertical bar blank i f blank 1 less or equal than x less than 3 end cell end table close$ then {x/f(x) $greater or equal than 0$ }=

$f open parentheses x close parentheses equals open curly brackets table row cell open square brackets x close square brackets blank i f minus 3 less than x less or equal than negative 1 end cell row cell open vertical bar x close vertical bar blank i f minus 1 less than x less than 1 end cell row cell open vertical bar left square bracket negative x right square bracket close vertical bar blank i f blank 1 less or equal than x less than 3 end cell end table close$ then {x/f(x) $greater or equal than 0$ }=

The order of reactivity of following alcohols, towards conc. HCl is:
i)
ii)
iii)
iv)

The order of reactivity of following alcohols, towards conc. HCl is:
i)
ii)
iii)
iv)

Chemistry-General

In the following compounds piperidine
I) pyridine
II) morpho line
III) and pyrrole
IV) the order of basicity is:

In the following compounds piperidine
I) pyridine
II) morpho line
III) and pyrrole
IV) the order of basicity is:

Chemistry-General

parallel

If $blank f blank open square brackets x close square brackets$ denotes the greatestinterger not exceeding x and if the function f defined by $blank f open parentheses x close parentheses equals open curly brackets table row cell fraction numerator a plus 2 blank c o s blank x over denominator x to the power of 2 end exponent end fraction blank left parenthesis x less than 0 right parenthesis end cell row cell b blank t a n fraction numerator pi over denominator left square bracket x plus 4 right square bracket end fraction text end text text ( end text text x end text greater or equal than 0 text ) end text text end text end cell end table close text is continuous at end text x equals 0 text then end text$ the order pair (a,b)=

If $blank f blank open square brackets x close square brackets$ denotes the greatestinterger not exceeding x and if the function f defined by $blank f open parentheses x close parentheses equals open curly brackets table row cell fraction numerator a plus 2 blank c o s blank x over denominator x to the power of 2 end exponent end fraction blank left parenthesis x less than 0 right parenthesis end cell row cell b blank t a n fraction numerator pi over denominator left square bracket x plus 4 right square bracket end fraction text end text text ( end text text x end text greater or equal than 0 text ) end text text end text end cell end table close text is continuous at end text x equals 0 text then end text$ the order pair (a,b)=

$L e t blank a comma b blank element of R comma blank open parentheses a not equal to 0 close parentheses. blank I f blank t h e blank f u n c t i o n blank f blank d e f i n e d blank a s blank f open parentheses x close parentheses equals blank open curly brackets table row cell fraction numerator 2 x to the power of 2 end exponent over denominator a end fraction end cell cell 0 less or equal than x less than 1 end cell row a cell 1 less or equal than x less than square root of 2 end cell row cell fraction numerator 2 b to the power of 2 end exponent minus 4 b over denominator x to the power of 3 end exponent end fraction end cell cell square root of 2 less or equal than x less than 8 end cell end table close blank$ is continuous in the interval [0, $straight infinity$ ) then an ordered pair (a, b) is

$L e t blank a comma b blank element of R comma blank open parentheses a not equal to 0 close parentheses. blank I f blank t h e blank f u n c t i o n blank f blank d e f i n e d blank a s blank f open parentheses x close parentheses equals blank open curly brackets table row cell fraction numerator 2 x to the power of 2 end exponent over denominator a end fraction end cell cell 0 less or equal than x less than 1 end cell row a cell 1 less or equal than x less than square root of 2 end cell row cell fraction numerator 2 b to the power of 2 end exponent minus 4 b over denominator x to the power of 3 end exponent end fraction end cell cell square root of 2 less or equal than x less than 8 end cell end table close blank$ is continuous in the interval [0, $straight infinity$ ) then an ordered pair (a, b) is

Mosley measured the frequency (f) of the characteristic X-rays from many metals of different atomic number (Z) and represented his results by a relation known as Mosley's law. This law is (a, b are constants)

Mosley measured the frequency (f) of the characteristic X-rays from many metals of different atomic number (Z) and represented his results by a relation known as Mosley's law. This law is (a, b are constants)

Physics-General

parallel

X-rays which can penetrate through longer distances in substance are called

X-rays which can penetrate through longer distances in substance are called

Physics-General

X-rays are known to be electromagnetic radiations. Therefore the X-ray photon has

X-rays are known to be electromagnetic radiations. Therefore the X-ray photon has

Physics-General

When the accelerating voltage applied on the electrons increased beyond a critical value

When the accelerating voltage applied on the electrons increased beyond a critical value

Physics-General

parallel

X-rays are not used for radar purpose because

X-rays are not used for radar purpose because

Physics-General

X-rays were discovered by

X-rays were discovered by

Physics-General

In radio theraphy, X-rays are used to

In radio theraphy, X-rays are used to

Physics-General

parallel

The light rays having photons of energy 1.8 eV are falling on a metal surface having a work function 1.2 eV. What is the stopping potential to be applied to stop the emitting electrons

The light rays having photons of energy 1.8 eV are falling on a metal surface having a work function 1.2 eV. What is the stopping potential to be applied to stop the emitting electrons

Physics-General

The velocity of photon is proportional to (where n is frequency)

The velocity of photon is proportional to (where n is frequency)

Physics-General

Consider the two following statements A and B and identify the correct choice given in the answers;
A) In photovlotaic cells the photoelectric current produced is not proportional to the, intensity of incident light.
B) In gas filled photoemissive cells, the velocity of photoelectrons depends on the wavelength of the incident radiation.

Consider the two following statements A and B and identify the correct choice given in the answers;
A) In photovlotaic cells the photoelectric current produced is not proportional to the, intensity of incident light.
B) In gas filled photoemissive cells, the velocity of photoelectrons depends on the wavelength of the incident radiation.

Physics-General

parallel

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