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Maths-

General

Easy

Question

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)=

(-2, 1)
(-2, -1)
(-1, $\sqrt{3}$ )
(-2, $\sqrt{3}$ )

The correct answer is: (-2, -1)

Related Questions to study

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

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

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

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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

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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

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X-rays are not used for radar purpose because

X-rays are not used for radar purpose because

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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

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

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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

If the function $f open parentheses x close parentheses equals open curly brackets table row cell blank end cell row cell fraction numerator square root of 2 plus c o s blank x end root minus 1 over denominator left parenthesis pi minus x right parenthesis to the power of 2 end exponent end fraction blank comma x not equal to pi end cell row cell k blank comma x equals pi end cell end table close$ is continuous at x= $pi comma blank$ then k equals

If the function $f open parentheses x close parentheses equals open curly brackets table row cell blank end cell row cell fraction numerator square root of 2 plus c o s blank x end root minus 1 over denominator left parenthesis pi minus x right parenthesis to the power of 2 end exponent end fraction blank comma x not equal to pi end cell row cell k blank comma x equals pi end cell end table close$ is continuous at x= $pi comma blank$ then k equals

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The function $f open parentheses x close parentheses equals open vertical bar 2 s g n blank 2 x close vertical bar plus 2$ has

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In the, following compounds, the order of basicity is :
I)
II)
III)
IV)

In the, following compounds, the order of basicity is :
I)
II)
III)
IV)

Chemistry-General

Arrange the following carbocations in decreasing order of stability:
I) $C H subscript 3 end subscript C H subscript 2 end subscript stack C H subscript 2 end subscript with plus on top$
II)
III) $C H subscript 3 end subscript minus stack C with plus on top H minus C H subscript 3 end subscript$
IV)

Arrange the following carbocations in decreasing order of stability:
I) $C H subscript 3 end subscript C H subscript 2 end subscript stack C H subscript 2 end subscript with plus on top$
II)
III) $C H subscript 3 end subscript minus stack C with plus on top H minus C H subscript 3 end subscript$
IV)

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