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Maths-

General

Easy

Question

$f colon R rightwards arrow R$ Statement 1 : $f left parenthesis x right parenthesis equals 12 x to the power of 5 end exponent minus 15 x to the power of 4 end exponent plus 20 x to the power of 3 end exponent minus 30 x to the power of 2 end exponent plus 60 x plus 1$ is monotonic and surjective on R because, Statement 2 : A continuous function defined on R, if strictly monotonic has its range R

Statement-1 is true, statement-2 is true and statement-2 is correct explanation for statement-1
Statement-1 is true, statement-2 is true and statement-2 NOT is correct explanation for statement-1
Statement-1 is true, statement-2 is false
Statement-1 is false, statement-2 is true

The correct answer is: Statement-1 is true, statement-2 is false

$f left parenthesis x right parenthesis equals t a n to the power of negative 1 end exponent invisible function application left parenthesis x right parenthesis$ is defined on R and its strictly increasing but do not have its range R

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Graph of $y equals vertical line 4 x minus 5 vertical line minus$ is

Graph of $y equals vertical line 4 x minus 5 vertical line minus$ is

If $f left parenthesis x right parenthesis$ and $g left parenthesis x right parenthesis$ are non periodic function then $h left parenthesis x right parenthesis equals f left parenthesis g left parenthesis x right parenthesis right parenthesis$ is

If $f left parenthesis x right parenthesis$ and $g left parenthesis x right parenthesis$ are non periodic function then $h left parenthesis x right parenthesis equals f left parenthesis g left parenthesis x right parenthesis right parenthesis$ is

If $a less or equal than fraction numerator s e c to the power of 2 end exponent invisible function application theta minus t a n invisible function application theta over denominator s e c to the power of 2 end exponent invisible function application theta plus t a n invisible function application theta end fraction less or equal than b$ then a+b=

If $a less or equal than fraction numerator s e c to the power of 2 end exponent invisible function application theta minus t a n invisible function application theta over denominator s e c to the power of 2 end exponent invisible function application theta plus t a n invisible function application theta end fraction less or equal than b$ then a+b=

parallel

The set of values of a for which the equation $blank x to the power of 3 end exponent minus 3 x plus a equals 0$ has three distinct real roots is

The set of values of a for which the equation $blank x to the power of 3 end exponent minus 3 x plus a equals 0$ has three distinct real roots is

Let $text end text alpha text end text$ and $text end text beta text end text$ be the roots of the equation $text end text x to the power of 2 end exponent minus p x plus r equals 0 text end text$ and $text end text fraction numerator alpha over denominator 2 end fraction text , end text blank 2 beta text end text$ be the roots of the equation $x to the power of 2 end exponent minus q x plus r equals 0 text . end text$ The value of $text end text text end text r text end text$ is

Let $text end text alpha text end text$ and $text end text beta text end text$ be the roots of the equation $text end text x to the power of 2 end exponent minus p x plus r equals 0 text end text$ and $text end text fraction numerator alpha over denominator 2 end fraction text , end text blank 2 beta text end text$ be the roots of the equation $x to the power of 2 end exponent minus q x plus r equals 0 text . end text$ The value of $text end text text end text r text end text$ is

The molecules and are

The molecules and are

Chemistry-General

parallel

The correct IUPAC name of

The correct IUPAC name of

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In which of the compound given below contains more than one kind of hybridization (sp² , sp³ ) for carbon

In which of the compound given below contains more than one kind of hybridization (sp² , sp³ ) for carbon

Chemistry-General

Oxygen as a super oxide is in the form of

Oxygen as a super oxide is in the form of

Chemistry-General

parallel

Toluene has

Toluene has

Chemistry-General

Which of the following statement is not correct?

Which of the following statement is not correct?

Chemistry-General

Which of the following pairs contains mixed oxides ?

Which of the following pairs contains mixed oxides ?

Chemistry-General

parallel

S-I : O₃whenever used as oxidising agent essentially liberates O₂
S-II : $3 S n C l subscript 2 end subscript plus 6 H c l plus O subscript 3 end subscript rightwards arrow 3 S n C l subscript 4 end subscript plus 3 H subscript 2 end subscript O$ is possible reaction showing oxidising nature of O_3</sub

S-I : O₃whenever used as oxidising agent essentially liberates O₂
S-II : $3 S n C l subscript 2 end subscript plus 6 H c l plus O subscript 3 end subscript rightwards arrow 3 S n C l subscript 4 end subscript plus 3 H subscript 2 end subscript O$ is possible reaction showing oxidising nature of O_3</sub

Chemistry-General

Number of volumes of O₂formed when (C)volumes of Ozone decomposes

Number of volumes of O₂formed when (C)volumes of Ozone decomposes

Chemistry-General

Which of the following acids doesnot exists in the free form?

Which of the following acids doesnot exists in the free form?

Chemistry-General

parallel

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