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Maths-

General

Easy

Question

The area bounded by the curve x= a $open parentheses fraction numerator text 1- end text text t end text to the power of 2 end exponent over denominator text 1+ end text text t end text to the power of 2 end exponent end fraction close parentheses$ , y = $blank fraction numerator text 2at end text over denominator text 1+ end text text t end text to the power of 2 end exponent end fraction blank$ in sq. units is

$\frac{π a^{2}}{2}$
$π a^{2}$
$\frac{π a^{2}}{4}$
$\frac{3 π a^{2}}{2}$

The correct answer is: $pi a to the power of 2 end exponent$

$x equals a open parentheses fraction numerator 1 minus t to the power of 2 end exponent over denominator 1 plus t to the power of 2 end exponent end fraction close parentheses comma blank y equals fraction numerator 2 a t over denominator 1 plus t to the power of 2 end exponent end fraction$
$x to the power of 2 end exponent plus y to the power of 2 end exponent equals fraction numerator a to the power of 2 end exponent open parentheses 1 minus t to the power of 2 end exponent close parentheses to the power of 2 end exponent plus 4 a to the power of 2 end exponent t to the power of 2 end exponent over denominator open parentheses 1 plus t to the power of 2 end exponent close parentheses to the power of 2 end exponent end fraction blank$
$x to the power of 2 end exponent plus y to the power of 2 end exponent equals a to the power of 2 end exponent open parentheses 1 close parentheses blank$
$R. A equals pi a to the power of 2 end exponent$

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The structure of product (B) is:

The structure of product (B) is:

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Statement 1: reacts faster with $H subscript 2 end subscript O$ than
Statement 2:The carbocation of is more stable than the carbocation of

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Statement 1:The presence of nitro group facilitates nucleophilic substitution reaction in aryl halide
Statement 2:The intermediate carbanion is stabiliseddue to the presence of the nitro grou

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The area bounded by the parabola $blank y to the power of 2 end exponent equals 4 x blank$ with the lines x=1, x=9 is

The area bounded by the parabola $blank y to the power of 2 end exponent equals 4 x blank$ with the lines x=1, x=9 is

The area bounded by the curve with y = 1+ $fraction numerator text 8 end text over denominator text x end text to the power of 2 end exponent end fraction$ , X-axis and ordinates at x=2 and x=4 in sq. units is

The area bounded by the curve with y = 1+ $fraction numerator text 8 end text over denominator text x end text to the power of 2 end exponent end fraction$ , X-axis and ordinates at x=2 and x=4 in sq. units is

In the following reaction, which of the following steps is wrong?

In the following reaction, which of the following steps is wrong?

Chemistry-General

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$A r e a blank o f blank t h e blank r e g i o n blank R equals open curly brackets open square brackets open parentheses x comma y close parentheses divided by x to the power of 2 end exponent less or equal than y less or equal than x close square brackets close curly brackets blank i s$

$A r e a blank o f blank t h e blank r e g i o n blank R equals open curly brackets open square brackets open parentheses x comma y close parentheses divided by x to the power of 2 end exponent less or equal than y less or equal than x close square brackets close curly brackets blank i s$

Arrange the following compounds in increasing order of their reactivity in nucleophilic addition reactions:
I) Ethanal
II) Propanal
III) propanone
IV) Butanone

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I) Ethanal
II) Propanal
III) propanone
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In the reaction

Thyroxine, a thyroid hormone thathelps to regulate metabolic rate
Thyroxine is:</span

In the reaction

Thyroxine, a thyroid hormone thathelps to regulate metabolic rate
Thyroxine is:</span

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In the following reactions:
I)
II)
the rate of reaction of (I) and (II) are same. Bothreactionsproceed by which mechanism

In the following reactions:
I)
II)
the rate of reaction of (I) and (II) are same. Bothreactionsproceed by which mechanism

Chemistry-General

In the reaction of p-chlorotoluene with $K N H subscript 2 end subscript$ in liquid $N H subscript 3 end subscript$ , the major product is:</span

In the reaction of p-chlorotoluene with $K N H subscript 2 end subscript$ in liquid $N H subscript 3 end subscript$ , the major product is:</span

Chemistry-General

Which compound does not react with PCI₅?

Which compound does not react with PCI₅?

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In the following reaction:

By which mechanism does the reaction proceed?

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