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Maths-

General

Easy

Question

$I n blank a blank t r i a n g l e A B C blank comma blank i f blank open parentheses 1 plus fraction numerator a over denominator b end fraction plus fraction numerator c over denominator b end fraction close parentheses open parentheses 1 plus fraction numerator b over denominator c end fraction minus fraction numerator a over denominator c end fraction close parentheses equals 3 blank comma blank t h e n blank t h e blank a n g l e blank A$ is equal to

$\frac{π}{3}$
$\frac{π}{4}$
$\frac{π}{6}$
$N o n e o f t h e s e$

The correct answer is: $fraction numerator pi over denominator 3 end fraction$

Hint: Use cos A
$table row cell left parenthesis b plus a plus c right parenthesis left parenthesis b plus c minus a right parenthesis equals 3 b c end cell row cell left parenthesis b plus c right parenthesis to the power of 2 end exponent minus a to the power of 2 end exponent equals 3 b c colon fraction numerator b to the power of 2 end exponent plus c to the power of 2 end exponent minus a to the power of 2 end exponent over denominator b c end fraction equals 1 end cell row cell c o s invisible function application A equals fraction numerator 1 over denominator 2 end fraction semicolon A equals fraction numerator pi over denominator 3 end fraction end cell end table$

Related Questions to study

(A) is:

(A) is:

Chemistry-General

Which statement is correct about the following reaction?

Which statement is correct about the following reaction?

Chemistry-General

Reagent I and II, respectively are :

Reagent I and II, respectively are :

Chemistry-General

parallel

Compound (B) is:

Compound (B) is:

Chemistry-General

The range of the function $s i n invisible function application left parenthesis left square bracket x right square bracket pi right parenthesis$ is

The range of the function $s i n invisible function application left parenthesis left square bracket x right square bracket pi right parenthesis$ is

The domain of the function $f left parenthesis x right parenthesis equals square root of l o g invisible function application fraction numerator 1 over denominator vertical line s i n invisible function application x vertical line end fraction end root$ is

The domain of the function $f left parenthesis x right parenthesis equals square root of l o g invisible function application fraction numerator 1 over denominator vertical line s i n invisible function application x vertical line end fraction end root$ is

parallel

$T h e blank a r e a blank i n blank t h e blank f i r s t blank q u a d r a n t blank e n c l o s e d blank b y blank t h e blank X minus a x i s blank u n d e r blank t h e blank c u r v e blank x to the power of 2 end exponent plus y to the power of 2 end exponent equals 4 blank a n d blank t h e blank l i n e blank x equals fraction numerator y over denominator square root of 3 end fraction i s blank$

$T h e blank a r e a blank i n blank t h e blank f i r s t blank q u a d r a n t blank e n c l o s e d blank b y blank t h e blank X minus a x i s blank u n d e r blank t h e blank c u r v e blank x to the power of 2 end exponent plus y to the power of 2 end exponent equals 4 blank a n d blank t h e blank l i n e blank x equals fraction numerator y over denominator square root of 3 end fraction i s blank$

Which of the following reactions is Hofmann elimination?
I)
II)
III)
IV)

Which of the following reactions is Hofmann elimination?
I)
II)
III)
IV)

Chemistry-General

The decreasing order of reactivity towards $A r S N$ reaction of the following with $N a O M e$ is:
I)
II)
III)
IV)

The decreasing order of reactivity towards $A r S N$ reaction of the following with $N a O M e$ is:
I)
II)
III)
IV)

Chemistry-General

parallel

Which product is racemic in the above reaction?

Which product is racemic in the above reaction?

Chemistry-General

$A r e a blank o f blank t h e blank s e g m e n t blank c u t blank o f f blank f r o m blank t h e blank p a r a b o l a blank x to the power of 2 end exponent equals 8 y blank b y blank t h e blank l i n e blank x minus 2 y plus 8 equals 0 blank i s$

$A r e a blank o f blank t h e blank s e g m e n t blank c u t blank o f f blank f r o m blank t h e blank p a r a b o l a blank x to the power of 2 end exponent equals 8 y blank b y blank t h e blank l i n e blank x minus 2 y plus 8 equals 0 blank i s$

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

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

parallel

The structure of product (B) is:

The structure of product (B) is:

Chemistry-General

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

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

Chemistry-General

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

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

Chemistry-General

parallel

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