Chemistry-
General
Easy

Question

Consider the following structures and pick up the right statements:
I)
II)
III) 

  1. I and II have R-configuration    
  2. I and III have R-configuration    
  3. only III has S-configuration    
  4. both (a) and (c) are correct    

The correct answer is: I and II have R-configuration

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The no. of real solutions  of (x,y) where vertical line y vertical line equals sin invisible function application x comma y equals cos to the power of negative 1 end exponent invisible function application left parenthesis cos invisible function application x right parenthesis comma left parenthesis negative 2 pi 2 pi right parenthesis are

The no. of real solutions  of (x,y) where vertical line y vertical line equals sin invisible function application x comma y equals cos to the power of negative 1 end exponent invisible function application left parenthesis cos invisible function application x right parenthesis comma left parenthesis negative 2 pi 2 pi right parenthesis are

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The molecules
are:

The molecules
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(A) The boiling point 6f cis-l,2-dichloroethene is higher than corresponding trans-isomer.
(R) The dipole moment of cis-l,2-dichloroethene is higher than trans-isomers.

(A) The boiling point 6f cis-l,2-dichloroethene is higher than corresponding trans-isomer.
(R) The dipole moment of cis-l,2-dichloroethene is higher than trans-isomers.

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(A) Metamers can also be chain or position isomers :
(R) The term tautomerism was introduced to explain the reactivity of a substance . according to two possible structures.

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(A) Following amide exist in two Structural forms:
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II)
(R) Rotation about carbon nitrogen bond is restricted due to resonance.·

(A) Following amide exist in two Structural forms:
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II)
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If square root of 2cosA = cosB + cos3B, square root of 2sinA = sinB - sin3B. Then |sin(A-B)| =

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Which of the following is chiral?

Which of the following is chiral?

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statement I: Minimum value of left parenthesis 3 s i n invisible function application theta minus 4 c o s invisible function application theta right parenthesis left parenthesis 3 c o s invisible function application theta plus 4 s i n invisible function application theta right parenthesis is negative fraction numerator 25 over denominator 2 end fraction
statement II: Minimum value of 9 t a n to the power of 2 end exponent invisible function application x plus 16 c o t to the power of 2 end exponent invisible function application x is 24 Which of the above statements is correct?

statement I: Minimum value of left parenthesis 3 s i n invisible function application theta minus 4 c o s invisible function application theta right parenthesis left parenthesis 3 c o s invisible function application theta plus 4 s i n invisible function application theta right parenthesis is negative fraction numerator 25 over denominator 2 end fraction
statement II: Minimum value of 9 t a n to the power of 2 end exponent invisible function application x plus 16 c o t to the power of 2 end exponent invisible function application x is 24 Which of the above statements is correct?

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open curly brackets open x element of R divided by l o g open square brackets open parentheses 1.6 close parentheses to the power of 1 minus x 2 end exponent minus open parentheses 0.625 close parentheses to the power of 6 open parentheses 1 plus x close parentheses end exponent close square brackets element of R close curly brackets equals close

open curly brackets open x element of R divided by l o g open square brackets open parentheses 1.6 close parentheses to the power of 1 minus x 2 end exponent minus open parentheses 0.625 close parentheses to the power of 6 open parentheses 1 plus x close parentheses end exponent close square brackets element of R close curly brackets equals close

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The extreme values of 4 c o s invisible function application open parentheses x to the power of 2 end exponent close parentheses c o s invisible function application open parentheses fraction numerator pi over denominator 3 end fraction plus x to the power of 2 end exponent close parentheses c o s invisible function application open parentheses fraction numerator pi over denominator 3 end fraction minus x to the power of 2 end exponent close parentheses over R are

The extreme values of 4 c o s invisible function application open parentheses x to the power of 2 end exponent close parentheses c o s invisible function application open parentheses fraction numerator pi over denominator 3 end fraction plus x to the power of 2 end exponent close parentheses c o s invisible function application open parentheses fraction numerator pi over denominator 3 end fraction minus x to the power of 2 end exponent close parentheses over R are

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The period of open parentheses t a n invisible function application theta minus fraction numerator 1 over denominator 3 end fraction t a n to the power of 3 end exponent invisible function application theta close parentheses open parentheses fraction numerator 1 over denominator 3 end fraction minus t a n to the power of 2 end exponent invisible function application theta close parentheses to the power of negative 1 end exponent, where t a n to the power of 2 end exponent invisible function application theta not equal to fraction numerator 1 over denominator 3 end fraction is

The period of open parentheses t a n invisible function application theta minus fraction numerator 1 over denominator 3 end fraction t a n to the power of 3 end exponent invisible function application theta close parentheses open parentheses fraction numerator 1 over denominator 3 end fraction minus t a n to the power of 2 end exponent invisible function application theta close parentheses to the power of negative 1 end exponent, where t a n to the power of 2 end exponent invisible function application theta not equal to fraction numerator 1 over denominator 3 end fraction is

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The minimum value of 27 t a n to the power of 2 end exponent invisible function application theta plus 3 c o t to the power of 2 end exponent invisible function application theta is

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The maximum value of open parentheses c o s invisible function application alpha subscript 1 end subscript close parentheses open parentheses c o s invisible function application alpha subscript 2 end subscript close parentheses open parentheses c o s invisible function application alpha subscript n end subscript close parentheses, under the restrictions 0 less or equal than alpha subscript 1 end subscript comma alpha subscript 2 end subscript comma horizontal ellipsis. alpha subscript n end subscript less or equal than fraction numerator pi over denominator 2 end fraction and open parentheses c o t invisible function application alpha subscript 1 end subscript close parentheses open parentheses c o t invisible function application alpha subscript 2 end subscript close parentheses horizontal ellipsis open parentheses c o t invisible function application alpha subscript n end subscript close parentheses equals 1

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The maximum value of s i n invisible function application left parenthesis c o s invisible function application x right parenthesis is equal to

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Range of c o s to the power of 4 end exponent invisible function application x minus s i n to the power of 4 end exponent invisible function application x is

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