Chemistry-
General
Easy

Question

(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.

  1. If both (A) and (R) are true and (R) is correct explanation of (A).    
  2. If both (A) and (R) are true but (R) is not correct explanation of (A)    
  3. If (A)is true but (R)is false.    
  4. If both (A) and (R) are false.    

The correct answer is: If both (A) and (R) are true but (R) is not correct explanation of (A)

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

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

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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
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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

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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 16 c o s to the power of 5 end exponent invisible function application theta minus 20 c o s to the power of 3 end exponent invisible function application theta plus 5 c o s invisible function application theta is

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