Name the given reaction and enzyme involved in it.
`alpha`-etoglutaric acid `+NH_(4)^(+)+NADPH overset("Enzyme")to"glutamate"+H_(2)O+NADP`
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If `f(x)=x^(11)+x^9-x^7+x^3+1` and `f(sin^(-1)(sin8)=alpha,alpha` is constant, then `f(tan^(-1)(t a n8)` is equal to `alpha` (b) `alpha-2` (c) `alpha+
Correct Answer - D `f(x) + f(-x) = 2` Now `(sin^(-1) (sin 8)) = 3pi - 8 = y` And `(tan^(-1) (tan 8)) = (8 - 3pi) = -y` Hence, `f(y)...
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The value of `(alpha^3)/2cos e c^2(1/2tan^(-1)alpha/beta)+(beta^3)/2sec^2(1/2tan^(-1)(beta/alpha))i se q u a lto` `(alpha+beta)(alpha^2+beta^2)` (b) `
Correct Answer - C `(alpha^(3))/(2) cosec^(2) ((1)/(2) tan^(-1). (alpha)/(beta)) + (beta^(3))/(2) sec^(2) ((1)/(2) tan^(-1).(beta)/(alpha))` `= alpha^(3) (1)/(1 - cos(tan^(-1) ((alpha)/(beta)))) + beta^(3) (1)/(1 + cos (tan^(-1).(beta)/(alpha)))` `= alpha^(3) (1)/(1 -cos (cos^(-1)...
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If `2sec^2 alpha- sec^4 alpha-2 cosec^2 alpha+cosec^4 alpha=15/4` then `tan alpha=`
Correct Answer - A::D `2sec^2alpha-sec^4alpha-2cosec^2alpha+cosec^4alpha=15/4` `or 2(sec^2alpha-cosec^2alpha)+(cosec^2alpha+sec^2alpha)xx(cosec^2alpha-sec^2alpha-sec^2alpha)=15/4` `or (cosec^2alpha-sec^2alpha)[cosec^2alpha+sec^2alpha-2]=15/4` `or 4(cot^2alpha-tan^2alpha)[cosec^2alpha+sec^2alpha)=15` `or4(cot^4alpha-tan^4alpha)=15` `or 4(1-tan^8alpha)=15tan^4alpha` `or 4tan^8alpha+15tan^4alpha` `or 4tan^8alpha+154tan^4alpha-4=0` `or (4tan^4alpha-1)(tan^4alpha+4)=0` `or tan^4alpha=1/4ot tan^4alpha=-4` `or tan^2alpha=pm1/2` `or tan^2alpha=+1/2` `or tanalpha=pm1/sqrt2`
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There are two sets of parallel lines, their equations being `x cos alpha+y sin alpha=p` and `x sin alpha- y cos alpha=p` , `p=1,2,3,….n` and `alpha in
Correct Answer - C `(c )` `"^(n)C_(2)*^(n)C_(2)=225impliesn=6`
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A radioactive nucleus undergoes a series of decays according to the sequence : `A overset(beta)rarr A_(1) overset(alpha)rarr A_(2) overset(alpha) rarr
Correct Answer - Mass number = 180, Atomic number = 72
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How many compounds liberate `NH_(3)` on heating from the following ? (i) `(NH_(4))_(2)SO_(4) " " (ii) (NH_(4))_(2)CO_(3) " " (iii) NH_(4)Cl` (iv) `NH_
Correct Answer - 3 (I,ii, iii)
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Name the given reaction and enzyme involved in it `underset("Amino donor")(R_(1)-underset(NH_(3)^(+))underset(|)overset(H)overset(|)(C)-COO^(-)+unders
Correct Answer - `-`Transamination -Transaminase
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In how many of the following reactions `N_(2)` gas may be released `{:((a) NH_(4)NO_(2) overset(Delta)rarr,(b) (NH_(4))_(2) Cr_(2)O_(7) overset(Delta)
Correct Answer - 9(a,b,c,d,e,f,g,h and i)
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The product P of the following reaction is `CH_(3)-COOH overset(LiAlH_(4))to overset(SOCl_(2))to overset(Koverset(14)(C)N)to overset(H_(3)O^(o+)) to P
Correct Answer - `CH_(3)-CH_(2)-overset(14)(C)OOH`
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`CH_(3)COOH overset((i) PCl_(3)+Cl_(2) ("excess"))underset((ii) O_(2))to (X) overset(SOCl_2) to (Y) overset(H_(2)//Pd//BaSO_(4))to(Z) overset(OH^(-))t
Correct Answer - `X=Cl_(3)C-underset(O)underset(||)(C)-OH,Y=Cl_(3)C-underset(O)underset(||)(C)-Cl,Z=Cl_(3)C-underset(O)underset(||)(C)-H,W=CHCl_(3),S=HCOO^(Theta)`
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