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Capacitor C is charged to a potential V and the battery is disconnected. now if the plates are brought close slowly by some distance: a) some +ve work is done by external agent b) energy of capacitor will decrease c) energy o ...
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Value of nΣr=1 r nCrxr(1-x)n-r=? a] n b] x c] nx d] none of these ...
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If 0<ar<1 for r=1,2,3....k and m be the number of real solns of kΣr=1(ar)x=1 and n be the number of solns of kΣr=1(x-ar)101=0 then a] m=n b] m≤n c] m≥n d] m>n ...
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If θi belongs to [0, π/6 ] and z4sinθ1+z3sinθ2+z2sinθ3+zsinθ4+sinθ5=2 then z satisfies a] |z|> 3/4 b] |z|< 1/2 c] 1/2 <|z|< 3/4 ...
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If 2 roots of (c-1)(x2+x+1)2-(c+1)(x4+x2+1)=0 are real and distinct and f(x)= 1-x/1+x then f{f(x)}+f{f( 1/x )}= a]-c b]c c]2c d]none of these ...
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If x2-4cx+b>0 and a2+b2<ab then the range of x+a/x2+bx+c is a]R- b]R+ c]R d]none of these ...
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If f(x)=x3-6x2+(π+1)x+7 and p>q>r then [x-f(p)][x-f(r)]/x-f(q) has no value in a](p,q) b](q,r) c](r,∞) d]none of these ...
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The number of real roots of x8-x5+x2-x+1=0 is? a] 2 b] 4 c] 6 d] 0 ...
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What are the roots of x3+px2+q=0 in terms of p and q ...
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If a, b, c, d are unequal +ve numbers then the roots of the equation x/x-a + x/x-b + x/x-c +x+d=0 are necessarily a)all real b)all imaginary c)2 real 2 imaginary d)atleast 2 real ...
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If α be the number of solns of the equation [sin x]=|x|, (where [.] represents greatest integer function) and m be the greatest value of cos(x2+xex-[x]) in the interval [-1,1], then what is the relation between α and m (α ...
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What is transcription and transformation in proteins? ...
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do acids respond to iodoform test? if yes/no then why? ...
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Addition of bromine to propene in the presence of brine yields a mixture of ? ...
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what does Fe/HCl reduction of CCl4 give? what are the steps? ...
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When a grignard reagent is added to CH2=CH-CH0... does the double bond get affected? what are the final products? ...
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What is the mechanism/steps for reaction of glycerol with PCl5? ...
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When Mg is added to a carbon compound containing two different halide groups at symmetrical positions, which one forms the grignard reagent? for eg a compound containing Cl and Br ...
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What does the hydrolysis of isocyanides give? ...
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What is the mechanism for the reduction of RX by LiAlH4 ...
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If x ≥ 1, then 2 tan -1x + sin-1 frac{2x}{1+{{x}^{2}}} is ...
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If cosec-1x = 2 cot-12 + cos-1 (frac{3}{5}) , then x = ...
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Which C-atom is the most electronegative in this structure mathop {C{H_3}}limits^{{ m{III}}}-mathop {C{H_2}}limits^{{ m{II}}}-Cequiv mathop{CH}limits^{ m{I}} ...
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What do the left gap and the right gap in a meter bridge mean? Q: In a meter bridge with a standard resistance of 5Ω in the left gap the ratio of balancing lengths of the bridge wire is 2:3 the unknown resistance is? ...