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BITSAT 2014
List of top Questions asked in BITSAT- 2014
If \(\frac{1}{a}, \frac{1}{b}, \frac{1}{c}\) are in A.P., then \[ \left(\frac{1}{a}+\frac{1}{b}+\frac{1}{c}\right)\left(\frac{1}{b}+\frac{1}{c}-\frac{1}{a}\right) \] is equal to:
BITSAT - 2014
BITSAT
Mathematics
Sequence and Series
If \(P_1\) and \(P_2\) be the lengths of perpendiculars from the origin upon the straight lines \(x\sec\theta+y\cosec\theta=a\) and \(x\cos\theta-y\sin\theta=a\cos2\theta\) respectively, then the value of \(4P_1^2+P_2^2\) is:
BITSAT - 2014
BITSAT
Mathematics
Straight lines
The angle of intersection of the two circles \(x^2+y^2-2x-2y=0\) and \(x^2+y^2=4\) is:
BITSAT - 2014
BITSAT
Mathematics
Circles
If \(T_0,T_1,T_2,\ldots,T_n\) represent the terms in the expansion of \((x+a)^n\), then \((T_0-T_2+T_4-\cdots)^2+(T_1-T_3+T_5-\cdots)^2=\)
BITSAT - 2014
BITSAT
Mathematics
permutations and combinations
The number of all three element subsets of the set \(\{a_1,a_2,a_3,\ldots,a_n\}\) which contain \(a_3\) is:
BITSAT - 2014
BITSAT
Mathematics
permutations and combinations
The complex number \(z=z+iy\) which satisfies the equation \[ \left|\frac{z-3i}{z+3i}\right|=1 \] lies on:
BITSAT - 2014
BITSAT
Mathematics
Complex numbers
In how many ways can a committee of 5 be formed out of 6 men and 4 women containing at least one woman?
BITSAT - 2014
BITSAT
Mathematics
permutations and combinations
\(i^{57}+\dfrac{1}{i^{25}}\), when simplified has the value:
BITSAT - 2014
BITSAT
Mathematics
Complex numbers
The solution of \(\cos(2x)-1(3+2\cos x)=0\) in the interval \(0\le x\le2\pi\) is:
BITSAT - 2014
BITSAT
Mathematics
Trigonometry
If \(z=x+iy,\; z^{1/3}=a-ib\), then \(\dfrac{x}{a}-\dfrac{y}{b}=k(a^2-b^2)\), where \(k\) is equal to:
BITSAT - 2014
BITSAT
Mathematics
Complex numbers
\(2^{3n}-7n-1\) is divisible by:
BITSAT - 2014
BITSAT
Mathematics
mathematical reasoning
The greatest positive integer which divides \(n(n+1)(n+2)(n+3)\) for all \(n\in\mathbb{N}\), is:
BITSAT - 2014
BITSAT
Mathematics
mathematical reasoning
\(\cos^2\!\left(\frac{\pi}{6}+\theta\right)-\sin^2\!\left(\frac{\pi}{6}-\theta\right)=\)
BITSAT - 2014
BITSAT
Mathematics
Trigonometry
Which among the following is not an antibiotic?
BITSAT - 2014
BITSAT
Chemistry
antimicrobials
Which of the following ions can be separated by aq. NH\(_4\)OH in presence of NH\(_4\)Cl?
BITSAT - 2014
BITSAT
Chemistry
coordination compounds
The set \((A\setminus B)\cup(B\setminus A)\) is equal to:
BITSAT - 2014
BITSAT
Mathematics
sets
The domain of the function \[ f(x)=\log_2\!\left(-\log_{\sqrt{2}}\!\left(1+\frac{1}{x^4}\right)-1\right) \] is:
BITSAT - 2014
BITSAT
Mathematics
types of functions
3.92 g of ferrous ammonium sulphate reacts completely with 50 ml of \(\frac{N}{10}\) KMnO\(_4\) solution. The percentage purity of the sample is:
BITSAT - 2014
BITSAT
Chemistry
Oxidation And Reduction Reactions
Which of the following can possibly be used as analgesic without causing addiction and modification?
BITSAT - 2014
BITSAT
Chemistry
Chemistry in Everyday Life
The ionization constant of phenol is higher than that of ethanol because:
BITSAT - 2014
BITSAT
Chemistry
Alcohols, Phenols and Ethers
The reaction \[ \mathrm{CH_3-CH=CH_2 \xrightarrow[\text{H}^+]{CO+H_2O} CH_3-CH(COOH)-CH_3} \] is known as:
BITSAT - 2014
BITSAT
Chemistry
Aldehydes, Ketones and Carboxylic Acids
Which one of the following monomers gives the polymer neoprene on polymerization?
BITSAT - 2014
BITSAT
Chemistry
Polymers
Which forms coloured salts:
BITSAT - 2014
BITSAT
Chemistry
coordination compounds
The correct order of magnetic moments (spin only values in B.M.) is: (Atomic nos.: Mn = 25, Fe = 26, Co = 27)
BITSAT - 2014
BITSAT
Chemistry
coordination compounds
The number of double bonds in gammaxene is:
BITSAT - 2014
BITSAT
Chemistry
Hydrocarbons
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