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BITSAT 2011
List of top Questions asked in BITSAT- 2011
Evaluate (x²)/(x²-1)dx.
BITSAT - 2011
BITSAT
Mathematics
Integration
The function f(x)=2x³-3x²-12x+4 has:
BITSAT - 2011
BITSAT
Mathematics
Maxima and Minima
The minimum value of f(x)=sin⁴x+cos⁴x in the interval (0,(π)/(2)) is:
BITSAT - 2011
BITSAT
Mathematics
Maxima and Minima
The curve y-eˣ+x=0 has a vertical tangent at:
BITSAT - 2011
BITSAT
Mathematics
Tangents and Normals
If f(x)=cases
x,& x rational
1-x,& x irrationalcases then f(f(x)) is equal to:
BITSAT - 2011
BITSAT
Mathematics
types of functions
If A=bmatrix2&0&0
2&2&0
2&2&2bmatrix, then det(adj A) is equal to:
BITSAT - 2011
BITSAT
Mathematics
Properties of Determinants
If f(x)=1-x
1+x, the domain of f⁻¹(x) is:
BITSAT - 2011
BITSAT
Mathematics
types of functions
The matrix A²+4A-5I, where I is identity matrix and A=bmatrix1&2
4&-3bmatrix, equals:
BITSAT - 2011
BITSAT
Mathematics
types of matrices
Find the A.M. of the first ten odd numbers.
BITSAT - 2011
BITSAT
Mathematics
Sequence and Series
Negation of “Paris is in France and London is in England” is:
BITSAT - 2011
BITSAT
Mathematics
validating statements
For what value of k do the circles x²+y²+5x+3y+7=0 and x²+y²-8x+6y+k=0 cut orthogonally?
BITSAT - 2011
BITSAT
Mathematics
Circles
If the lines 3x-4y+4=0 and 6x-5y-7=0 are tangents then the radius of the circle is:
BITSAT - 2011
BITSAT
Mathematics
Circles
If the sum of the first 2n terms of 2, 5, 8, … is equal to the sum of the first n terms of 57, 59, 61, …, then n is equal to:
BITSAT - 2011
BITSAT
Mathematics
Sum of First n Terms of an AP
If p,q,r are the nᵗh, qᵗh terms of H.P. and are u,v,w respectively, then the value of the expression (q-r)v+(r-p)w+(p-q)u is:
BITSAT - 2011
BITSAT
Mathematics
Sequence and Series
For n N, xⁿ⁺¹ + (x+1)²n-1
is divisible by:
BITSAT - 2011
BITSAT
Mathematics
mathematical reasoning
In the binomial (2¹/³+3⁻¹/³)ⁿ, if the ratio of the seventh term from the beginning to the seventh term from the end is 1/6, then n is equal to:
BITSAT - 2011
BITSAT
Mathematics
general and middle terms
Which of the following is not a vertex of the positive region bounded by the inequalities 2x + 3y ≤ 6, 3x + 3y ≤ 15 and x, y ≥ 0?
BITSAT - 2011
BITSAT
Mathematics
linear inequalities
If α, β are the roots of the equation ax² + bx + c = 0, then the roots of the equation ax² + bx(x+1) + c(x+1)² = 0 are:
BITSAT - 2011
BITSAT
Mathematics
Complex Numbers and Quadratic Equations
Which of the following cannot give iodometric titration?
BITSAT - 2011
BITSAT
Chemistry
Electrochemistry
If f(x) is a function that is odd and even simultaneously, then f(3) - f(2) is equal to:
BITSAT - 2011
BITSAT
Mathematics
types of functions
Acetaldehyde and acetone can be distinguished by:
BITSAT - 2011
BITSAT
Chemistry
Aldehydes, Ketones and Carboxylic Acids
Which of the following esters cannot undergo Claisen self-condensation?
BITSAT - 2011
BITSAT
Chemistry
carbonyl compounds
The reagent(s) which can be used to distinguish acetophenone from benzophenone is (are):
BITSAT - 2011
BITSAT
Chemistry
carbonyl compounds
Aniline reacts with nitrous acid to produce:
BITSAT - 2011
BITSAT
Chemistry
Structure of Amines
The structural feature which distinguishes proline from natural α-amino acids is:
BITSAT - 2011
BITSAT
Biology
Proteins
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