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BITSAT
List of top Questions asked in BITSAT
The constraints of the L.P. problem given by x₁+2x₂\le2000, x₁+x₂\le1500 and x₂\le600, x₁,x₂\ge0, which of the following points does not lie in the positive bounded region?
BITSAT - 2011
BITSAT
Mathematics
Linear Programming Problem
I. Although he was innocent, baseless accusations were leveled at him.
II. Despite operated representations from the people, the authorities have failed to take any action.
BITSAT - 2011
BITSAT
English
Error Spotting
TURBULENCE
BITSAT - 2011
BITSAT
English
Synonyms and Antonyms
I deem it as a privilege to address the gathering.
II. Perfection can be achieved with practice.
BITSAT - 2011
BITSAT
English
Error Spotting
A ladder rests against a wall so that its top touches the roof of the house. If the ladder makes an angle of 60^ with the horizontal and height of the house is 6\sqrt3 meters, then the length of the ladder is:
BITSAT - 2011
BITSAT
Mathematics
Trigonometry
The degree of the differential equation ((d²y)/(dx²))³+4-3d²y
dx²+5(dy)/(dx)=0 is:
BITSAT - 2011
BITSAT
Mathematics
Order and Degree of Differential Equation
Find the value of ₀⁽⁴π⁾/⁽³⁾|sin x|dx.
BITSAT - 2011
BITSAT
Mathematics
Definite Integral
Let I₁=₀²1√(1+x²)dx and I₂=₀²(1)/(x)dx, then:
BITSAT - 2011
BITSAT
Mathematics
Definite Integral
Two vectors A and B are such that | A+ B|=| A- B|. The angle between them is:
BITSAT - 2011
BITSAT
Physics
Vectors
What is the area bounded by y=tan x, y=0 and x=(π)/(4)?
BITSAT - 2011
BITSAT
Mathematics
applications of integrals
Given the line L:(x-1)/(3)=(y+1)/(2)=(z-3)/(-1) and the plane π:x-2y-z=0. Of the following assertions, the only one that is always true is:
BITSAT - 2011
BITSAT
Mathematics
Three Dimensional Geometry
Evaluate (x²)/(x²-1)dx.
BITSAT - 2011
BITSAT
Mathematics
Integration
The curve y-eˣ+x=0 has a vertical tangent at:
BITSAT - 2011
BITSAT
Mathematics
Tangents and Normals
The minimum value of f(x)=sin⁴x+cos⁴x in the interval (0,(π)/(2)) is:
BITSAT - 2011
BITSAT
Mathematics
Maxima and Minima
The function f(x)=2x³-3x²-12x+4 has:
BITSAT - 2011
BITSAT
Mathematics
Maxima and Minima
The function f(x)=sin x-kx-c, where k and c are constants, decreases always when:
BITSAT - 2011
BITSAT
Mathematics
Increasing and Decreasing Functions
If y=xˣ^², then dydx is equal to:
BITSAT - 2011
BITSAT
Mathematics
Continuity and differentiability
The function f(x)=(x-1)√|x|
is at x=1:
BITSAT - 2011
BITSAT
Mathematics
Continuity and differentiability
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)=cases
x,& x rational
1-x,& x irrationalcases then f(f(x)) is equal to:
BITSAT - 2011
BITSAT
Mathematics
types of functions
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
A die is loaded such that the probability of throwing the number is proportional to its reciprocal. The probability that 3 appears in a single throw is:
BITSAT - 2011
BITSAT
Mathematics
Probability
The value of sin(4tan⁻¹(1)/(3))-cos(2tan⁻¹(1)/(3)) is:
BITSAT - 2011
BITSAT
Mathematics
Trigonometry
Find the A.M. of the first ten odd numbers.
BITSAT - 2011
BITSAT
Mathematics
Sequence and Series
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