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BITSAT 2011
List of top Questions asked in BITSAT- 2011
Let I₁=₀²1√(1+x²)dx and I₂=₀²(1)/(x)dx, then:
BITSAT - 2011
BITSAT
Mathematics
Definite Integral
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
The function f(x)=2x³-3x²-12x+4 has:
BITSAT - 2011
BITSAT
Mathematics
Maxima and Minima
Evaluate (x²)/(x²-1)dx.
BITSAT - 2011
BITSAT
Mathematics
Integration
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
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 f(x)=1-x
1+x, the domain of f⁻¹(x) is:
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
The matrix A²+4A-5I, where I is identity matrix and A=bmatrix1&2
4&-3bmatrix, equals:
BITSAT - 2011
BITSAT
Mathematics
types of matrices
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
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
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 A and B are mutually exclusive events and if P(B)=1
3, P(A B)=(13)/(21), then P(A) is equal to:
BITSAT - 2011
BITSAT
Mathematics
Probability
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
Evaluate ₓₒᵢₙfty√(1+\sin3x)-1ln(1+\tan2x)
.
BITSAT - 2011
BITSAT
Mathematics
limits and derivatives
Negation of “Paris is in France and London is in England” is:
BITSAT - 2011
BITSAT
Mathematics
validating statements
Find the A.M. of the first ten odd numbers.
BITSAT - 2011
BITSAT
Mathematics
Sequence and Series
The length of the latus-rectum of the parabola whose focus is ((u²)/(2g)\sin2α,-(u²)/(2g)\cos2α) and directrix is y=(u²)/(2g), is:
BITSAT - 2011
BITSAT
Mathematics
sections of a cone
The family of straight lines (2a+3b)x+(a-b)y+2a-4b=0 is concurrent at the point:
BITSAT - 2011
BITSAT
Mathematics
Straight lines
The equation of the ellipse with focus at (±5,0) and eccentricity =(5)/(6) is:
BITSAT - 2011
BITSAT
Mathematics
sections of a cone
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
The distance of the point (-1,1) from the line 2(x+6)-5(y-2)=0 is:
BITSAT - 2011
BITSAT
Mathematics
Straight lines
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