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BITSAT
List of top Questions asked in BITSAT
An aqueous solution of a substance gives a white precipitate on treatment with dil. HCl which dissolves on heating. When H₂S is passed through the hot acidic solution, a black precipitate is obtained. The substance is a:
BITSAT - 2009
BITSAT
Chemistry
Organic Chemistry
The one which is least basic is:
BITSAT - 2009
BITSAT
Chemistry
Organic Chemistry
If A=1,2,3,4,5 then the number of proper subsets of A is:
BITSAT - 2009
BITSAT
Mathematics
permutations and combinations
The range of the function f(x)=x²-x+1
x²+x+1, where xR, is:
BITSAT - 2009
BITSAT
Mathematics
Algebra
If y=2α1+α+α, then the value of 1-α+α1+α is:
BITSAT - 2009
BITSAT
Mathematics
Algebra
The period of θ+\sin2θθ+\cos2θ is:
BITSAT - 2009
BITSAT
Mathematics
Trigonometry
The 100\textsuperscriptth
term of the sequence 1,2,2,3,3,3,4,4,4,4, is:
BITSAT - 2009
BITSAT
Mathematics
Algebra
The general solution of 8²(x)/(2)=1+ x is:
BITSAT - 2009
BITSAT
Mathematics
Algebra
10ⁿ+3(4ⁿ⁺²)+5 is divisible by (nN):
BITSAT - 2009
BITSAT
Mathematics
Algebra
If the expression x²-11x+a and ax²-14x+2a must have a common factor, then the common factor is:
BITSAT - 2009
BITSAT
Mathematics
Algebra
If f(t)=1-t
1+t, then f'(1) is equal to:
BITSAT - 2009
BITSAT
Mathematics
Calculus
If the function f:(-∞,∞)→ B defined by f(x)=-x²+6x-8 is bijective, then B=
BITSAT - 2009
BITSAT
Mathematics
Calculus
If A and B are 2×2 matrices, which of the following is true?
BITSAT - 2009
BITSAT
Mathematics
Applications of Determinants and Matrices
The digits A,B,C are such that the three-digit numbers A88, 6B8, 86C are divisible by 72. Then the determinant
vmatrix A & 6 & 8
8 & B & 6
8 & 8 & C vmatrix
is divisible by
BITSAT - 2009
BITSAT
Mathematics
Applications of Determinants and Matrices
If
M(α)= bmatrix α & -α & 0
α & α & 0
0 & 0 & 1 bmatrix, M(β)= bmatrix β & 0 & β
0 & 1 & 0
-β & 0 & β bmatrix
then [M(α)M(β)]^-1
is equal to
BITSAT - 2009
BITSAT
Mathematics
Matrices
If y=e⁻ˣ x and y+k y'=0, where y₄=d⁴ydx⁴, then k=
BITSAT - 2009
BITSAT
Mathematics
Calculus
The set of points of discontinuity of the function
f(x)=(1)/(|x||x|)
is
BITSAT - 2009
BITSAT
Mathematics
Calculus
Evaluate:
x⁻¹xdx
BITSAT - 2009
BITSAT
Mathematics
Calculus
Evaluate
₀¹ dx√(2-x²)
BITSAT - 2009
BITSAT
Mathematics
Calculus
If ₀ⁿ [x]dx = 66, then n=
BITSAT - 2009
BITSAT
Mathematics
Calculus
Area of the triangle formed by the line x+y=3 and angle bisectors of the pair of straight lines x²-y²+2y=1 is
BITSAT - 2009
BITSAT
Mathematics
Vector Algebra
The random variable X has the following probability distribution
|c|c|c|c|c|c| x & 0 & 1 & 2 & 3 & 4
P(X=x) & k & 3k & 5k & 2k & k
Then the value of P(X\ge2) is
BITSAT - 2009
BITSAT
Mathematics
Probability
Solution of differential equation
(dy)/(dx)+(y)/(x)= x
BITSAT - 2009
BITSAT
Mathematics
Differential equations
A person standing on the bank of a river observes that the angle subtended by a tree on the opposite bank is 60^. When he retreats 20 feet from the bank, he finds the angle to be 30^. The breadth of the river in feet is:
BITSAT - 2009
BITSAT
Mathematics
Linear Programming
Two tangents PQ and PR drawn to the circle x²+y²-2x-4y-20=0 from point P(16,7). If the centre of the circle is C, the area of quadrilateral PQCR is
BITSAT - 2009
BITSAT
Mathematics
Coordinate Geometry
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