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BITSAT 2009
List of top Questions asked in BITSAT- 2009
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
The value of
ₓₒ₀((4ˣ-1)³)/(x²(1+3x))
is
BITSAT - 2009
BITSAT
Mathematics
Differential equations
Spelling test – find correct spelling:
BITSAT - 2009
BITSAT
English
Vocabulary
REPRIMAND
BITSAT - 2009
BITSAT
English
Antonyms
Freedom, is the restricted kind in the sense (P), the rich and poor woman (Q), that a wide gulf separates (R), which a modern woman enjoys (S).
BITSAT - 2009
BITSAT
English
Sentence Arrangement
In life, some rules are (P), as in business (Q), they seem almost instinctive (R), learnt so early that (S).
BITSAT - 2009
BITSAT
English
Sentence Arrangement
Kapil, left in an aeroplane (P), after reading a sailing magazine (Q), had decided (R), to build his own boat nine years earlier (S).
BITSAT - 2009
BITSAT
English
Sentence Arrangement
Distance : Odometer :: ? : Barometer
BITSAT - 2009
BITSAT
Logical Reasoning
Logical Operation
One of the numbers does not fit into the series. Find the wrong number.
13,16,38,124,504,2535
BITSAT - 2009
BITSAT
Logical Reasoning
Logical Operation
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