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List of top Mathematics Questions asked in BITSAT
If a > 0, a R, z = a + 2i and |z| = -az + 1, then:
BITSAT - 2011
BITSAT
Mathematics
Complex numbers
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
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 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 ²⁰Cᵣ = ²⁰Cᵣ-₁₀, then ¹⁵Cᵣ is equal to:
BITSAT - 2011
BITSAT
Mathematics
permutations and combinations
The term independent of x in the expansion of (9x - 13√(x))¹8
, x>0, is a times the corresponding binomial coefficient. Then a is:
BITSAT - 2011
BITSAT
Mathematics
permutations and combinations
For n N, xⁿ⁺¹ + (x+1)²n-1
is divisible by:
BITSAT - 2011
BITSAT
Mathematics
mathematical reasoning
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
cosθ1-tanθ + sinθ1-cotθ is equal to:
BITSAT - 2011
BITSAT
Mathematics
Trigonometry
If sin θ = -(1)/(2) and tan θ = 1√(3), then θ is equal to:
BITSAT - 2011
BITSAT
Mathematics
Trigonometry
If tan A = (1)/(2) and tan B = (1)/(3), then find the value of A + B.
BITSAT - 2011
BITSAT
Mathematics
Trigonometry
Equation of the bisector of the acute angle between lines $3x + 4y + 5 = 0$ and $12x -5y - 7 = 0$ is
BITSAT - 2011
BITSAT
Mathematics
Straight lines
The value of
$7 \log\left(\frac{16}{15} \right) +5 \log\left(\frac{25}{24}\right) + 3 \log\left(\frac{81}{80}\right) $
is equla to
BITSAT - 2011
BITSAT
Mathematics
Exponential and Logarithmic Functions
$\displaystyle\lim_{x\to0} \frac{\sin x}{x}$
is equal to
BITSAT - 2011
BITSAT
Mathematics
limits of trigonometric functions
A bag contains
$3$
white and
$5$
black balls. One ball is drawn at random. Then the probability that it is white is:
BITSAT - 2011
BITSAT
Mathematics
Probability
The length of the latus rectum of the parabola $169\left[(x-1)^{2}+(y-3)^{2}\right]=(5 x-12 y+ 17) ^{2}$ is:
BITSAT - 2011
BITSAT
Mathematics
Parabola
If
$2 i + j - k$
and
$i -4 j +\lambda k$
are perpendicular to each other, then
$\lambda$
is equal to:
BITSAT - 2011
BITSAT
Mathematics
Vector Algebra
The sum of the series
$\log _{4} 2-\log _{8} 2+\log _{16} 2-\ldots$
is
BITSAT - 2011
BITSAT
Mathematics
Sum of First n Terms of an AP
$\frac{d}{dx} (x^x)$
is equal to
BITSAT - 2011
BITSAT
Mathematics
Logarithmic Differentiation
The function
$\sin \, x + \cos \, x$
is maximum when
$x$
is equal to
BITSAT - 2011
BITSAT
Mathematics
Maxima and Minima
The set $A = \{ x : x \in R, x^2 = 16$ and $2x = 6\}$ equals
BITSAT - 2011
BITSAT
Mathematics
Sets
If
$\frac{ d }{ dx }(\phi( x ))= f ( x )$
, then
$\int\limits_{1}^{2} f ( x )$
is equal to:
BITSAT - 2011
BITSAT
Mathematics
Definite Integral
$\int\limits^2_0 |1 -x| dx$
is equal to
BITSAT - 2011
BITSAT
Mathematics
Some Properties of Definite Integrals
If
$I_{m}=\int\limits_{1}^{e}(\ln x)^{m} d x$
, where
$m \in N$
, then
$I_{10}+10 I_{9}$
is equal to -
BITSAT - 2010
BITSAT
Mathematics
integral
The area of the region bounded by the curve
$y=x |x|, x$
-axis and the ordinates
$x=1, x=$
$-1$
is given by:
BITSAT - 2010
BITSAT
Mathematics
Area under Simple Curves
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