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List of top Mathematics Questions asked in BITSAT
The sum of the focal distances of any point on the conic
$\frac{x^2}{25}+\frac{y^2}{16}=1$
is
BITSAT - 2006
BITSAT
Mathematics
Ellipse
The equation of plane passing through a point
$A (2,-1,3)$
and parallel to the vectors
$a =(3,0,-1)$
and
$b =(-3,2,2)$
is:
BITSAT - 2005
BITSAT
Mathematics
Plane
$(10101101)_2 = (................)_{10}$
BITSAT - 2005
BITSAT
Mathematics
Binary operations
If $\sin A , \sin B , \cos A$ are in GP, then roots of $x ^{2}+2 x \cot B +1=0$ are always
BITSAT - 2005
BITSAT
Mathematics
Arithmetic Progression
The point of intersection of the line $\frac{x-1}{3}=\frac{y+2}{4}=\frac{z-3}{-2}$ and plane $2 x-y+3 z-1= 0$ is.
BITSAT - 2005
BITSAT
Mathematics
Plane
Value of
$\displaystyle\sum_{ k =1}^{6}\left(\frac{2 k \pi}{7}\right)- i \cos \left(\frac{2 k \pi}{7}\right)$
is equal to.
BITSAT - 2005
BITSAT
Mathematics
complex numbers
The number of common tangents to circle
$x^{2}+y^{2}+2 x+8 y-23=0$
and
$x^{2}+y^{2}-4 x-10 y+9=0$
, is.
BITSAT - 2005
BITSAT
Mathematics
Circle
The largest value of
$2x^3 - 3x^2 - 12x + 5$
for
$-2 \leq x \leq 4$
occurs at
$x$
is equal to :
BITSAT - 2005
BITSAT
Mathematics
Maxima and Minima
Total number of books is
$2n + 1$
. One is allowed to select a minimum of the one book and a maximum of
$n$
books. If total number of selections if
$63$
, then value of
$n$
is :
BITSAT - 2005
BITSAT
Mathematics
Combinations
Let $S$ be a set containing n elements and we select two subsets $A$ and $D$ of S at random, then the probability that $A \cup B = S$ and $A \cap B = \phi$ is:
BITSAT - 2005
BITSAT
Mathematics
Probability
Let
$\alpha, \beta, \gamma$
and
$\delta$
are four positive real number such that their product is unity, then the least value of
$(1+\alpha)(1+\beta)(1+\gamma)(1+\delta)$
is:
BITSAT - 2005
BITSAT
Mathematics
Algebra of Complex Numbers
The point $(4, - 3)$ with respect to the ellipse $4x^2 + 5y^2 = 1$ is :
BITSAT - 2005
BITSAT
Mathematics
Ellipse
The equation of a parabola which passes through the intersection of a straight line $x + y = 0$ and the circle $x^2 + y ^2 + 4y = 0$ is :
BITSAT - 2005
BITSAT
Mathematics
Parabola
The tangents from a point $(2 \sqrt{2}, 1)$ to the hyperbola $16 x ^{2}-25 y ^{2}=400$ include an angle equal to.
BITSAT - 2005
BITSAT
Mathematics
Hyperbola
The degree of the differential equation $y(x)=1 +\frac{dy}{dx}+\frac{1}{1.2}\left(\frac{dy}{dx}\right)^2+\frac{1}{1.2.3}\left(\frac{dy}{dx}\right)^3+.........$ is
BITSAT - 2005
BITSAT
Mathematics
Order and Degree of Differential Equation
Given function $f(x)=\left(\frac{e^{2 x}-1}{e^{2 x}+1}\right)$ is.
BITSAT - 2005
BITSAT
Mathematics
General and Particular Solutions of a Differential Equation
Let $A$ and $B$ are two events and $P \left( A '\right)=0.3, P ( B )=0.4, P \left( A \cap B '\right)=0.5$, then $P ( A \cup B)$ is.
BITSAT - 2005
BITSAT
Mathematics
Bayes' Theorem
Let A and B be two sets then
$(A \cup B)' \cap (A '\cap B)$
is equal to
BITSAT - 1990
BITSAT
Mathematics
Venn Diagrams
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