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Mathematics
List of top Mathematics Questions asked in VITEEE
If
$|\vec{a} | = 3, |\vec{b}| = 2, |\vec{c}| = 1$
then the value of
$|\vec{a}. \vec{b} + \vec{b} . \vec{c} + \vec{c} . \vec{a}| $
is (given that
$\vec{a} + \vec{b} + \vec{c} = 0$
)
VITEEE - 2016
VITEEE
Mathematics
Vectors
If $g(x)$ is a polynomial satisfying $g (x) g(y) = g(x) + g(y) + g(xy) - 2 $ for all real $x$ and $y$ and $g (2) = 5$ then $\Lt_{x \to 3} g(x)$ is
VITEEE - 2016
VITEEE
Mathematics
solution of system of linear inequalities in two variables
In a culture the bacteria count is 1,00,000. The number is increased by 10% in 2 hours. In how many hours will the count reach 2,00,000 if the rate of growth of bacteria is proportional to the number present.
VITEEE - 2016
VITEEE
Mathematics
limits and derivatives
A tetrahedron has vertices at $O (0, 0, 0), A (1, 2, 1) B (2, 1, 3) $ and $C (-1, 1, 2)$. Then the angle between the faces $OAB$ and $ABC$ will be
VITEEE - 2016
VITEEE
Mathematics
Straight lines
The probability of India winning a test match against Australia is $\frac{1}{2}$ assuming independence from match to match. The probability that in a match series India�s second win occurs at third test match is
VITEEE - 2016
VITEEE
Mathematics
Probability
The value of $ (1 + \omega - \omega^2)^7$ is
VITEEE - 2016
VITEEE
Mathematics
complex numbers
If $ A$ and $B$ are matrices and $B = ABA^{-1}$ then the value of $(A + B) (A - B)$ is
VITEEE - 2016
VITEEE
Mathematics
Matrices
What is the area of a loop of the curve
$r = a \sin^3 \theta$
?
VITEEE - 2016
VITEEE
Mathematics
Integration by Partial Fractions
If $e^x = y + \sqrt{ 1 + y^2}$ , then the value of y is
VITEEE - 2016
VITEEE
Mathematics
Relations and functions
If the letters of the word KRISNA are arranged in all possible ways and these words are written out as in a dictionary, then the rank of the word KRISNA is
VITEEE - 2016
VITEEE
Mathematics
Permutations
If
$N$
is a set of natural numbers, then under binary operation
$a ?b =a + b, (N, ?)$
is
VITEEE - 2015
VITEEE
Mathematics
Relations and functions
At
$t = 0$
, the function
$f \left(t\right) = \frac{sin\,t}{t}$
has
VITEEE - 2015
VITEEE
Mathematics
Definite Integral
If p, q, r are simple propositions with truth values T, F, T, then the truth value of
$\left(\sim p \vee q\right) \wedge \sim r \Rightarrow p $
is
VITEEE - 2015
VITEEE
Mathematics
mathematical reasoning
If
$(2, 7, 3)$
is one end of a diameter of the sphere
$x^2 + y^2 + z^2 - 6\,x -12\,y -2\,z + 20 = 0$
, then the coordinates of the other end of the diameter are
VITEEE - 2015
VITEEE
Mathematics
Three Dimensional Geometry
On the interval
$[0, 1]$
, the function
$x^{25}(1 - x)^{75}$
takes its maximum value at the point
VITEEE - 2015
VITEEE
Mathematics
Application of derivatives
The two lines
$x = my + n, z = py + q$
and
$x = m'y + n',\, z = p'y + q'$
are perpendicular to each other, if
VITEEE - 2015
VITEEE
Mathematics
Three Dimensional Geometry
If a line segment OP makes angles of
$ \frac{\pi}{4}$
and
$\frac{\pi }{3}$
with X-axis and Y-axis, respectively. Then, the direction cosines are
VITEEE - 2015
VITEEE
Mathematics
Three Dimensional Geometry
The normal at the point
$(at_1^2 ,\, 2at_1)$
on the parabola meets the parabola again in the point
$(at_1^2 ,\, 2at_2)$
, then
VITEEE - 2015
VITEEE
Mathematics
Parabola
If p : It rains today, q : I go to school, r : I shall meet my friends and s : I shall go for a movie, then which of the following is the proportion? If it does not rain or if I do not go to school, then I shall meet my friend and go for a movie.
VITEEE - 2015
VITEEE
Mathematics
mathematical reasoning
If
$|z| \ge 3$
, then the least value of
$\left|z+\frac{1}{4}\right|$
is
VITEEE - 2015
VITEEE
Mathematics
complex numbers
The area bounded by the curves
$y = cos\, x$
and
$y = sin \,x$
between the ordinates
$x = 0$
and
$x = \frac{3\pi}{2}$
is
VITEEE - 2015
VITEEE
Mathematics
Integrals of Some Particular Functions
If line $y = 2\,x + c$ is a normal to the ellipse $\frac{x^2}{9} + \frac{y^2}{16} = 1 $, then
VITEEE - 2015
VITEEE
Mathematics
Ellipse
The solution of $\frac{dy}{dx} = \frac{x^{2} + y^{2} + 1}{2xy}$, satisfying $ y\left(1\right) = 0$ is given by
VITEEE - 2014
VITEEE
Mathematics
integral
If the system of equations
$x + ky - z = 0, 3x - ky - z = 0$
and
$x - 3y + z = 0$
, has non-zero solution, then
$k$
is equal to
VITEEE - 2014
VITEEE
Mathematics
Determinants
If there is an error of
$k\%$
in measuring the edge of a cube, then the percent error in estimating its volume is
VITEEE - 2014
VITEEE
Mathematics
Application of derivatives
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