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List of top Mathematics Questions asked in VITEEE
The solution of $\frac{dv}{dt} +\frac{k}{m}v = -g$ is
VITEEE - 2018
VITEEE
Mathematics
integral
The principal value of
$sin^{-1} \left(sin \frac{5\pi}{3}\right)$
is
VITEEE - 2018
VITEEE
Mathematics
Trigonometric Equations
The vector equation of the symmetrical form of equation of straight line
$\frac{x-5}{3} = \frac{y+4}{7} = \frac{z-6}{2}$
is
VITEEE - 2018
VITEEE
Mathematics
Vector basics
For the LPP; maximise
$z =x + 4y$
subject to the constraints
$x + 2y \leq 2, x +2 y \ge 8, x, y \ge 0$
VITEEE - 2018
VITEEE
Mathematics
lpp graphical method
A football is inflated by pumping air in it. When it acquires spherical shape its radius increases at the rate of 0.02 cm/s. The rate of increase of its volume when the radius is 10 cm is ___________
$\pi$
cm/s
VITEEE - 2018
VITEEE
Mathematics
Rate of Change of Quantities
The interval in which the function
$f\left(x\right) = \frac{4x^{2}+1}{x}$
is decreasing is :
VITEEE - 2018
VITEEE
Mathematics
Rate of Change of Quantities
If the parabola
$y^2 = 4ax$
passes through the point
$(1, -2)$
, then the tangent at this point is
VITEEE - 2018
VITEEE
Mathematics
Parabola
The value of x obtained from the equation
$\begin{vmatrix}x+\alpha&\beta&\gamma\\ \gamma&x+\beta&\alpha\\ \alpha&\beta&x+\gamma\end{vmatrix}=0$
will be
VITEEE - 2017
VITEEE
Mathematics
Quadratic Equations
$\displaystyle\lim_{x \to\infty} \left(\frac{x^{2}}{3x-2}-\frac{x}{3}\right)=$
VITEEE - 2017
VITEEE
Mathematics
Limits
$\quad\int_{0}^{1} \left[f \left(x\right)g'' \left(x\right)-f''\left(x\right)g \left(x\right)\right]$
dx is equal to : [Given f(0) = g(0) = 0]
VITEEE - 2017
VITEEE
Mathematics
Integration by Parts
The volume V and depth x of water in a vessel are connected by the relation $V=5x-\frac{x^{2}}{6} $ and the volume of water is increasing, at the rate of $5 cm^{3}/sec,$ when x = 2 cm. The rate at which the depth of water is increasing, is
VITEEE - 2017
VITEEE
Mathematics
Application of derivatives
If $z=\frac{7-i}{3-4i} \, then\, z^{14}=$
VITEEE - 2017
VITEEE
Mathematics
Quadratic Equations
The area bounded by f (x) $=x^{2}, 0 \le x \le 1, g\left(x\right)=x+2,1\le x\le2$ and x- axis is
VITEEE - 2017
VITEEE
Mathematics
Area between Two Curves
Value of $\int\limits_{0}^{\pi /2} \frac{\sqrt{sin x}}{\sqrt{sin x}\sqrt{cos x}} $ dx is
VITEEE - 2017
VITEEE
Mathematics
integral
The solution of the differential equation log x $\frac{d y}{d x}+\frac{y}{x} =$ sin 2x is
VITEEE - 2017
VITEEE
Mathematics
Differential equations
Let A be the centre of the circle $x^{2}+y^{2}-2x-4y-20=0,$ and B( 1,7) andD(4,-2) are points on the circle then, if tangents be drawn at B and D, which meet at C, then area of quadri 1 ateral A BCD is-
VITEEE - 2017
VITEEE
Mathematics
Circle
A straight line parallel to the line 2x - y + 5 = 0 is also a tangent to the curve $y^{2}=4x+5.$ Then the point of contact is
VITEEE - 2017
VITEEE
Mathematics
Straight lines
Equation $\frac{1}{r}=\frac{1}{8}+\frac{3}{8} cos\, \theta represents$
VITEEE - 2017
VITEEE
Mathematics
Conic sections
If the eccentricity of the hyperbola $x^{2}-y^{2} cos ec^{2} \alpha=25 is \sqrt{5}$ times the eccentricity of the ellipse $x^{2} cos ec^{2} \alpha+y^{2}=5, then \alpha$ is equal to :
VITEEE - 2017
VITEEE
Mathematics
Hyperbola
If $f(x) = x^2 , g(x) = 2x,0 \leq x \leq 2$ then the value of $I(x) = \int\limits_0^2 max (f(x), g(x))$ is
VITEEE - 2016
VITEEE
Mathematics
integral
If the tangent to the function
$y = f(x) $
at
$(3,4)$
makes an angle of
$\frac{3 \pi }{4}$
with the positive direction of x-axis in anticlockwise direction then
$f ' (3)$
is
VITEEE - 2016
VITEEE
Mathematics
Tangents and Normals
The equation of one of the common tangents to the parabola
$y^2 = 8x$
and
$x^2 + y^2 - 12x + 4 = 0$
is
VITEEE - 2016
VITEEE
Mathematics
Parabola
The number of surjective functions from $A$ to $B$ where $A = \{1, 2, 3, 4 \}$ and $B = \{a, b\}$ is
VITEEE - 2016
VITEEE
Mathematics
types of functions
The value of
$ (1 + \omega - \omega^2)^7$
is
VITEEE - 2016
VITEEE
Mathematics
Complex numbers
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
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