List of top Mathematics Questions asked in VITEEE

In how many number of ways can 10 students be divided into three teams, one containing four students and the other three?
If \(R\) be a relation defined as \(aRb\) iff \(|a-b|>0\), then the relation is
Mean and standard deviation of marks obtained in some particular subject by four classes are given below. Report the class with the best performance
A manufacturer of cotter pins knows that 5% of his product is defective. He sells pins in boxes of 100 and guarantees that not more than one pin will be defective in a box. In order to find the probability that a box will fail to meet the guaranteed quality, the probability distribution he should use is
The probability that a certain kind of component will survive a given shock test is \(\frac{3}{4}\). The probability that exactly 2 of the next 4 components tested survive is
A random variable \(X\) follows binomial distribution with mean \(\alpha\) and variance \(\beta\). Then
Let \(S\) be a finite set containing \(n\) elements. Then the total number of commutative binary operation on \(S\) is
Let \(y\) be the number of people in a village at time \(t\). Assume that the rate of change of the population is proportional to the number of people in the village at any time and further assume that the population never increases in time. Then the population of the village at any fixed time \(t\) is given by
The differential equation of all straight lines touching the circle \(x^2+y^2=a^2\) is
The differential equation \(\left|\frac{dy}{dx}\right|+|y|+3=0\) admits
Solution of the differential equation \(xdy-ydx-\sqrt{x^2+y^2}\,dx=0\) is
Area enclosed by the curve \(\pi\left[4(x-\sqrt{2})^2+y^2\right]=8\) is
The value of \(\int_{0}^{a}\sqrt{\frac{a-x}{x}}\,dx\) is
Let P, Q, R and S be statements and suppose that \(P\to Q \to R \to P\); if \(\sim S \to R\), then
The directrix of the parabola \(y^2 + 4x + 3 = 0\) is
The length of the parabola \(y^2=12x\) cut off by the latus-rectum is
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 \(\lim_{x\to 3} g(x)\) is
The value of \(f(0)\) so that \(\frac{-e^x+2^x}{x}\) may be continuous at \(x=0\) is
If \(I=\int \frac{x^5}{\sqrt{1+x^3}}\,dx\), then \(I\) is equal to
A spherical balloon is expanding. If the radius is increasing at the rate of 2 centimeters per minute, the rate at which the volume increases (in cubic centimeters per minute) when the radius is 5 centimeters is
Let \([\,]\) denote the greatest integer function and \(f(x)=[\tan^2 x]\). Then
The shortest distance between the straight lines through the points \(A_1=(6,2,2)\) and \(A_2=(-4,0,-1)\), in the directions of \((1,-2,2)\) and \((3,-2,-2)\) is
The center and radius of the sphere \(x^2+y^2+z^2-3x-4z+1=0\) are
Let A and B are two fixed points in a plane then locus of another point C on the same plane then CA+CB = constant, \(>AB\) is
In a triangle ABC, the sides \(b\) and \(c\) are the roots of the equation \(x^2-61x+820=0\) and \(A=\tan^{-1}\left(\frac{4}{3}\right)\), then \(a^2\) is equal to