List of top Mathematics Questions asked in VITEEE

If \(\cos\theta=-\frac{3}{5}\) and \(\theta\) lies in the second quadrant, then \(\sin\theta\) is:
The equation of the tangent to the curve \(y=x^3-2x+1\) at \((1,0)\) is:
The derivative of \(\tan^{-1}\!\sqrt{\dfrac{1-\cos x}{1+\cos x}}\) with respect to \(x\) is:
The number of solutions of the equation \(2|x|+|x-2|=4\) is:
If the roots of the quadratic equation \(x^2-(p+1)x+p=0\) are equal, then \(p\) is:
If \(\sin A=\frac{3}{5}\) and \(\cos B=\frac{12}{13}\), where \(A\) and \(B\) are acute angles, then \(\sin(A+B)\) is:
A die is rolled 5 times. The probability of getting at least one six is:
A person travels from A to B at 40 km/h and returns at 60 km/h. The average speed for the entire journey is:
If \(A\) and \(B\) are two matrices such that \(AB\) is defined and \(AB = A\), then \(B\) is:
The area bounded by the curve \(y = x^2\), the x-axis and the lines \(x = 1\) and \(x = 2\) is:
If the sum of the first \(n\) terms of an A.P. is \(3n^2 + 5n\), then the 10th term is:
The value of \(\cos 15^\circ + \sin 15^\circ\) is:
A bag contains 5 red and 3 blue balls. Two balls are drawn one by one with replacement. The probability that both are red is:
The angle between the planes \(2x-y+z=6\) and \(x+y+2z=7\) is:
The value of \(\displaystyle \int_{-\infty}^{\infty} e^{-x^2}\,dx\) is:
If the roots of the equation \(x^3-6x^2+11x-6=0\) are in A.P., the common difference is:
A man is 4 times as old as his son. After 5 years, he will be 3 times as old as his son. The present age of the son is:
The probability of getting exactly 2 heads in 4 tosses of a fair coin is:
If the matrix \(\begin{bmatrix}1 & 2\\ 3 & 4\end{bmatrix}\) has determinant \(k\), then the determinant of its adjoint is:
The value of \(\lim_{x\to0}\frac{\sin 3x}{x}\) is:
The solution of the equation \(\sin x + \cos x = 0\) in \([0,2\pi]\) is:
The differential equation \(\frac{dy}{dx}=\frac{y}{x}\) represents:
If the vectors \(2\hat{i}+3\hat{j}+\hat{k}\) and \(4\hat{i}-\hat{j}+2\hat{k}\) are perpendicular, the value of \(\lambda\) in \(\lambda\hat{i}+2\hat{j}+3\hat{k}\) is:
The number of terms in the expansion of \((a+b+c)^5\) is:
If \(\sin\theta+\cos\theta=\sqrt{2}\), then \(\tan\theta+\cot\theta\) is: