List of top Mathematics Questions asked in VITEEE

The sum of the first \(10\) terms of an A.P. is \(150\). If the first term is \(10\), what is the common difference?
What is the distance of the point \((1,2,3)\) from the \(yz\)-plane?
Find the distance between the planes \(2x + 3y + 4z = 4\) and \(4x + 6y + 8z = 12\).
If the sum of the first \(n\) terms of an A.P. is \(S_n = 3n^2 + 5n\), find the \(10^{th}\) term.
Find the missing number in the series: \(2,\,6,\,12,\,20,\,30,\,?\)
If \( \tan^{-1}x + \tan^{-1}y = \frac{\pi}{4} \), then what is the value of \(x + y + xy\)?
Evaluate \( \displaystyle \int_{0}^{\pi/2} \frac{\sin x}{\sin x + \cos x}\,dx \).
If \(A\) is a square matrix of order \(3\) and \(|A| = 5\), find \(|adj(A)|\).
Find \(x\): \(4(x - 2) = 3(x + 5)\).
The sum of the first \(10\) terms of an A.P. is \(150\). If the first term is \(10\), what is the common difference?
Find \(x\): \(2x + 3 = 7x - 8\).
Find \(x\): \(4(x - 2) = 3(x + 5)\).
The value of the determinant \( \begin{vmatrix} 1 & a & a^2\\ 1 & b & b^2\\ 1 & c & c^2 \end{vmatrix} \) is:
Find the value of \( x \) in the following equation: \[ \frac{2}{x} + \frac{3}{x + 1} = 1 \]
Find the value of \( x \) in the equation \( 4(x - 2) = 3(x + 5) \).
Solve for \( x \) in the equation \( \frac{1}{x} + \frac{1}{x+2} = \frac{5}{6} \).
Find the value of \( x \) in the equation \( 2x + 3 = 7x - 8 \).
Solve for \( x \) in the equation \( \frac{2x - 3}{4} = 5 \).
Find the value of \( x \) in the equation \( 4x - 2 = 10 \).
Find the value of \( x \) in the equation \( 5x - 7 = 3x + 9 \).
Find the derivative of the function: \[ f(x) = 3x^3 - 5x^2 + 2x - 4 \]
Solve the quadratic equation: \[ x^2 - 5x + 6 = 0 \]
The ratio of the sum of two numbers to their difference is 5:1. If the sum of the numbers is 18, find the numbers.
Find the solution of the quadratic equation \( 2x^2 - 3x - 5 = 0 \).
What is the area of a triangle with base 8 cm and height 6 cm?