List of top Mathematics Questions asked in VITEEE

Find the value of \(k\) if the lines \[ \frac{x-1}{2}=\frac{y-2}{3}=\frac{z-3}{4} \] and \[ \frac{x-4}{5}=\frac{y-1}{2}=\frac{z}{k} \] are coplanar.

If \( S_n = 3n^2 + 5n \) represents the sum of \( n \) terms of an A.P., find the \(10^{th}\) term \( (a_{10}) \).

Evaluate the integral \( \displaystyle \int \frac{1}{x\log x}\,dx \).

Find the area of the region bounded by the curve \(y^2=4x\) and the line \(x=3\).

If \(A\) is a square matrix of order \(3\) such that \( |adj\,A| = 64 \), then find the value of \( |A| \).

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?

If the sum of the first \(n\) terms of an A.P. is \(S_n = 3n^2 + 5n\), find the \(10^{th}\) term.

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 the value of \( x \) in the following equation: \[ \frac{2}{x} + \frac{3}{x + 1} = 1 \]

Find the value of \( x \) in the equation \( 2x + 3 = 7x - 8 \).

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: \[ x^2 - 5x + 6 = 0 \]