List of top Mathematics Questions asked in VITEEE

Find the value of \( x \) in the equation \( 2x + 3 = 7x - 8 \).
The sum of the first 10 terms of an arithmetic progression is 150. If the first term is 10, what is the common difference?
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 \( 5x - 7 = 3x + 9 \).
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.
Solve for \( x \) in the equation \( \frac{2x - 3}{4} = 5 \).
Find the derivative of the function: \[ f(x) = 3x^3 - 5x^2 + 2x - 4 \]
Find the value of \( x \) in the following equation: \[ \frac{2}{x} + \frac{3}{x + 1} = 1 \]
Solve the quadratic equation: \[ x^2 - 5x + 6 = 0 \]
Solve for \( x \) in the equation \( \frac{1}{x} + \frac{1}{x+2} = \frac{5}{6} \).
Find the value of \( x \) in the equation \( 4(x - 2) = 3(x + 5) \).
Find the solution of the quadratic equation \( 2x^2 - 3x - 5 = 0 \).
Find the value of \( \log_2 32 \).
What is the area of a triangle with base 8 cm and height 6 cm?
Find the derivative of \( f(x) = 4x^3 - 6x^2 + 2x - 5 \).
What is the area of a triangle with base \( 12 \, \text{cm} \) and height \( 8 \, \text{cm} \)?
Find the derivative of \( f(x) = 3x^2 - 4x + 7 \).
If \( f(x) \) is continuous and \( \int_0^9 f(x) \, dx = 4 \), then the value of the integral \( \int_0^3 x \cdot f(x^2) \, dx \) is: (a) 2
The radius of the base of a cone is increasing at the rate of 3 cm/minute and the altitude is decreasing at the rate of 4 cm/minute. The rate of change of lateral surface when the radius is 7 cm and altitude is 24 cm is:
Let \( z \neq 1 \) be a complex number and let \( \omega = x + iy, y \neq 0 \). If \[ \frac{\omega -\overline{\omega}z}{1 -z} \] is purely real, then \( |z| \) is equal to
Let the vectors \( \overrightarrow{AB} = 2\hat{i} + 2\hat{j} + \hat{k} \) and \( \overrightarrow{AC} = 2\hat{i} + 4\hat{j} + 4\hat{k} \) be two sides of a triangle ABC. If \( G \) is the centroid of \( \triangle ABC \), then \( \frac{22}{7} |\overrightarrow{AG}|^2 + 5 = \): (a) 25
If \( f(x) \) defined as given below, is continuous on \( R \), then the value of \( a + b \) is equal to: % Function Definition \[f(x) = \begin{cases} \sin x, & x \leq 0 \\ x^2 + a, & 0<x<1 \\ bx + 3, & 1 \leq x \leq 3 \\ -3, & x>3 \end{cases}\]
If \( f(x) = \ln \left( \frac{x^2 + e}{x^2 + 1} \right) \), then the range of \( f(x) \) is:
The derivative of  \(\sin^2\)\(( \cot^{-1} {\sqrt {( \frac{1 + x}{1 - x}} })\) with respect to \( x \) is equal to: (a) 0