List of top Mathematics Questions

Common difference of the AP \( 3, 1, -1, -3, \dots \) is
The roots of the equation \( 6x^2 - x - 2 = 0 \) are
The sum of the first 22 terms of the AP \( 8, 3, -2, \dots \) is
The equation \( 3x^2 - 5x + 2 = 0 \) has
If \( x - 4y - 14 = 0 \) and \( 5x - y - 13 = 0 \) will have:
Which of the following is true?
The lines \( 2x + 3y - 9 = 0 \) and \( 4x + 6y - 18 = 0 \) are:
The zero of linear polynomial \( ax + b \) is:
The cumulative frequency of a class is the frequency obtained by:
Given $ y = \sec(\tan^{-1}(x)) $, find $ \frac{dy}{dx} $ at $ x = \sqrt{3} $.
If \[ \frac{x}{4} + \frac{x}{3} < 13, \text{ then } x \in \]
Solution set of \( -12x > 38 \text{ for } x \in \mathbb{N} \) \[ -12x > 38 \]
Evaluate the following integral: \[ \int e^x \left[\frac{1}{1+x(1+x)^2}\right] dx \]
Evaluate the following sum: \[ \sum_{n=1}^{2025} i^n (1+i) \]
Evaluate the derivative of the function: \[ f(x) = x |x|, \quad \text{find} \quad f'(-10) \]
Find the value of $ (1 + i)^{10} $.
Evaluate the integral: $ \int_{-1}^1 |x - 3| \, dx $
Find the area of the triangle formed by the lines: $ y = -4, \quad y = x, \quad y = -4 $

Find the mean deviation of the following data: 

If $ \sum_{k=0}^{n+1} C_k^n = 512 $, find $ \sum_{k=0}^{n} C_k^n $.
Given the set $ S = \{ a, b, c, d, e, f \} $, find the total number of subsets with an odd number of elements.
Given that \( \mathbf{a} \times (2\hat{i} + 3\hat{j} + 4\hat{k}) = (2\hat{i} + 3\hat{j} + 4\hat{k}) \times \mathbf{b} \), \( |\mathbf{a} + \mathbf{b}| = \sqrt{29} \), \( \mathbf{a} \cdot \mathbf{b} = ? \)
Coefficient of \( x^9 \) in the expansion of \( \left( 4 - \frac{x^2}{9} \right)^{12} \)
Find the integral: \[ \int \left( \sin^{-1} \sqrt{x} + \cos^{-1} \sqrt{x} \right) \, dx \]
Evaluate the expression: \[ \frac{\sin \frac{\pi}{7} + \sin \frac{3\pi}{7}}{1 + \cos \frac{\pi}{7} + \cos \frac{2\pi}{7}} \]