List of top Mathematics Questions asked in BITSAT

What is the dot product of the vectors \( \mathbf{a} = (2, 3, 1) \) and \( \mathbf{b} = (1, -1, 4) \)?
Evaluate the integral: $$ \int_0^{\pi/4} \frac{\ln(1 + \tan x)}{\cos x \sin x} \, dx $$
What is the sum of the first 10 terms of the arithmetic progression with first term 3 and common difference 2?
What is the value of \( \int_0^{\pi/2} \sin x \cos x \, dx\)?
If the roots of the quadratic equation \( x^2 - 6x + k = 0 \) are real and distinct, what is the range of values for \( k\)?
If \( \sin \theta + \cos \theta = \sqrt{2} \), what is the value of \( \sin \theta \cos \theta \)?
If \( \sin \theta + \cos \theta = 1 \), what is the value of \( \sin^2 \theta + \cos^2 \theta \)?
If log$_{10}$(x + 1) = 2, what is the value of x?
The sum of the first 30 terms of an arithmetic progression is 930. If the first term is 2, what is the common difference of the progression?
If the roots of the quadratic equation \( 2x^2 - 5x + k = 0 \) are real and distinct, what is the range of values for \( k \)?
Find the derivative of \( y = \sin(x^2) \) with respect to \( x \).
What is the value of \( \sin 30^\circ \)?
The roots of the equation \( x^2 + 5x + 6 = 0 \) are:
The equation of a straight line is given by \( y = 3x + 4 \). What is the slope of the line?
A bag contains 5 red, 3 blue, and 2 green balls. If two balls are drawn at random without replacement, what is the probability that both are red?
The area enclosed between the curve \(y = \log_e(x + e)\) and the coordinate axes is:

Solve for \( x \): 
\( \log_{10}(x^2) = 2 \).

If the roots of the quadratic equation \( ax^2 + bx + c = 0 \) are real and equal, then:

Let \( A = \begin{bmatrix} 2 & 0 \\ 0 & 3 \end{bmatrix} \). The determinant of \( A^3 \) is:
The area enclosed between the curve \(y = \log_e(x + e)\) and the coordinate axes is:
If $ \tan \theta + \cot \theta = 4 $, then find the value of $ \tan^3 \theta + \cot^3 \theta $.
Solve the system of equations: \(x + y = 3\), \(x - y = 1\).
What is the area of a circle with diameter 10 cm?
Find the equation of the tangent to the curve \(y = x^2\) at the point (1,1).
What is the value of \(\int \frac{1}{x^2 + 1} \, dx\)?