List of top Mathematics Questions asked in BITSAT

The function \( f(x) = \tan^{-1}(\sin x + \cos x) \) is an increasing function in:

The range of the function \( f(x) = \sqrt{3x^2 - 4x + 5} \) is: 
 

If \[ A = \begin{bmatrix} 0 & 2 \\ 3 & -4 \end{bmatrix} \] and \[ kA = \begin{bmatrix} 0 & 3a \\ 2b & 24 \end{bmatrix}, \] then the values of \( k \), \( a \), and \( b \) respectively are:
The middle term in the expansion of \( \left(\frac{10}{x} + \frac{x}{10}\right)^{10} \) is:
Negation of the Boolean expression \( p \Leftrightarrow (q \Rightarrow p) \) is:
A set A has 3 elements and another set B has 6 elements. Then:
The shortest distance between the lines \[ \frac{x - 3}{2} = \frac{y - 2}{3} = \frac{z - 1}{-1} \] and \[ \frac{x + 3}{2} = \frac{y - 6}{1} = \frac{z - 5}{3} \] is:
Simplify \( i^{57} + \frac{1}{i^{25}} \) and find its value:
The area enclosed between the curve \( y = \log_e(x + e) \) and the coordinate axes is:

If the coordinates of the points A and B are (3, 3)  and  (7, 6),  then the length of the portion of the line AB intercepted between the axes is:

The ratio in which the YZ-plane divides the line segment formed by joining the points (-2, 4, 7) and  (3, -5, 8)  is  2 : m.  
The value of m is:

Find the mean deviation about the mean for the data: \( 4, 7, 8, 9, 10, 12, 13, 17 \)
The derivative of \( e^{x^3} \) with respect to \( \log x \) is:
A circle touches both the y-axis and the line \( x + y = 0 \). Then the locus of its center is:
The maximum value of \( z = 5x + 2y \) subject to the constraints: \[ x + y \leq 7, \quad x + 2y \leq 10, \quad x, y \geq 0 \]
Find the value of \[ \tan^{-1}\left(\frac{1}{4}\right) + \tan^{-1}\left(\frac{2}{9}\right) \]
If \( f(x) = \frac{x}{\sqrt{1 + x^2}} \), then \( (f \circ f)(x) \) is:
Number of words from the letters of the word BHARAT in which B and H will never come together is:

Solution of \( 2^x + 2^{|x|} \geq 2\sqrt{2} \) is:

If \( P(B) = \frac{3}{5} \), \( P(A \mid B) = \frac{1}{2} \), and \( P(A \cup B) = \frac{4}{5} \), then the value of \( P(A \cup B)' + P(A' \cup B) \) is:
Bag P contains 6 red and 4 blue balls, and bag Q contains 5 red and 6 blue balls. A ball is transferred from bag P to bag Q and then a ball is drawn from bag Q. What is the probability that the ball drawn is blue?
The number of solutions of the differential equation \[ \frac{dy}{dx} = \frac{y+1}{x-1} \] when \( y(1) = 2 \) is:
The roots of the given equation \( (p - q)x^2 + (q - r)x + (r - p) = 0 \) are:
The probability of getting a sum greater than 7 when a pair of dice are thrown is:
If one root of the equation \( x^2 + px + 12 = 0 \) is \( 4 \), while the equation \( x^2 + px + q = 0 \) has equal roots, then the value of \( q \) is: