List of top Mathematics Questions asked in BITSAT

The number of solutions of the differential equation \[ \frac{dy}{dx} = \frac{y+1}{x-1} \] when \( y(1) = 2 \) 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:
Negation of the Boolean expression \( p \Leftrightarrow (q \Rightarrow p) \) is:
If \( f(x) = \frac{x}{\sqrt{1 + x^2}} \), then \( (f \circ f)(x) \) is:
If the eccentricity and length of the latus rectum of a hyperbola are \( \frac{\sqrt{13}}{3} \) and \( \frac{10}{3} \) units respectively, then what is the length of the transverse axis?
Simplify \( i^{57} + \frac{1}{i^{25}} \) and find its value:
The probability that a card drawn from a pack of 52 cards will be a diamond or a king is:
What is the angle between the two straight lines \( y = (2 - \sqrt{3})x + 5 \) and \( y = (2 + \sqrt{3})x - 7 \)?
If \( y = \sqrt{\frac{1 + \cos 2\theta}{1 - \cos 2\theta}} \), then \( \frac{dy}{d\theta} \) at \( \theta = \frac{3\pi}{4} \) is:
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:
Minimum value of 5cos(2x) + 5sin(2x)
Matrices when the solution of equations is not defined
circles (concyclic, 3 pts given and do they form equilateral, right angled triangle)

x=logp and y=1/p differential equation

A pack of cards contains 4 aces, 4 kings,4 queens, 4 jacks. Two cards are drawn from the deck, find out the probability that at least one of them is ace.

Length of tangent from (3,4) to x2+y2 = 9?

\(∫1/(1 + sinx)?\)
What is the probability of 53 Fridays in an ordinary year?
A normal is drawn at the point \( P \) to the parabola \( y^2 = 8x \), which is inclined at \( 60^\circ \) with the straight line \( y = 8 \). Then the point \( P \) lies on the straight line:
The locus of the mid-point of the chord of contact of tangents drawn from points lying on the straight line \[ 4x - 5y = 20 \] to the circle \[ x^2 + y^2 = 9 \text{ is:} \]
The mean of five observations is 4 and their variance is 5.2. If three of these observations are 1, 2, and 6, then the other two are:
If the sum of the coefficients in the expansion of \( (x + y)^n \) is 1024, then the value of the greatest coefficient in the expansion is:
Let \[ f(x) = \int \frac{x^2 \, dx}{(1 + x^2)(1 + \sqrt{1 + x^2})} \] {and} \( f(0) = 0 \), {then the value of \( f(A) \) is:}
If in a \( \triangle ABC \), \( 2b^2 = a^2 + c^2 \), then
\[ \frac{\sin 3B}{\sin B} { is equal to:} \]

If \( \alpha, \beta, \gamma \in [0, \pi] \) and if \( \alpha, \beta, \gamma \) are in AP, then \[ \frac{\sin \alpha - \sin \gamma}{\cos \gamma - \cos \alpha} \] {is equal to:}