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?

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:

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 $$ x^2 + y^2 = 9 \text{ is:} $$ 
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:
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:
A spherical balloon is filled with \( 4500\pi \) cubic meters of helium gas. If a leak in the balloon causes the gas to escape at the rate of \( 72\pi \) cubic meters per minute, then the rate (in meters per minute) at which the radius of the balloon decreases 49 minutes after the leakage began 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:}